restore figure source files removed in 0fa2cacb

| commit 0fa2cacb60 | Author: Sébastien Loriot <sebastien.loriot@cgal.org> | Date: Tue Dec 3 17:27:02 2013 +0100 | | remove doc_tex documentation (including developer manual) and old manual tools
2014-01-24 08:48:20 +01:00 · 2014-01-24 08:48:20 +01:00 · 9114db9085
parent 13c69d52c1
commit 9114db9085
487 changed files with 69914 additions and 0 deletions
--- a/AABB_tree/doc/AABB_tree/fig_src/bench.xls
+++ b/AABB_tree/doc/AABB_tree/fig_src/bench.xls
--- a/AABB_tree/doc/AABB_tree/fig_src/teaser.ppt
+++ b/AABB_tree/doc/AABB_tree/fig_src/teaser.ppt
--- a/Algebraic_foundations/doc/Algebraic_foundations/fig_src/AlgebraicConceptHierarchy.fig
+++ b/Algebraic_foundations/doc/Algebraic_foundations/fig_src/AlgebraicConceptHierarchy.fig
@ -0,0 +1,54 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Landscape
+Center
+Metric
+A4      
+100.00
+Single
+-2
+1200 2
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 4050 2700 5850 2700 5850 3150 4050 3150 4050 2700
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 3420 1800 6480 1800 6480 2250 3420 2250 3420 1800
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 5400 4050 8100 4050 8100 4500 5400 4500 5400 4050
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 2700 4950 4500 4950 4500 5400 2700 5400 2700 4950
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 3150 4050 4050 4050 4050 4500 3150 4500 3150 4050
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 2700 5850 4500 5850 4500 6300 2700 6300 2700 5850
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 2700 6750 4500 6750 4500 7200 2700 7200 2700 6750
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 5850 4950 7650 4950 7650 5400 5850 5400 5850 4950
+2 1 0 2 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	2 1 2.00 120.00 90.00
+	 4950 2700 4950 2250
+2 1 0 2 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	2 1 2.00 120.00 90.00
+	 6750 4050 4950 3150
+2 1 0 2 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	2 1 2.00 120.00 90.00
+	 3600 4050 4950 3150
+2 1 0 2 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	2 1 2.00 120.00 90.00
+	 3600 4950 3600 4500
+2 1 0 2 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	2 1 2.00 120.00 90.00
+	 6750 4950 6750 4500
+2 1 0 2 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	2 1 2.00 120.00 90.00
+	 3600 5850 3600 5400
+2 1 0 2 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	2 1 2.00 120.00 90.00
+	 3600 6750 3600 6300
+4 1 0 50 -1 0 12 0.0000 4 195 2655 4950 2070 IntegralDomainWithoutDivision\001
+4 1 0 50 -1 0 12 0.0000 4 195 1275 4950 2970 IntegralDomain\001
+4 1 0 50 -1 0 12 0.0000 4 150 420 3600 4320 Field\001
+4 1 0 50 -1 0 12 0.0000 4 180 2325 6750 4320 UniqueFactorizationDomain\001
+4 1 0 50 -1 0 12 0.0000 4 195 1155 3600 5220 FieldWithSqrt\001
+4 1 0 50 -1 0 12 0.0000 4 150 1530 3600 6120 FieldWithKthRoot\001
+4 1 0 50 -1 0 12 0.0000 4 150 1425 3600 7020 FieldWithRootOf\001
+4 1 0 50 -1 0 12 0.0000 4 195 1230 6750 5220 EuclideanRing\001
--- a/Algebraic_foundations/doc/Algebraic_foundations/fig_src/AlgebraicConceptHierarchy.pdf
+++ b/Algebraic_foundations/doc/Algebraic_foundations/fig_src/AlgebraicConceptHierarchy.pdf
--- a/Alpha_shapes_2/doc/Alpha_shapes_2/fig_src/alphashape.pdf
+++ b/Alpha_shapes_2/doc/Alpha_shapes_2/fig_src/alphashape.pdf
--- a/Alpha_shapes_3/doc/Alpha_shapes_3/fig_src/alphashape.pdf
+++ b/Alpha_shapes_3/doc/Alpha_shapes_3/fig_src/alphashape.pdf
--- a/Alpha_shapes_3/doc/Alpha_shapes_3/fig_src/classif.pdf
+++ b/Alpha_shapes_3/doc/Alpha_shapes_3/fig_src/classif.pdf
--- a/Apollonius_graph_2/doc/Apollonius_graph_2/fig_src/insert_degree_2.fig
+++ b/Apollonius_graph_2/doc/Apollonius_graph_2/fig_src/insert_degree_2.fig
@ -0,0 +1,75 @@
+#FIG 3.2
+Landscape
+Center
+Inches
+Letter  
+100.00
+Single
+7
+1200 2
+6 1200 2100 4425 7050
+6 1200 4200 1500 4425
+4 1 0 50 0 1 18 0.0000 4 120 120 1275 4350 v\001
+4 0 0 50 0 0 14 0.0000 4 150 105 1350 4425 0\001
+-6
+6 4125 4650 4425 4875
+4 1 0 50 0 1 18 0.0000 4 120 120 4200 4800 v\001
+4 0 0 50 0 0 14 0.0000 4 150 105 4275 4875 1\001
+-6
+1 3 0 1 0 0 50 0 20 0.000 1 0.0000 1500 4500 75 75 1500 4500 1575 4500
+1 3 0 1 0 0 50 0 20 0.000 1 0.0000 2775 2400 75 75 2775 2400 2850 2400
+1 3 0 1 0 0 50 0 20 0.000 1 0.0000 2775 6675 75 75 2775 6675 2850 6675
+1 3 0 1 0 0 50 0 20 0.000 1 0.0000 4050 4500 75 75 4050 4500 4125 4500
+2 1 0 2 0 7 50 0 -1 0.000 0 0 -1 0 0 2
+	 1500 4500 4050 4500
+2 3 0 2 0 7 52 0 -1 0.000 0 0 -1 0 0 5
+	 2775 2400 1500 4500 2775 6675 4050 4500 2775 2400
+4 1 0 50 0 1 18 0.0000 4 195 75 3000 2325 i\001
+4 1 0 50 0 1 18 0.0000 4 255 75 2775 3825 f\001
+4 1 0 50 0 1 18 0.0000 4 240 75 3000 6975 j\001
+4 1 0 50 0 1 18 0.0000 4 180 120 2775 5325 g\001
+-6
+6 7650 2325 10875 6750
+6 7650 4200 7950 4425
+4 1 0 50 0 1 18 0.0000 4 120 120 7725 4350 v\001
+4 0 0 50 0 0 14 0.0000 4 150 105 7800 4425 0\001
+-6
+6 10575 4650 10875 4875
+4 1 0 50 0 1 18 0.0000 4 120 120 10650 4800 v\001
+4 0 0 50 0 0 14 0.0000 4 150 105 10725 4875 1\001
+-6
+6 8850 4125 9150 4425
+4 1 0 50 0 1 18 0.0000 4 255 75 8925 4350 f\001
+4 0 0 50 0 0 14 0.0000 4 150 105 9000 4425 1\001
+-6
+6 8850 4650 9150 4950
+4 1 0 50 0 1 18 0.0000 4 255 75 8925 4875 f\001
+4 0 0 50 0 0 14 0.0000 4 150 105 9000 4950 2\001
+-6
+1 3 0 1 0 0 50 0 20 0.000 1 0.0000 9346 4494 75 75 9346 4494 9421 4494
+1 3 0 1 0 0 50 0 20 0.000 1 0.0000 8025 4500 75 75 8025 4500 8100 4500
+1 3 0 1 0 0 50 0 20 0.000 1 0.0000 9300 2400 75 75 9300 2400 9375 2400
+1 3 0 1 0 0 50 0 20 0.000 1 0.0000 9300 6675 75 75 9300 6675 9375 6675
+1 3 0 1 0 0 50 0 20 0.000 1 0.0000 10575 4500 75 75 10575 4500 10650 4500
+2 1 0 2 0 7 51 0 -1 0.000 0 0 -1 0 0 2
+	 8025 4500 10575 4500
+2 3 0 2 0 7 52 0 -1 0.000 0 0 -1 0 0 5
+	 9300 2400 8025 4500 9300 6675 10575 4500 9300 2400
+3 0 0 2 0 7 50 0 -1 0.000 0 0 0 3
+	 8025 4500 9300 5550 10575 4500
+	 0.000 1.000 0.000
+3 0 0 2 0 7 50 0 -1 0.000 0 0 0 3
+	 8025 4500 9375 3450 10575 4500
+	 0.000 1.000 0.000
+4 1 0 50 0 1 18 0.0000 4 255 75 9300 3525 f\001
+4 1 0 50 0 1 18 0.0000 4 180 120 9300 5625 g\001
+4 1 0 50 0 1 18 0.0000 4 120 120 9525 4425 v\001
+-6
+2 1 0 4 0 7 50 0 -1 0.000 0 0 -1 1 0 2
+	2 1 4.00 240.00 480.00
+	 4950 4275 7200 4275
+2 1 0 4 0 7 50 0 -1 0.000 0 0 -1 1 0 2
+	2 1 4.00 240.00 480.00
+	 7200 4725 4950 4725
+4 1 0 50 0 1 14 0.0000 4 150 690 6450 5025 removal\001
+4 1 0 50 0 1 14 0.0000 4 150 780 5625 4125 insertion\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/Bezier_arr.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/Bezier_arr.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/Europe.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/Europe.fig
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/Europe.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/Europe.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/algebraic_curves.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/algebraic_curves.fig
@ -0,0 +1,16 @@
+#FIG 3.2  Produced by xfig version 3.2.5
+Landscape
+Center
+Metric
+A4      
+100.00
+Single
+-2
+1200 2
+6 660 435 7401 5625
+2 2 0 2 0 0 50 -1 -1 0.000 0 0 -1 0 0 5
+	 669 444 7392 444 7392 5616 669 5616 669 444
+2 5 0 1 21 -1 55 -1 -1 0.000 0 0 -1 0 0 5
+	0 algebraic_curves_xalci.png
+	 669 444 7392 444 7392 5616 669 5616 669 444
+-6
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/algebraic_segments.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/algebraic_segments.fig
@ -0,0 +1,85 @@
+#FIG 3.2  Produced by xfig version 3.2.5
+Landscape
+Center
+Metric
+A4      
+100.00
+Single
+-2
+1200 2
+1 3 0 4 0 0 45 -1 41 0.000 1 0.0000 2450 2994 26 26 2450 2994 2475 2994
+1 3 0 4 0 0 45 -1 41 0.000 1 0.0000 2324 1514 26 26 2324 1514 2350 1514
+1 3 0 4 0 0 45 -1 41 0.000 1 0.0000 2330 1664 26 26 2330 1664 2355 1664
+1 3 0 4 0 0 45 -1 41 0.000 1 0.0000 2503 1742 26 26 2503 1742 2529 1742
+1 3 0 4 0 0 45 -1 41 0.000 1 0.0000 2909 2304 26 26 2909 2304 2935 2304
+1 3 0 4 0 0 45 -1 41 0.000 1 0.0000 3191 2153 26 26 3191 2153 3217 2153
+1 3 0 4 0 0 45 -1 41 0.000 1 0.0000 3157 2942 26 26 3157 2942 3182 2942
+1 3 0 4 0 0 45 -1 41 0.000 1 0.0000 3380 2307 26 26 3380 2307 3405 2307
+1 3 0 4 0 0 45 -1 41 0.000 1 0.0000 4006 2994 26 26 4006 2994 4032 2994
+1 3 0 4 0 0 45 -1 41 0.000 1 0.0000 4655 2315 26 26 4655 2315 4680 2315
+1 3 0 4 0 0 45 -1 41 0.000 1 0.0000 4858 2148 26 26 4858 2148 4883 2148
+1 3 0 4 0 0 45 -1 41 0.000 1 0.0000 4847 2951 26 26 4847 2951 4873 2951
+1 3 0 4 0 0 45 -1 41 0.000 1 0.0000 5564 3002 26 26 5564 3002 5590 3002
+1 3 0 4 0 0 45 -1 41 0.000 1 0.0000 5688 4512 26 26 5688 4512 5713 4512
+1 3 0 4 0 0 45 -1 41 0.000 1 0.0000 5688 1672 26 26 5688 1672 5713 1672
+1 3 0 4 0 0 45 -1 41 0.000 1 0.0000 6520 1244 26 26 6520 1244 6546 1244
+1 3 0 4 0 0 45 -1 41 0.000 1 0.0000 4024 1991 26 26 4024 1991 4050 1991
+1 3 0 4 0 0 45 -1 41 0.000 1 0.0000 4023 2180 26 26 4023 2180 4049 2180
+1 3 0 4 0 0 45 -1 41 0.000 1 0.0000 4470 1480 26 26 4470 1480 4496 1480
+1 3 0 4 0 0 45 -1 41 0.000 1 0.0000 3580 1480 26 26 3580 1480 3606 1480
+2 1 0 4 22 7 50 -1 -1 0.000 0 0 -1 0 0 23
+	 2453 2985 2479 2805 2556 2633 2719 2462 2839 2350 2985 2264
+	 3157 2170 3328 2110 3526 2058 3714 2024 3955 2007 4246 2007
+	 4444 2041 4598 2076 4770 2127 4915 2187 5113 2299 5293 2436
+	 5396 2539 5499 2693 5550 2848 5568 2985 5576 3045
+2 1 0 4 3 7 50 -1 -1 0.000 0 0 -1 0 0 33
+	 2110 5593 2213 5387 2376 5087 2565 4726 2779 4375 2942 4083
+	 3079 3731 3140 3500 3157 3234 3157 2994 3191 2668 3242 2462
+	 3328 2367 3440 2256 3551 2196 3680 2179 4392 2179 4555 2230
+	 4658 2299 4752 2393 4795 2496 4804 2590 4821 2745 4838 2822
+	 4830 3268 4855 3422 4890 3577 4950 3748 5010 3911 5130 4160
+	 5276 4418 5645 5052 5954 5593
+2 1 0 4 12 7 50 -1 -1 0.000 0 0 -1 0 0 3
+	 6520 1244 6983 1038 7378 858
+2 1 0 4 1 7 50 -1 -1 0.000 0 0 -1 0 0 7
+	 2342 1518 2496 1724 2676 1973 2865 2204 2994 2445 3105 2659
+	 3157 2951
+2 1 1 2 1 0 50 -1 -1 5.000 0 0 -1 0 0 4
+	 2324 1509 2024 1166 1552 643 1364 437
+2 1 1 2 12 0 50 -1 -1 5.000 0 0 -1 0 0 4
+	 2333 1664 1732 1355 1132 1063 677 866
+2 1 1 2 1 0 50 -1 -1 5.000 0 0 -1 0 0 20
+	 6683 429 6383 755 5894 1304 5465 1844 5259 2067 5139 2264
+	 5036 2436 4933 2642 4864 2813 4838 2951 4855 3165 4907 3362
+	 5001 3551 5113 3774 5379 4126 5568 4366 5773 4623 6142 5035
+	 6477 5370 6657 5593
+2 1 1 2 12 0 50 -1 -1 5.000 0 0 -1 0 0 4
+	 5705 1672 6065 1475 6314 1338 6511 1261
+2 1 1 2 21 0 50 -1 -1 5.000 0 0 -1 0 0 21
+	 2453 3011 2453 3182 2530 3371 2676 3551 2813 3680 2994 3800
+	 3191 3886 3345 3946 3500 3989 3680 4014 3869 4032 4272 4040
+	 4521 3989 4727 3929 4941 3843 5156 3731 5327 3585 5447 3431
+	 5525 3285 5568 3148 5559 2994
+2 2 0 2 0 0 50 -1 -1 0.000 0 0 -1 0 0 5
+	 669 437 7361 437 7361 5584 669 5584 669 437
+2 1 0 4 12 7 50 -1 -1 0.000 0 0 -1 0 0 46
+	 2333 1672 2402 1698 2453 1715 2513 1750 2608 1801 2685 1835
+	 2736 1870 2822 1921 2934 2016 3037 2067 3122 2119 3217 2187
+	 3320 2264 3388 2307 3483 2376 3560 2445 3629 2505 3680 2547
+	 3732 2608 3774 2650 3834 2702 3877 2762 3912 2796 3937 2839
+	 3955 2882 3989 2934 3989 2976 3997 3011 4015 2968 4040 2908
+	 4058 2882 4083 2839 4135 2771 4195 2710 4263 2642 4332 2573
+	 4409 2487 4521 2402 4624 2316 4727 2239 4881 2136 5036 2041
+	 5276 1887 5490 1767 5593 1707 5670 1690
+2 1 0 4 25 7 50 -1 -1 30.000 0 0 -1 0 0 2
+	 4015 2995 4015 1988
+2 1 1 2 1 0 50 -1 -1 5.000 0 0 -1 0 0 8
+	 3174 2959 3157 3242 3071 3457 2848 3843 2625 4169 2239 4649
+	 1724 5224 1372 5593
+2 1 1 2 25 7 50 -1 -1 5.000 0 0 -1 0 0 2
+	 4010 424 4020 5584
+4 0 1 50 -1 14 12 0.0000 4 150 405 2315 2130 cv3\001
+4 0 21 50 -1 14 12 0.0000 4 150 405 5481 2557 cv1\001
+4 0 3 50 -1 14 12 0.0000 4 150 405 2794 4497 cv0\001
+4 0 12 50 -1 14 12 0.0000 4 150 405 5034 1804 cv2\001
+4 0 25 50 -1 14 12 0.0000 4 150 405 4081 4747 cv4\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/arr_segs.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/arr_segs.fig
@ -0,0 +1,145 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Landscape
+Center
+Metric
+A4      
+50.00
+Single
+-2
+1200 2
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4500 1800 50 50 4500 1800 4550 1800
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 6795 2250 50 50 6795 2250 6845 2250
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 8325 1575 50 50 8325 1575 8375 1575
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 7875 4050 50 50 7875 4050 7925 4050
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 7605 6525 50 50 7605 6525 7655 6525
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 6525 6075 50 50 6525 6075 6575 6075
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4725 7200 50 50 4725 7200 4775 7200
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 2925 5625 50 50 2925 5625 2975 5625
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3375 4455 50 50 3375 4455 3425 4455
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3150 3150 50 50 3150 3150 3200 3150
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5220 2700 50 50 5220 2700 5270 2700
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5850 3150 50 50 5850 3150 5900 3150
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5400 3600 50 50 5400 3600 5450 3600
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4725 4050 50 50 4725 4050 4775 4050
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4320 3600 50 50 4320 3600 4370 3600
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4095 4725 50 50 4095 4725 4145 4725
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4275 5400 50 50 4275 5400 4325 5400
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4905 5175 50 50 4905 5175 4955 5175
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5835 4935 50 50 5835 4935 5885 4935
+1 3 0 1 0 11 40 -1 20 0.000 1 0.0000 6300 4275 50 50 6300 4275 6350 4275
+1 3 0 1 0 11 40 -1 20 0.000 1 0.0000 3825 3150 50 50 3825 3150 3875 3150
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 9000 6975 50 50 9000 6975 9050 6975
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 9900 5625 50 50 9900 5625 9950 5625
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 10575 6525 50 50 10575 6525 10625 6525
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4682 3162 50 50 4682 3162 4732 3162
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 6782 5392 50 50 6782 5392 6832 5392
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4722 6732 50 50 4722 6732 4772 6732
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 9882 4222 50 50 9882 4222 9932 4222
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 1800 1125 90 90 1800 1125 1890 1125
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 11250 7650 90 90 11250 7650 11340 7650
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 4500 1935 3285 3150
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 3285 3195 3525 4455
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 3510 4545 3060 5580
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 3105 5625 4710 6585
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 4785 6615 6345 6030
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 6300 5985 5685 4905
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5835 4785 6705 5220
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 6795 5190 7665 4110
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 7695 4005 6750 2430
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 6660 2385 4635 1935
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 4965 5310 4290 5535
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5475 3720 4830 4140
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 6000 3210 5520 3705
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 4635 3000 5160 2580
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 4200 3540 4575 3045
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 4635 4155 4200 3690
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5295 2595 5985 3060
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 4155 5445 3992 4783
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 3
+	 4950 5175 4275 5400 4095 4725
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 4236 4707 4365 5250
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 4463 5198 4920 5055
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 6975 2340 7920 3915
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 7965 3915 9630 4095
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 9675 4095 8280 1755
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 8190 1755 7020 2250
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 1800 1125 11250 1125 11250 7650 1800 7650 1800 1125
+2 1 0 3 8 7 50 -1 -1 0.000 0 0 -1 0 0 11
+	 3150 3150 4500 1800 6795 2250 7875 4050 6750 5400 5850 4950
+	 6525 6075 4770 6750 2925 5625 3375 4500 3150 3150
+2 1 0 3 8 7 50 -1 -1 0.000 0 0 -1 0 0 4
+	 6795 2250 8325 1575 9900 4230 6750 5400
+2 1 0 3 8 7 50 -1 -1 0.000 0 0 -1 0 0 4
+	 6750 5355 7605 6525 4725 7200 4725 6750
+2 1 0 3 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 7605 6525 9855 4230
+2 1 0 3 8 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 7605 6525 9000 6975 9900 5625 10575 6525 9000 6975
+2 1 0 3 8 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 4680 3150 5220 2700 5850 3150 5400 3600 4680 3150
+2 1 0 3 8 7 50 -1 -1 0.000 0 0 -1 0 0 4
+	 4680 3150 4320 3600 4770 4050 5400 3600
+2 1 0 3 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 7875 4050 9900 4230
+4 0 0 50 -1 0 20 0.0000 2 315 705 4590 3690 $f_4$\001
+4 0 0 50 -1 0 18 0.0000 2 270 690 3780 3015 $u_1$\001
+4 0 0 50 -1 0 18 0.0000 2 270 690 6210 4140 $u_2$\001
+4 0 0 50 -1 0 18 0.0000 2 270 675 6570 2115 $v_1$\001
+4 0 0 50 -1 0 18 0.0000 2 240 450 6840 3330 $e'$\001
+4 0 0 50 -1 0 18 0.0000 2 240 390 7470 3105 $e$\001
+4 0 0 50 -1 0 18 0.0000 2 270 1770 7470 2250 $e_{\\rm prev}$\001
+4 0 0 50 -1 0 18 0.0000 2 270 675 7875 4365 $v_2$\001
+4 0 0 50 -1 0 18 0.0000 2 270 1770 8325 3870 $e_{\\rm next}$\001
+4 0 0 50 -1 0 24 0.0000 2 405 900 4230 6075 $f_1$\001
+4 0 0 50 -1 0 24 0.0000 2 405 900 8145 2925 $f_2$\001
+4 0 0 50 -1 0 20 0.0000 2 315 705 4995 3195 $f_3$\001
+4 0 0 50 -1 0 24 0.0000 2 405 900 2385 2250 $f_0$\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/arr_segs.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/arr_segs.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/connect_comp.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/connect_comp.fig
@ -0,0 +1,36 @@
+#FIG 3.2
+Portrait
+Center
+Inches
+Letter  
+70.00
+Single
+-2
+1200 2
+1 3 0 1 0 4 40 0 20 0.000 1 0.0000 4200 3900 45 45 4200 3900 4245 3900
+1 3 0 1 0 4 40 0 20 0.000 1 0.0000 4800 3300 45 45 4800 3300 4845 3300
+1 3 0 1 0 4 40 0 20 0.000 1 0.0000 4500 2700 45 45 4500 2700 4545 2700
+1 3 0 1 0 4 40 0 20 0.000 1 0.0000 3600 2700 45 45 3600 2700 3645 2700
+1 3 0 1 0 4 40 0 20 0.000 1 0.0000 3300 3600 45 45 3300 3600 3345 3600
+1 3 0 1 0 4 40 0 20 0.000 1 0.0000 4200 3300 45 45 4200 3300 4245 3300
+1 3 0 1 0 4 40 0 20 0.000 1 0.0000 5700 4500 45 45 5700 4500 5745 4500
+1 3 0 1 0 4 40 0 20 0.000 1 0.0000 5400 5100 45 45 5400 5100 5445 5100
+1 3 0 1 0 4 40 0 20 0.000 1 0.0000 3900 4800 45 45 3900 4800 3945 4800
+1 3 0 1 0 4 40 0 20 0.000 1 0.0000 5100 4200 45 45 5100 4200 5145 4200
+1 3 0 1 0 4 40 0 20 0.000 1 0.0000 4800 4650 45 45 4800 4650 4845 4650
+2 1 0 2 8 7 50 0 -1 0.000 0 0 -1 0 0 6
+	 3300 3600 4200 3900 4800 3300 4500 2700 3600 2700 3300 3600
+2 1 0 2 8 7 50 0 -1 0.000 0 0 -1 0 0 3
+	 3300 3600 4200 3300 4500 2700
+2 1 0 2 8 7 50 0 -1 0.000 0 0 -1 0 0 2
+	 4200 3300 3600 2700
+2 1 0 2 8 7 50 0 -1 0.000 0 0 -1 0 0 5
+	 3900 4800 5100 4200 5700 4500 5400 5100 4800 4650
+2 1 1 2 8 7 50 0 -1 2.000 0 0 -1 0 0 2
+	 4200 3900 5100 4200
+2 1 1 2 8 7 50 0 -1 2.000 0 0 -1 0 0 2
+	 3900 4800 5400 5100
+2 2 0 0 0 7 50 0 -1 0.000 0 0 -1 0 0 5
+	 3000 2550 6000 2550 6000 5250 3000 5250 3000 2550
+4 0 0 50 0 0 16 0.0000 2 210 570 4275 5100 $s_2$\001
+4 0 0 50 0 0 16 0.0000 2 210 570 4575 3975 $s_1$\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/connect_comp.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/connect_comp.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/cylindrical_decomposition.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/cylindrical_decomposition.fig
@ -0,0 +1,70 @@
+#FIG 3.2  Produced by xfig version 3.2.5
+Landscape
+Center
+Metric
+A4      
+100.00
+Single
+-2
+1200 2
+6 450 675 7200 6706
+6 1896 835 2202 1141
+2 1 0 3 1 7 49 -1 -1 0.000 0 0 -1 0 0 2
+	 1905 844 2193 1131
+2 1 0 3 1 7 49 -1 -1 0.000 0 0 -1 0 0 2
+	 1905 1131 2193 844
+-6
+6 6357 1568 6664 1875
+2 1 0 3 1 7 49 -1 -1 0.000 0 0 -1 0 0 2
+	 6367 1578 6654 1865
+2 1 0 3 1 7 49 -1 -1 0.000 0 0 -1 0 0 2
+	 6367 1865 6654 1578
+-6
+2 1 1 3 0 7 50 -1 -1 24.000 0 0 -1 0 0 2
+	 996 819 996 6562
+2 1 1 3 0 7 50 -1 -1 24.000 0 0 -1 0 0 2
+	 3274 819 3274 6562
+2 1 1 3 0 7 50 -1 -1 24.000 0 0 -1 0 0 2
+	 5132 819 5132 6562
+2 1 1 3 0 7 50 -1 -1 24.000 0 0 -1 0 0 2
+	 6511 819 6511 6562
+2 1 0 4 4 7 50 -1 -1 0.000 0 0 -1 0 0 4
+	 3273 955 3972 952 4522 949 5126 958
+2 1 0 4 0 7 50 -1 -1 24.000 0 0 -1 0 0 14
+	 5134 961 5441 978 5613 1009 5747 1032 5857 1060 5965 1094
+	 6047 1134 6146 1176 6336 1318 6404 1411 6446 1485 6475 1561
+	 6486 1621 6495 1706
+2 1 0 4 24 7 50 -1 -1 8.000 0 0 -1 0 0 9
+	 5120 3699 5133 3604 5325 3438 5848 2972 6097 2672 6301 2378
+	 6423 2142 6493 1893 6512 1727
+2 1 0 4 3 7 50 -1 -1 8.000 0 0 -1 0 0 10
+	 6512 5582 6474 5391 6340 5059 6174 4804 5976 4561 5708 4287
+	 5420 4044 5242 3891 5152 3795 5114 3712
+2 1 0 4 12 7 50 -1 -1 8.000 0 0 -1 0 0 8
+	 5133 6437 5625 6393 5963 6297 6225 6176 6365 6035 6454 5895
+	 6506 5729 6499 5620
+2 1 0 4 23 7 50 -1 -1 8.000 0 0 -1 0 0 2
+	 3282 6444 5127 6437
+2 1 0 4 11 7 50 -1 -1 8.000 0 0 -1 0 0 15
+	 1016 5671 1048 5850 1131 5997 1227 6105 1316 6169 1463 6252
+	 1603 6297 1712 6329 1871 6361 2037 6393 2229 6405 2465 6425
+	 2740 6425 3014 6425 3269 6444
+2 1 0 4 24 7 50 -1 -1 8.000 0 0 -1 0 0 19
+	 1010 5601 1023 5435 1093 5237 1176 5084 1252 4957 1361 4810
+	 1469 4670 1635 4510 1776 4382 1929 4261 2063 4165 2178 4095
+	 2325 4006 2484 3929 2669 3840 2842 3776 2989 3738 3084 3725
+	 3250 3719
+2 1 0 4 3 7 50 -1 -1 8.000 0 0 -1 0 0 21
+	 1023 1727 1029 1919 1061 2066 1112 2187 1220 2372 1291 2480
+	 1367 2595 1444 2678 1533 2787 1693 2934 1846 3068 1980 3176
+	 2108 3259 2223 3323 2401 3425 2554 3502 2740 3578 2854 3610
+	 3014 3655 3148 3693 3263 3687
+2 1 0 4 12 7 50 -1 -1 0.000 0 0 -1 0 0 13
+	 1026 1711 1037 1549 1130 1408 1243 1283 1388 1184 1521 1113
+	 1683 1074 1807 1031 2009 1006 2306 978 2569 966 2960 960
+	 3272 955
+2 2 0 2 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 594 819 7056 819 7056 6562 594 6562 594 819
+4 0 0 50 -1 12 31 0.0000 4 316 306 1952 1409 p\001
+4 0 0 50 -1 12 31 0.0000 4 316 306 6664 1867 q\001
+-6
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_1.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_1.fig
@ -0,0 +1,76 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Landscape
+Center
+Metric
+A4      
+50.00
+Single
+-2
+1200 2
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5175 6075 50 50 5175 6075 5225 6075
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3825 4725 50 50 3825 4725 3875 4725
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5175 3375 50 50 5175 3375 5225 3375
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 6525 4725 50 50 6525 4725 6575 4725
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 2025 2250 101 101 2025 2250 2126 2250
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 8325 7650 101 101 8325 7650 8426 7650
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 3150 7200 3150 2700
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 2475 6750 7200 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3870 6840 3870 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4500 6840 4500 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5175 6840 5175 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5850 6840 5850 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6525 6840 6525 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 6075 3060 6075
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 5400 3060 5400
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4725 3060 4725
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4050 3060 4050
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 3375 3060 3375
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 5175 6075 3825 4725 5175 3375 6525 4725 5175 6075
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 4725 6525 4725
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 3829 4592 5082 3328
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5081 6121 3828 4857
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 6541 4837 5288 6101
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5317 3371 6570 4635
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 4005 4635 6345 4635
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 2025 2250 8325 2250 8325 7650 2025 7650 2025 2250
+4 0 0 50 -1 0 18 0.0000 2 270 660 4095 3915 $e_1$\001
+4 0 0 50 -1 0 18 0.0000 2 270 660 5940 3915 $e_2$\001
+4 0 0 50 -1 0 18 0.0000 2 270 660 5940 5715 $e_3$\001
+4 0 0 50 -1 0 18 0.0000 2 270 660 4185 5715 $e_4$\001
+4 0 0 50 -1 0 18 0.0000 2 270 660 5040 4500 $e_5$\001
+4 0 0 50 -1 0 18 0.0000 2 270 675 6660 4815 $v_3$\001
+4 0 0 50 -1 0 18 0.0000 2 270 675 5130 3240 $v_2$\001
+4 0 0 50 -1 0 18 0.0000 2 270 675 5130 6390 $v_4$\001
+4 0 1 50 -1 0 16 0.0000 2 270 645 4545 4230 $s_1$\001
+4 0 1 50 -1 0 16 0.0000 2 270 645 5040 4950 $s_5$\001
+4 0 1 50 -1 0 16 0.0000 2 270 645 5400 5490 $s_3$\001
+4 0 1 50 -1 0 16 0.0000 2 270 645 4680 5490 $s_4$\001
+4 0 0 50 -1 0 18 0.0000 2 270 675 3420 4815 $v_1$\001
+4 0 1 50 -1 0 16 0.0000 2 270 645 5625 4230 $s_2$\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_1.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_1.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_10.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_10.fig
@ -0,0 +1,86 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Landscape
+Center
+Metric
+A4      
+50.00
+Single
+-2
+1200 2
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 7200 5040 50 50 7200 5040 7250 5040
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3825 5040 50 50 3825 5040 3875 5040
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5850 5040 50 50 5850 5040 5900 5040
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3150 5040 50 50 3150 5040 3200 5040
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3150 4725 50 50 3150 4725 3200 4725
+1 3 0 1 0 4 40 -1 20 0.000 0 -0.0000 5845 6755 50 50 5845 6755 5895 6755
+1 3 0 1 0 4 40 -1 20 0.000 0 -0.0000 3145 6080 50 50 3145 6080 3195 6080
+1 3 0 1 0 4 40 -1 20 0.000 0 -0.0000 7195 6755 50 50 7195 6755 7245 6755
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3145 5400 50 50 3145 5400 3195 5400
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5850 3375 50 50 5850 3375 5900 3375
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3150 4050 50 50 3150 4050 3200 4050
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 7200 3375 50 50 7200 3375 7250 3375
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 7200 4050 50 50 7200 4050 7250 4050
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 5492 3672 50 50 5492 3672 5542 3672
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 6008 3575 50 50 6008 3575 6058 3575
+1 3 0 1 0 7 40 -1 20 0.000 0 -0.0000 4492 5622 50 50 4492 5622 4542 5622
+1 3 0 1 0 7 40 -1 20 0.000 0 -0.0000 5482 6482 50 50 5482 6482 5532 6482
+1 3 0 1 0 7 40 -1 20 0.000 0 -0.0000 6032 6552 50 50 6032 6552 6082 6552
+1 3 0 1 0 7 40 -1 20 0.000 0 -0.0000 6492 5962 50 50 6492 5962 6542 5962
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 6492 4172 50 50 6492 4172 6542 4172
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4462 4502 50 50 4462 4502 4512 4502
+1 3 0 1 0 4 40 -1 20 0.000 0 -0.0000 7195 6080 50 50 7195 6080 7245 6080
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 2025 2250 101 101 2025 2250 2126 2250
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 8325 7650 101 101 8325 7650 8426 7650
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 2475 6750 7650 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4500 6840 4500 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5175 6840 5175 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5850 6840 5850 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6525 6840 6525 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 6075 3060 6075
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 5400 3060 5400
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4725 3060 4725
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 2025 2250 8325 2250 8325 7650 2025 7650 2025 2250
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 7200 6840 7200 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 6840 3825 6750
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 3825 5040 5850 3375 7200 5040 5850 6795 3825 5040
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 5040 7200 5040
+2 1 1 3 17 7 50 -1 -1 4.000 0 0 -1 0 0 2
+	 5850 5040 3150 5040
+2 1 1 2 0 7 50 -1 -1 6.000 0 0 -1 0 0 2
+	 3150 4725 7200 4050
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 3150 7200 3150 2700
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3145 6080 3055 6080
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3145 6755 3055 6755
+2 1 1 2 0 7 50 -1 -1 6.000 0 0 -1 0 0 2
+	 3145 6080 7195 6755
+2 1 1 2 0 7 50 -1 -1 6.000 0 0 -1 0 0 2
+	 7200 6075 7200 4050
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4050 3060 4050
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 3375 3060 3375
+2 1 1 2 0 7 50 -1 -1 6.000 0 0 -1 0 0 2
+	 3150 4050 7200 3375
+2 1 1 2 0 7 50 -1 -1 6.000 0 0 -1 0 0 2
+	 3155 5401 7205 6076
+4 0 0 50 -1 0 18 0.0000 2 270 2055 7262 4562 ${\\mathcal S}_2$\001
+4 0 15 50 -1 0 16 0.0000 2 240 375 3362 5272 $s$\001
+4 0 1 50 -1 0 18 0.0000 2 270 2055 6282 4882 ${\\mathcal S}_1$\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_10.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_10.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_12.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_12.fig
@ -0,0 +1,71 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Landscape
+Center
+Metric
+A4      
+50.00
+Single
+-2
+1200 2
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3150 5400 50 50 3150 5400 3200 5400
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 7200 5400 50 50 7200 5400 7250 5400
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3150 6750 50 50 3150 6750 3200 6750
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 7200 6750 50 50 7200 6750 7250 6750
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 3825 5400 50 50 3825 5400 3875 5400
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 6525 5400 50 50 6525 5400 6575 5400
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 5175 6750 50 50 5175 6750 5225 6750
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 3465 6075 50 50 3465 6075 3515 6075
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 6885 6075 50 50 6885 6075 6935 6075
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4492 4062 50 50 4492 4062 4542 4062
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 5852 4052 50 50 5852 4052 5902 4052
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5850 5400 50 50 5850 5400 5900 5400
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 6300 4945 50 50 6300 4945 6350 4945
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3825 4725 50 50 3825 4725 3875 4725
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 2025 1800 90 90 2025 1800 2115 1800
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 8325 7650 90 90 8325 7650 8415 7650
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 2475 6750 7650 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4500 6840 4500 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5175 6840 5175 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5850 6840 5850 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6525 6840 6525 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 6075 3060 6075
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4725 3060 4725
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 7200 6840 7200 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 6840 3825 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3145 6080 3055 6080
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3145 6755 3055 6755
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4050 3060 4050
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 3375 3060 3375
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 3150 7200 3150 2250
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 3150 6750 4500 4050 5175 6750 5850 4050 7200 6750
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 2025 1800 8325 1800 8325 7650 2025 7650 2025 1800
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 2700 3060 2700
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 5400 3060 5400
+2 1 1 3 17 7 50 -1 -1 5.000 0 0 -1 0 0 4
+	 3150 5400 3825 5400 5175 2700 6525 5400
+2 1 2 3 0 7 50 -1 -1 2.000 0 0 -1 0 0 10
+	 3825 4725 3132 5409 3807 6759 4482 6084 5157 6759 5832 6084
+	 6507 6759 7182 5409 6525 4725 5850 5400
+4 0 1 50 -1 0 16 0.0000 2 270 825 4770 4770 $\\pi_1$\001
+4 0 15 50 -1 0 16 0.0000 2 270 825 5535 3150 $\\pi_3$\001
+4 0 0 50 -1 0 16 0.0000 2 270 825 5895 6075 $\\pi_2$\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_12.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_12.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_13.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_13.fig
@ -0,0 +1,110 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Landscape
+Center
+Metric
+A4      
+50.00
+Single
+-2
+1200 2
+1 3 0 2 8 7 50 -1 -1 0.000 1 0.0000 4725 5985 775 775 4725 5985 5500 5985
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 5238 5414 50 50 5238 5414 5288 5414
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4764 5219 50 50 4764 5219 4814 5219
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4443 4892 50 50 4443 4892 4493 4892
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4540 6740 50 50 4540 6740 4590 6740
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4964 5862 50 50 4964 5862 5014 5862
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 2684 5853 50 50 2684 5853 2734 5853
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3946 5987 50 50 3946 5987 3996 5987
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5508 5981 50 50 5508 5981 5558 5981
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 6548 4277 50 50 6548 4277 6598 4277
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4260 4273 50 50 4260 4273 4310 4273
+1 3 0 2 8 7 50 -1 -1 0.000 1 0.0000 5400 4275 1145 1145 5400 4275 6545 4275
+1 3 0 2 8 7 50 -1 -1 0.000 1 0.0000 3825 5850 1140 1140 3825 5850 4965 5850
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 2025 2250 101 101 2025 2250 2126 2250
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 8325 7650 101 101 8325 7650 8426 7650
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 5400 3735 5400
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 5625 3735 5625
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 5175 3735 5175
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 4950 3735 4950
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 4725 3735 4725
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 4500 3735 4500
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 4275 3735 4275
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 4050 3735 4050
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 3825 3735 3825
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 3600 3735 3600
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 3375 3735 3375
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 3150 3735 3150
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 6075 3735 6075
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 6300 3735 6300
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 6525 3735 6525
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 6750 3735 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 6975 3735 6975
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 3825 7200 3825 2700
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3600 5940 3600 5850
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3375 5940 3375 5850
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 5940 3150 5850
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 2925 5940 2925 5850
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 2700 5940 2700 5850
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4050 5940 4050 5850
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4275 5940 4275 5850
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4500 5940 4500 5850
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4725 5940 4725 5850
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4950 5940 4950 5850
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5175 5940 5175 5850
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5400 5940 5400 5850
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5625 5940 5625 5850
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5850 5940 5850 5850
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6075 5940 6075 5850
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6300 5940 6300 5850
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6525 5940 6525 5850
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6750 5940 6750 5850
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6975 5940 6975 5850
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 2475 5850 7650 5850
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 7200 5940 7200 5850
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 2025 2250 8325 2250 8325 7650 2025 7650 2025 2250
+4 0 1 50 -1 0 16 0.0000 2 270 720 2910 5475 $C_1$\001
+4 0 1 50 -1 0 16 0.0000 2 270 720 4695 3690 $C_2$\001
+4 0 1 50 -1 0 16 0.0000 2 270 720 5430 6615 $C_3$\001
+4 0 0 50 -1 0 18 0.0000 2 270 1785 4770 5130 $v_{\\rm max}$\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_13.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_13.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_14.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_14.fig
@ -0,0 +1,97 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Landscape
+Center
+Metric
+A4      
+50.00
+Single
+-2
+1200 2
+5 1 0 2 8 7 50 -1 -1 0.000 0 0 0 0 4725.000 5175.000 3375 3375 4725 2925 6525 3825
+5 1 0 2 8 7 50 -1 -1 0.000 0 0 0 0 6525.000 4050.000 6525 3825 6750 4050 6525 4275
+1 1 0 2 8 7 50 -1 -1 0.000 1 0.6458 4698 5184 1800 900 4698 5184 6498 5184
+1 3 0 2 8 7 50 -1 -1 0.000 1 0.0000 4725 3375 452 452 4725 3375 5177 3375
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3370 3375 50 50 3370 3375 3420 3375
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 6520 3825 50 50 6520 3825 6570 3825
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 6520 4275 50 50 6520 4275 6570 4275
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5175 3375 50 50 5175 3375 5225 3375
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4275 3375 50 50 4275 3375 4325 3375
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4860 3375 50 50 4860 3375 4910 3375
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5625 4950 50 50 5625 4950 5675 4950
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5175 4725 50 50 5175 4725 5225 4725
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4725 6525 50 50 4725 6525 4775 6525
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3960 6570 50 50 3960 6570 4010 6570
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5355 6075 50 50 5355 6075 5405 6075
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3172 5952 50 50 3172 5952 3222 5952
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 6232 4392 50 50 6232 4392 6282 4392
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 6762 4052 50 50 6762 4052 6812 4052
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4912 3772 50 50 4912 3772 4962 3772
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4722 2932 50 50 4722 2932 4772 2932
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4962 4022 50 50 4962 4022 5012 4022
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 5272 5852 50 50 5272 5852 5322 5852
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4812 6162 50 50 4812 6162 4862 6162
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 5012 5392 50 50 5012 5392 5062 5392
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 3972 6452 50 50 3972 6452 4022 6452
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 2025 2250 101 101 2025 2250 2126 2250
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 8325 7425 101 101 8325 7425 8426 7425
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4725 5625 4635 5625
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4725 6075 4635 6075
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4725 6525 4635 6525
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 2520 5175 7695 5175
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4725 4725 4635 4725
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4725 4275 4635 4275
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4725 3825 4635 3825
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4725 3375 4635 3375
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4725 2925 4635 2925
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4275 5265 4275 5175
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 5265 3825 5175
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3375 5265 3375 5175
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 2925 5265 2925 5175
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5175 5265 5175 5175
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5625 5265 5625 5175
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6075 5265 6075 5175
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6525 5265 6525 5175
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6975 5265 6975 5175
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 7425 5265 7425 5175
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4725 6525 5175 4725
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 4725 7200 4725 2475
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4725 6975 4635 6975
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 2025 2250 8325 2250 8325 7425 2025 7425 2025 2250
+3 0 0 2 8 7 50 -1 -1 0.000 0 0 0 3
+	 4860 3375 5040 4815 5625 4950
+	 0.000 1.000 0.000
+3 0 0 2 8 7 50 -1 -1 0.000 0 0 0 5
+	 3960 6525 4230 5625 4725 4950 5220 5625 5355 6075
+	 0.000 1.000 1.000 1.000 0.000
+4 0 1 50 -1 0 16 0.0000 2 270 660 5085 4410 $c_1$\001
+4 0 1 50 -1 0 16 0.0000 2 270 660 6255 4815 $c_2$\001
+4 0 1 50 -1 0 16 0.0000 2 270 660 5130 5085 $c_3$\001
+4 0 1 50 -1 0 16 0.0000 2 270 660 5760 3105 $c_4$\001
+4 0 1 50 -1 0 16 0.0000 2 270 660 5220 3510 $c_5$\001
+4 0 1 50 -1 0 16 0.0000 2 270 660 3870 5715 $c_6$\001
+4 0 1 50 -1 0 16 0.0000 2 270 660 6840 4140 $c_7$\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_14.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_14.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_16.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_16.fig
@ -0,0 +1,86 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Landscape
+Center
+Metric
+A4      
+50.00
+Single
+-2
+1200 2
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3375 3375 50 50 3375 3375 3425 3375
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4725 6075 50 50 4725 6075 4775 6075
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5670 5625 50 50 5670 5625 5720 5625
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 6075 6525 50 50 6075 6525 6125 6525
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3825 4275 50 50 3825 4275 3875 4275
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3375 6210 50 50 3375 6210 3425 6210
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 5355 5850 50 50 5355 5850 5405 5850
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4202 5042 50 50 4202 5042 4252 5042
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 5642 5922 50 50 5642 5922 5692 5922
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 5952 5942 50 50 5952 5942 6002 5942
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 6082 5952 50 50 6082 5952 6132 5952
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4042 6282 50 50 4042 6282 4092 6282
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 3862 6252 50 50 3862 6252 3912 6252
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4722 2492 50 50 4722 2492 4772 2492
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3780 5625 50 50 3780 5625 3830 5625
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 1800 1575 101 101 1800 1575 1901 1575
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 7650 7425 101 101 7650 7425 7751 7425
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4725 6525 4635 6525
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4725 4725 4635 4725
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4725 4275 4635 4275
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4725 3825 4635 3825
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4725 3375 4635 3375
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4725 2925 4635 2925
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4725 6975 4635 6975
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 4725 7200 4725 2025
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4725 5175 4635 5175
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4725 5625 4635 5625
+2 1 0 2 21 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4725 6075 3375 3375
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 2520 6075 6975 6075
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4275 6165 4275 6075
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 6165 3825 6075
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3375 6165 3375 6075
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 2925 6165 2925 6075
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5175 6165 5175 6075
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5625 6165 5625 6075
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6075 6165 6075 6075
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6525 6165 6525 6075
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 1800 1575 7650 1575 7650 7425 1800 7425 1800 1575
+3 0 0 2 12 7 50 -1 -1 0.000 0 0 0 7
+	 3375 6210 3870 6210 4320 6390 4725 6075 5130 5760 5625 5940
+	 6075 5940
+	 0.000 1.000 1.000 1.000 1.000 1.000 0.000
+3 0 0 2 18 7 50 -1 -1 0.000 0 0 0 6
+	 3825 4275 4230 2880 4725 2295 5220 2880 5625 4275 6075 6525
+	 0.000 1.000 1.000 1.000 1.000 0.000
+3 0 0 2 8 7 50 -1 -1 0.000 0 0 0 9
+	 3780 5625 3825 6075 3960 6750 4095 6075 4732 662 5355 6075
+	 5535 6750 5625 6075 5670 5625
+	 0.000 1.000 1.000 1.000 1.000 1.000 1.000 1.000
+	 0.000
+4 0 8 50 -1 0 16 0.0000 2 270 660 4365 4500 $a_1$\001
+4 0 18 50 -1 0 16 0.0000 2 270 660 5535 3780 $a_3$\001
+4 0 21 50 -1 0 16 0.0000 2 270 660 3015 3780 $a_4$\001
+4 0 12 50 -1 0 16 0.0000 2 270 660 4275 6525 $a_2$\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_16.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_16.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_17.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_17.fig
@ -0,0 +1,65 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Landscape
+Center
+Metric
+A4      
+50.00
+Single
+-2
+1200 2
+1 3 0 1 0 21 40 -1 20 0.000 1 0.0000 4950 4500 50 50 4950 4500 5000 4500
+1 3 0 1 0 21 40 -1 20 0.000 1 0.0000 6210 4995 50 50 6210 4995 6260 4995
+1 3 0 1 0 21 40 -1 20 0.000 1 0.0000 6030 5625 50 50 6030 5625 6080 5625
+1 3 0 1 0 21 40 -1 20 0.000 1 0.0000 4230 5985 50 50 4230 5985 4280 5985
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 5175 3375 50 50 5175 3375 5225 3375
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4500 4050 50 50 4500 4050 4550 4050
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 2025 2025 101 101 2025 2025 2126 2025
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 8325 7425 101 101 8325 7425 8426 7425
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4500 6750 4410 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4500 5400 4410 5400
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4500 4725 4410 4725
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4500 4050 4410 4050
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4500 3375 4410 3375
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 2700 6075 7650 6075
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 6165 3150 6075
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5850 6165 5850 6075
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 7200 6165 7200 6075
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 6165 3825 6075
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5175 6165 5175 6075
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6525 6165 6525 6075
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 2025 2025 8325 2025 8325 7425 2025 7425 2025 2025
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 4500 7200 4500 2250
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4500 2700 4410 2700
+2 1 1 3 4 7 50 -1 -1 4.000 0 0 -1 0 0 2
+	 5850 6120 6525 4050
+2 1 1 3 4 7 50 -1 -1 4.000 0 0 -1 0 0 2
+	 3825 6795 5175 4050
+2 1 0 2 1 7 50 -1 -1 0.000 0 0 -1 0 0 3
+	 3825 6075 7200 5400 3825 4050
+2 1 0 2 1 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 5400 5175 3375
+2 1 1 3 4 7 45 -1 -1 4.000 0 0 -1 0 0 2
+	 4500 4050 5850 2700
+4 0 4 50 -1 0 16 0.0000 2 270 645 4725 5265 $s_1$\001
+4 0 4 50 -1 0 16 0.0000 2 270 645 6525 4500 $s_2$\001
+4 0 4 50 -1 0 16 0.0000 2 270 645 5580 3240 $s_3$\001
+4 0 1 50 -1 0 16 0.0000 2 270 645 5445 4635 $s_4$\001
+4 0 1 50 -1 0 16 0.0000 2 270 645 5400 5985 $s_5$\001
+4 0 1 50 -1 0 16 0.0000 2 270 645 3645 5130 $s_6$\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_17.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_17.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_18.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_18.fig
@ -0,0 +1,73 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Landscape
+Center
+Metric
+A4      
+50.00
+Single
+-2
+1200 2
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 7200 5400 50 50 7200 5400 7250 5400
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3150 6750 50 50 3150 6750 3200 6750
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 7200 6750 50 50 7200 6750 7250 6750
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 3825 5400 50 50 3825 5400 3875 5400
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 6525 5400 50 50 6525 5400 6575 5400
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4492 4062 50 50 4492 4062 4542 4062
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 5852 4052 50 50 5852 4052 5902 4052
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3815 3385 50 50 3815 3385 3865 3385
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 6525 3375 50 50 6525 3375 6575 3375
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3150 5395 50 50 3150 5395 3200 5395
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3825 6750 50 50 3825 6750 3875 6750
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 6525 6750 50 50 6525 6750 6575 6750
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4500 5400 50 50 4500 5400 4550 5400
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 5850 5400 50 50 5850 5400 5900 5400
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 2025 1800 90 90 2025 1800 2115 1800
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 8325 7650 90 90 8325 7650 8415 7650
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 2475 6750 7650 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4500 6840 4500 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5850 6840 5850 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6525 6840 6525 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 6075 3060 6075
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4725 3060 4725
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 7200 6840 7200 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 6840 3825 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3145 6080 3055 6080
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3145 6755 3055 6755
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4050 3060 4050
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 3375 3060 3375
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 2025 1800 8325 1800 8325 7650 2025 7650 2025 1800
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 2700 3060 2700
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 5400 3060 5400
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5175 6840 5175 6750
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 3150 6750 4500 4050 5175 4770 5850 4050 7200 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 3150 7200 3150 2250
+2 1 1 3 17 7 50 -1 -1 5.000 0 0 -1 0 0 3
+	 3825 3375 5175 4770 6525 3375
+2 1 3 2 4 7 50 -1 -1 3.000 0 0 -1 0 0 2
+	 3150 5400 7245 5400
+2 1 2 3 0 7 50 -1 -1 2.000 0 0 -1 0 0 4
+	 3825 6750 4500 5400 5850 5400 6525 6750
+4 0 1 50 -1 0 16 0.0000 2 240 495 6300 4770 $A$\001
+4 0 4 50 -1 0 16 0.0000 2 240 465 6750 5310 $D$\001
+4 0 15 50 -1 0 16 0.0000 2 240 450 6435 3735 $B$\001
+4 0 0 50 -1 0 16 0.0000 2 240 450 6255 6120 $C$\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_18.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_18.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_19.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_19.fig
@ -0,0 +1,42 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Landscape
+Center
+Metric
+A4      
+50.00
+Single
+-2
+1200 2
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4725 3375 50 50 4725 3375 4775 3375
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 2925 5175 50 50 2925 5175 2975 5175
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 6525 5175 50 50 6525 5175 6575 5175
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4725 6975 50 50 4725 6975 4775 6975
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4725 5175 50 50 4725 5175 4775 5175
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 2025 2475 90 90 2025 2475 2115 2475
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 7425 7425 90 90 7425 7425 7515 7425
+2 1 0 3 8 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 4725 3375 6525 5175 4725 6975 2925 5175 4725 3375
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 2475 5175 6975 5175
+2 1 0 3 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 2925 5175 6525 5175
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 4725 7200 4725 2925
+2 1 0 3 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4725 3375 4725 5175
+2 1 2 3 8 7 50 -1 -1 3.000 0 0 -1 0 0 2
+	 4725 6975 4725 5175
+2 1 1 1 0 7 50 -1 -1 4.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 4815 6795 4815 5265
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 2025 2475 7425 2475 7425 7425 2025 7425 2025 2475
+4 0 0 50 -1 0 18 0.0000 2 270 660 4905 5850 $e_v$\001
+4 0 1 50 -1 0 16 0.0000 2 270 645 3510 4140 $s_1$\001
+4 0 1 50 -1 0 16 0.0000 2 270 645 5535 4095 $s_2$\001
+4 0 1 50 -1 0 16 0.0000 2 270 645 3555 6390 $s_3$\001
+4 0 1 50 -1 0 16 0.0000 2 270 645 5580 6390 $s_4$\001
+4 0 1 50 -1 0 16 0.0000 2 270 645 4815 4635 $s_v$\001
+4 0 1 50 -1 0 16 0.0000 2 270 660 3780 5400 $s_h$\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_19.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_19.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_2.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_2.fig
@ -0,0 +1,75 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Landscape
+Center
+Metric
+A4      
+50.00
+Single
+-2
+1200 2
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5175 6075 50 50 5175 6075 5225 6075
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3825 4725 50 50 3825 4725 3875 4725
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5175 3375 50 50 5175 3375 5225 3375
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 6525 4725 50 50 6525 4725 6575 4725
+1 3 2 1 0 11 40 -1 30 3.000 1 0.0000 3825 3150 50 50 3825 3150 3875 3150
+1 3 0 1 0 11 40 -1 20 0.000 1 0.0000 5175 4725 50 50 5175 4725 5225 4725
+1 3 2 1 0 11 40 -1 30 3.000 1 0.0000 6525 3150 50 50 6525 3150 6575 3150
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 2025 2250 101 101 2025 2250 2126 2250
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 8325 7650 101 101 8325 7650 8426 7650
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 3150 7200 3150 2700
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 2475 6750 7200 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3870 6840 3870 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4500 6840 4500 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5175 6840 5175 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5850 6840 5850 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6525 6840 6525 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 6075 3060 6075
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 5400 3060 5400
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4725 3060 4725
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4050 3060 4050
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 3375 3060 3375
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 5175 6075 3825 4725 5175 3375 6525 4725 5175 6075
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 3829 4592 5082 3328
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5081 6121 3828 4857
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 6541 4837 5288 6101
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5317 3371 6570 4635
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 2025 2250 8325 2250 8325 7650 2025 7650 2025 2250
+4 0 0 50 -1 0 18 0.0000 2 270 660 4095 3915 $e_1$\001
+4 0 0 50 -1 0 18 0.0000 2 270 660 5940 3915 $e_2$\001
+4 0 0 50 -1 0 18 0.0000 2 270 660 5940 5715 $e_3$\001
+4 0 0 50 -1 0 18 0.0000 2 270 660 4185 5715 $e_4$\001
+4 0 0 50 -1 0 18 0.0000 2 270 675 6660 4815 $v_3$\001
+4 0 0 50 -1 0 18 0.0000 2 270 675 5130 3240 $v_2$\001
+4 0 0 50 -1 0 18 0.0000 2 270 675 5130 6390 $v_4$\001
+4 0 1 50 -1 0 16 0.0000 2 270 645 4545 4230 $s_1$\001
+4 0 1 50 -1 0 16 0.0000 2 270 645 5400 5490 $s_3$\001
+4 0 1 50 -1 0 16 0.0000 2 270 645 4680 5490 $s_4$\001
+4 0 0 50 -1 0 18 0.0000 2 270 675 3420 4815 $v_1$\001
+4 0 1 50 -1 0 16 0.0000 2 270 645 5625 4230 $s_2$\001
+4 0 0 50 -1 0 18 0.0000 2 270 690 5265 4815 $u_1$\001
+4 0 0 50 -1 0 18 0.0000 2 270 690 3960 3240 $u_2$\001
+4 0 0 50 -1 0 18 0.0000 2 270 690 6660 3240 $u_3$\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_2.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_2.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_20.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_20.fig
@ -0,0 +1,95 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Landscape
+Center
+Metric
+A4      
+50.00
+Single
+-2
+1200 2
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 7290 4995 50 50 7290 4995 7340 4995
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5490 2070 50 50 5490 2070 5540 2070
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5490 6165 50 50 5490 6165 5540 6165
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 7290 3240 50 50 7290 3240 7340 3240
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3735 4995 50 50 3735 4995 3785 4995
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3735 3240 50 50 3735 3240 3785 3240
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 6210 3240 50 50 6210 3240 6260 3240
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 6210 4995 50 50 6210 4995 6260 4995
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4264 4130 50 50 4264 4130 4314 4130
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 6751 4124 50 50 6751 4124 6801 4124
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4804 3237 50 50 4804 3237 4854 3237
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4798 4997 50 50 4798 4997 4848 4997
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 2025 1575 90 90 2025 1575 2115 1575
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 8325 7650 90 90 8325 7650 8415 7650
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 3150 7200 3150 1845
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3735 6840 3735 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4320 6840 4320 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 2475 6750 7650 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4905 6840 4905 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5490 6840 5490 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 7290 6840 7290 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 6165 3060 6165
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 5580 3060 5580
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4995 3060 4995
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4410 3060 4410
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 3825 3060 3825
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 3240 3060 3240
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 2655 3060 2655
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6660 6840 6660 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6660 6840 6660 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6075 6840 6075 6750
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 2025 1575 8325 1575 8325 7650 2025 7650 2025 1575
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 2070 3060 2070
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 2.00 120.00 240.00
+	 5490 6165 7290 3240
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 2.00 120.00 240.00
+	 3735 3240 7290 3240
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 1 2
+	0 0 2.00 120.00 240.00
+	 3740 3237 5490 6165
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 2.00 120.00 240.00
+	 3735 4995 7290 4995
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 2.00 120.00 240.00
+	 3743 5000 5490 2070
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 2.00 120.00 240.00
+	 5490 2070 7290 4995
+4 0 1 50 -1 0 16 0.0000 2 270 645 6585 3135 $s_2$\001
+4 0 1 50 -1 0 16 0.0000 2 270 645 6630 5280 $s_4$\001
+4 0 1 50 -1 0 16 0.0000 2 270 645 7095 3900 $s_1$\001
+4 0 1 50 -1 0 16 0.0000 2 270 645 3600 3810 $s_3$\001
+4 0 1 50 -1 0 16 0.0000 2 270 645 4785 2505 $s_5$\001
+4 0 1 50 -1 0 16 0.0000 2 270 645 7080 4500 $s_6$\001
+4 0 0 50 -1 2 16 0.0000 0 240 315 5370 5595 [2]\001
+4 0 0 50 -1 2 16 0.0000 0 240 315 5355 4245 [1]\001
+4 0 0 50 -1 2 16 0.0000 0 240 315 4140 4770 [3]\001
+4 0 0 50 -1 2 16 0.0000 0 240 315 4110 3660 [4]\001
+4 0 0 50 -1 2 16 0.0000 0 240 315 5355 2790 [5]\001
+4 0 0 50 -1 2 16 0.0000 0 240 315 6600 3630 [6]\001
+4 0 0 50 -1 2 16 0.0000 0 240 315 6615 4770 [7]\001
+4 0 0 50 -1 2 16 0.0000 0 240 315 3615 6255 [0]\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_20.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_20.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_22.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_22.fig
@ -0,0 +1,75 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Landscape
+Center
+Metric
+A4      
+50.00
+Single
+-2
+1200 2
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3600 4950 50 50 3600 4950 3650 4950
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4950 3600 50 50 4950 3600 5000 3600
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4950 6300 50 50 4950 6300 5000 6300
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 6300 4950 50 50 6300 4950 6350 4950
+1 3 0 1 0 10 40 -1 20 0.000 1 0.0000 5850 4050 50 50 5850 4050 5900 4050
+1 3 0 1 0 10 40 -1 20 0.000 1 0.0000 4050 4050 50 50 4050 4050 4100 4050
+1 3 0 1 0 10 40 -1 20 0.000 1 0.0000 4050 5850 50 50 4050 5850 4100 5850
+1 3 0 1 0 10 40 -1 20 0.000 1 0.0000 5850 5850 50 50 5850 5850 5900 5850
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4500 4050 50 50 4500 4050 4550 4050
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 5850 4500 50 50 5850 4500 5900 4500
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 5850 5400 50 50 5850 5400 5900 5400
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 5395 5850 50 50 5395 5850 5445 5850
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4500 5850 50 50 4500 5850 4550 5850
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4050 5400 50 50 4050 5400 4100 5400
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 5394 4045 50 50 5394 4045 5444 4045
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4050 4500 50 50 4050 4500 4100 4500
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 2025 2700 90 90 2025 2700 2115 2700
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 7425 7650 90 90 7425 7650 7515 7650
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 3150 7200 3150 3150
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 2475 6750 6750 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5850 6840 5850 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 5400 3060 5400
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4050 3060 4050
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3600 6840 3600 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4500 6840 4500 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4095 6840 4095 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4950 6840 4950 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5400 6840 5400 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6300 6840 6300 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 6300 3060 6300
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 5850 3060 5850
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4950 3060 4950
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4500 3060 4500
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 3600 3060 3600
+2 1 0 2 19 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 4950 6300 3600 4950 4950 3600 6300 4950 4950 6300
+2 2 0 1 16 7 60 -1 44 0.000 0 0 -1 0 0 5
+	 4050 4050 5850 4050 5850 5850 4050 5850 4050 4050
+2 3 0 1 16 7 60 -1 45 0.000 0 0 -1 0 0 5
+	 3600 4950 4950 3600 6300 4950 4950 6300 3600 4950
+2 3 0 0 16 7 55 -1 46 0.000 0 0 -1 0 0 9
+	 4050 5400 4050 4545 4500 4050 5400 4050 5850 4500 5850 5400
+	 5400 5850 4500 5850 4050 5400
+2 2 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 4050 4050 5850 4050 5850 5850 4050 5850 4050 4050
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 2025 2700 7425 2700 7425 7650 2025 7650 2025 2700
+4 0 0 40 -1 0 20 0.0000 2 315 705 4815 4995 $f_0$\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_22.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_22.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_24.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_24.fig
@ -0,0 +1,82 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Landscape
+Center
+Metric
+A4      
+50.00
+Single
+-2
+1200 2
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3150 6750 50 50 3150 6750 3200 6750
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4500 6300 50 50 4500 6300 4550 6300
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4050 4050 50 50 4050 4050 4100 4050
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4500 4500 50 50 4500 4500 4550 4500
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4500 4950 50 50 4500 4950 4550 4950
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5850 4950 50 50 5850 4950 5900 4950
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5400 5400 50 50 5400 5400 5450 5400
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 6300 6300 50 50 6300 6300 6350 6300
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4950 5400 50 50 4950 5400 5000 5400
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4050 5400 50 50 4050 5400 4100 5400
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3150 5400 50 50 3150 5400 3200 5400
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4495 5400 50 50 4495 5400 4545 5400
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4945 4950 50 50 4945 4950 4995 4950
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 3595 5400 50 50 3595 5400 3645 5400
+1 3 0 1 0 11 40 -1 20 0.000 1 0.0000 5850 5850 50 50 5850 5850 5900 5850
+1 3 0 1 0 11 40 -1 20 0.000 1 0.0000 4050 4950 50 50 4050 4950 4100 4950
+1 3 0 1 0 11 40 -1 20 0.000 1 0.0000 4950 4050 50 50 4950 4050 5000 4050
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 2025 2700 101 101 2025 2700 2126 2700
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 7425 7650 101 101 7425 7650 7526 7650
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 3150 7200 3150 3150
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 2475 6750 6750 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5850 6840 5850 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 5400 3060 5400
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4050 3060 4050
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3600 6840 3600 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4500 6840 4500 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4950 6840 4950 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5400 6840 5400 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6300 6840 6300 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 6300 3060 6300
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 5850 3060 5850
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4950 3060 4950
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4500 3060 4500
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 3600 3060 3600
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 2025 2700 7425 2700 7425 7650 2025 7650 2025 2700
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4500 6300 4500 4500
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4050 6840 4050 6750
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4095 5400 5445 5400
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4500 4950 5895 4950
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4050 4050 6300 6300
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 6750 4050 4050
+2 1 1 2 4 7 45 -1 -1 4.500 0 0 -1 0 0 2
+	 3150 5400 4950 5400
+4 0 4 50 -1 0 16 0.0000 2 270 645 3240 5310 $s_1$\001
+4 0 1 50 -1 0 16 0.0000 2 270 645 5130 5670 $s_3$\001
+4 0 1 50 -1 0 16 0.0000 2 270 645 4545 6120 $s_2$\001
+4 0 0 50 -1 0 16 0.0000 2 270 675 5085 4140 $p_1$\001
+4 0 0 50 -1 0 16 0.0000 2 270 675 5940 5895 $p_2$\001
+4 0 0 50 -1 0 16 0.0000 2 270 675 3960 4815 $p_3$\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_24.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_24.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_25.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_25.fig
@ -0,0 +1,73 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Landscape
+Center
+Metric
+A4      
+50.00
+Single
+-2
+1200 2
+1 3 1 2 4 7 50 -1 -1 6.000 1 0.0000 4725 5175 897 897 4725 5175 5622 5175
+1 3 0 2 8 7 50 -1 -1 0.000 1 0.0000 5400 4500 450 450 5400 4500 5850 4500
+1 3 0 2 8 7 50 -1 -1 0.000 1 0.0000 5850 5175 450 450 5850 5175 6300 5175
+1 3 0 2 8 7 50 -1 -1 0.000 1 0.0000 5400 5850 450 450 5400 5850 5850 5850
+1 3 0 2 8 7 50 -1 -1 0.000 1 0.0000 4725 6300 450 450 4725 6300 5175 6300
+1 3 0 2 8 7 50 -1 -1 0.000 1 0.0000 4050 5850 450 450 4050 5850 4500 5850
+1 3 0 2 8 7 50 -1 -1 0.000 1 0.0000 3600 5175 450 450 3600 5175 4050 5175
+1 3 0 2 8 7 50 -1 -1 0.000 1 0.0000 4050 4500 450 450 4050 4500 4500 4500
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5625 5175 50 50 5625 5175 5675 5175
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3820 5175 50 50 3820 5175 3870 5175
+1 3 0 2 8 7 50 -1 -1 0.000 1 0.0000 4725 4050 450 450 4725 4050 5175 4050
+1 3 0 1 0 11 40 -1 20 0.000 1 0.0000 4720 3600 50 50 4720 3600 4770 3600
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 2025 2700 90 90 2025 2700 2115 2700
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 7425 7650 90 90 7425 7650 7515 7650
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 3150 7200 3150 3150
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 2475 6750 6750 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5850 6840 5850 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 5400 3060 5400
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4050 3060 4050
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3600 6840 3600 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4500 6840 4500 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4950 6840 4950 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5400 6840 5400 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6300 6840 6300 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 6300 3060 6300
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 5850 3060 5850
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4950 3060 4950
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4500 3060 4500
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 3600 3060 3600
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 2025 2700 7425 2700 7425 7650 2025 7650 2025 2700
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4050 6840 4050 6750
+3 0 0 1 4 7 50 -1 -1 0.000 0 1 0 3
+	0 0 1.00 60.00 120.00
+	 4770 4995 4860 4770 5265 4545
+	 0.000 1.000 0.000
+4 0 4 50 -1 0 16 0.0000 2 270 720 4635 5265 $C_0$\001
+4 0 1 50 -1 0 16 0.0000 2 270 720 5895 4365 $C_2$\001
+4 0 1 50 -1 0 16 0.0000 2 270 720 6345 5220 $C_3$\001
+4 0 1 50 -1 0 16 0.0000 2 270 720 5175 3825 $C_1$\001
+4 0 1 50 -1 0 16 0.0000 2 270 720 5895 6165 $C_4$\001
+4 0 1 50 -1 0 16 0.0000 2 270 720 5220 6660 $C_5$\001
+4 0 1 50 -1 0 16 0.0000 2 270 720 3555 6435 $C_6$\001
+4 0 1 50 -1 0 16 0.0000 2 270 720 2745 5265 $C_7$\001
+4 0 1 50 -1 0 16 0.0000 2 270 720 3465 4095 $C_8$\001
+4 0 0 50 -1 0 16 0.0000 2 270 405 4635 3465 $q$\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_25.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_25.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_3a.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_3a.fig
@ -0,0 +1,60 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Landscape
+Center
+Metric
+A4      
+50.00
+Single
+-2
+1200 2
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3600 6075 50 50 3600 6075 3650 6075
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5850 6750 50 50 5850 6750 5900 6750
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5850 3375 50 50 5850 3375 5900 3375
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 2475 2250 101 101 2475 2250 2576 2250
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 6750 7650 101 101 6750 7650 6851 7650
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 3150 7200 3150 2700
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3870 6840 3870 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4500 6840 4500 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5175 6840 5175 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5850 6840 5850 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 6075 3060 6075
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 5400 3060 5400
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4725 3060 4725
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4050 3060 4050
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 3375 3060 3375
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 3600 5940 5805 3240
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 2700 6750 6300 6750
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 2475 2250 6750 2250 6750 7650 2475 7650 2475 2250
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 4
+	 3600 6075 5850 3375 5850 6750 3600 6075
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5938 3370 5944 6705
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5625 6795 3645 6210
+4 0 1 50 -1 0 16 0.0000 2 270 645 5445 5670 $s_2$\001
+4 0 1 50 -1 0 16 0.0000 2 270 645 4455 5265 $s_1$\001
+4 0 1 50 -1 0 16 0.0000 2 270 645 4590 6300 $s_3$\001
+4 0 0 50 -1 0 18 0.0000 2 270 675 5850 3240 $v_2$\001
+4 0 0 50 -1 0 18 0.0000 2 270 675 5760 7065 $v_3$\001
+4 0 0 50 -1 0 18 0.0000 2 270 660 5985 4950 $e_2$\001
+4 0 0 50 -1 0 18 0.0000 2 270 660 4365 4500 $e_1$\001
+4 0 0 50 -1 0 18 0.0000 2 270 660 4095 6615 $e_3$\001
+4 0 0 50 -1 0 18 0.0000 2 270 675 3240 6210 $v_1$\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_3a.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_3a.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_3b.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_3b.fig
@ -0,0 +1,82 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Landscape
+Center
+Metric
+A4      
+50.00
+Single
+-2
+1200 2
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3600 6075 50 50 3600 6075 3650 6075
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5850 6750 50 50 5850 6750 5900 6750
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5850 3375 50 50 5850 3375 5900 3375
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5850 6075 50 50 5850 6075 5900 6075
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5175 5850 50 50 5175 5850 5225 5850
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4500 5625 50 50 4500 5625 4550 5625
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5850 4275 50 50 5850 4275 5900 4275
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5175 4950 50 50 5175 4950 5225 4950
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 2475 2250 101 101 2475 2250 2576 2250
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 6750 7650 101 101 6750 7650 6851 7650
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 3150 7200 3150 2700
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3870 6840 3870 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4500 6840 4500 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5175 6840 5175 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5850 6840 5850 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 6075 3060 6075
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 5400 3060 5400
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4725 3060 4725
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4050 3060 4050
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 3375 3060 3375
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 2700 6750 6300 6750
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 2475 2250 6750 2250 6750 7650 2475 7650 2475 2250
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 4
+	 3600 6075 5850 3375 5850 6750 3600 6075
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5979 3370 5985 4230
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5983 4360 5985 6075
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 3
+	 5850 4275 4500 5625 5850 6075
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5175 5895 5175 4950
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5760 6165 5220 5985
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5745 4218 5130 4860
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5985 6255 5987 6705
+4 0 0 50 -1 0 18 0.0000 2 270 675 5850 3240 $v_2$\001
+4 0 0 50 -1 0 18 0.0000 2 270 675 5760 7065 $v_3$\001
+4 0 0 50 -1 0 18 0.0000 2 270 660 6030 3870 $e_4$\001
+4 0 0 50 -1 0 18 0.0000 2 270 660 6030 5355 $e_5$\001
+4 0 0 50 -1 0 18 0.0000 2 270 750 6030 4365 $w_1$\001
+4 0 0 50 -1 0 18 0.0000 2 270 675 5265 5130 $v_4$\001
+4 0 0 50 -1 0 18 0.0000 2 270 675 5265 5805 $v_5$\001
+4 0 0 50 -1 0 18 0.0000 2 270 750 6030 6210 $w_2$\001
+4 0 0 50 -1 0 18 0.0000 2 270 660 6075 6570 $e_6$\001
+4 0 0 50 -1 0 18 0.0000 2 270 660 5220 4455 $e_7$\001
+4 0 0 50 -1 0 18 0.0000 2 270 660 5310 6300 $e_8$\001
+4 0 0 50 -1 0 18 0.0000 2 270 675 4140 5805 $v_6$\001
+4 0 0 50 -1 0 18 0.0000 2 270 675 3240 6210 $v_1$\001
+4 0 1 50 -1 0 16 0.0000 2 270 1050 4680 5985 $s_{10}$\001
+4 0 1 50 -1 0 16 0.0000 2 270 645 4590 5220 $s_9$\001
+4 0 1 50 -1 0 16 0.0000 2 270 1050 5220 5535 $s_{11}$\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_3b.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_3b.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_3c.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_3c.fig
@ -0,0 +1,53 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Landscape
+Center
+Metric
+A4      
+50.00
+Single
+-2
+1200 2
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3600 6075 50 50 3600 6075 3650 6075
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5850 6750 50 50 5850 6750 5900 6750
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5850 3375 50 50 5850 3375 5900 3375
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5175 5850 50 50 5175 5850 5225 5850
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4500 5625 50 50 4500 5625 4550 5625
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5175 4950 50 50 5175 4950 5225 4950
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 2475 2250 101 101 2475 2250 2576 2250
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 6750 7650 101 101 6750 7650 6851 7650
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 3150 7200 3150 2700
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3870 6840 3870 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4500 6840 4500 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5175 6840 5175 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5850 6840 5850 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 6075 3060 6075
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 5400 3060 5400
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4725 3060 4725
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4050 3060 4050
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 3375 3060 3375
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 2700 6750 6300 6750
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 2475 2250 6750 2250 6750 7650 2475 7650 2475 2250
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 4
+	 3600 6075 5850 3375 5850 6750 3600 6075
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 4
+	 5175 5895 5175 4950 4500 5625 5175 5850
+4 0 0 50 -1 0 18 0.0000 2 270 675 5850 3240 $v_2$\001
+4 0 0 50 -1 0 18 0.0000 2 270 675 5760 7065 $v_3$\001
+4 0 0 50 -1 0 18 0.0000 2 270 675 5265 5130 $v_4$\001
+4 0 0 50 -1 0 18 0.0000 2 270 675 5265 5805 $v_5$\001
+4 0 0 50 -1 0 18 0.0000 2 270 675 3240 6210 $v_1$\001
+4 0 0 50 -1 0 18 0.0000 2 270 675 4140 5805 $v_6$\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_3c.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_3c.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_4.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_4.fig
@ -0,0 +1,87 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Landscape
+Center
+Metric
+A4      
+50.00
+Single
+-2
+1200 2
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5175 6075 50 50 5175 6075 5225 6075
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3825 4725 50 50 3825 4725 3875 4725
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5175 3375 50 50 5175 3375 5225 3375
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 6525 4725 50 50 6525 4725 6575 4725
+1 3 0 1 0 11 40 -1 20 0.000 1 0.0000 5175 4725 50 50 5175 4725 5225 4725
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 2025 2250 101 101 2025 2250 2126 2250
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 8325 7650 101 101 8325 7650 8426 7650
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 3150 7200 3150 2700
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 2475 6750 7200 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3870 6840 3870 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4500 6840 4500 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5175 6840 5175 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5850 6840 5850 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 6075 3060 6075
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 5400 3060 5400
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4725 3060 4725
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4050 3060 4050
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 3375 3060 3375
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 5175 6075 3825 4725 5175 3375 6525 4725 5175 6075
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 4725 6525 4725
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 3829 4592 5082 3328
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5081 6121 3828 4857
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 6541 4837 5288 6101
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5317 3371 6570 4635
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 4005 4635 5130 4635
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 2025 2250 8325 2250 8325 7650 2025 7650 2025 2250
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5265 4635 6390 4635
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5175 6075 5175 3375
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5085 4635 5085 3510
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5085 5940 5085 4815
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6525 6840 6525 6750
+4 0 0 50 -1 0 18 0.0000 2 270 660 4095 3915 $e_1$\001
+4 0 0 50 -1 0 18 0.0000 2 270 660 5940 3915 $e_2$\001
+4 0 0 50 -1 0 18 0.0000 2 270 660 5940 5715 $e_3$\001
+4 0 0 50 -1 0 18 0.0000 2 270 660 4185 5715 $e_4$\001
+4 0 0 50 -1 0 18 0.0000 2 270 660 5535 4545 $e_6$\001
+4 0 0 50 -1 0 18 0.0000 2 270 660 4320 4545 $e_5$\001
+4 0 0 50 -1 0 18 0.0000 2 270 660 4770 4185 $e_8$\001
+4 0 0 50 -1 0 18 0.0000 2 270 660 4770 5310 $e_7$\001
+4 0 1 50 -1 0 16 0.0000 2 270 675 5265 4950 $p_0$\001
+4 0 1 50 -1 0 16 0.0000 2 270 675 3465 4815 $p_1$\001
+4 0 1 50 -1 0 16 0.0000 2 270 675 5085 3240 $p_2$\001
+4 0 1 50 -1 0 16 0.0000 2 270 675 6660 4815 $p_3$\001
+4 0 1 50 -1 0 16 0.0000 2 270 675 5085 6345 $p_4$\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_4.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_4.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_5.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_5.fig
@ -0,0 +1,103 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Landscape
+Center
+Metric
+A4      
+50.00
+Single
+-2
+1200 2
+6 3690 3915 3960 4185
+2 1 0 2 21 7 30 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 3960 3825 4140
+2 1 0 2 21 7 30 -1 -1 0.000 0 0 -1 0 0 2
+	 3735 4050 3915 4050
+-6
+6 3690 6615 3960 6885
+2 1 0 2 21 7 30 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 6660 3825 6840
+2 1 0 2 21 7 30 -1 -1 0.000 0 0 -1 0 0 2
+	 3735 6750 3915 6750
+-6
+6 5040 5265 5310 5535
+2 1 0 2 21 7 30 -1 -1 0.000 0 0 -1 0 0 2
+	 5175 5310 5175 5490
+2 1 0 2 21 7 30 -1 -1 0.000 0 0 -1 0 0 2
+	 5085 5400 5265 5400
+-6
+6 6390 5265 6660 5535
+2 1 0 2 21 7 30 -1 -1 0.000 0 0 -1 0 0 2
+	 6525 5310 6525 5490
+2 1 0 2 21 7 30 -1 -1 0.000 0 0 -1 0 0 2
+	 6435 5400 6615 5400
+-6
+6 5715 4590 5985 4860
+2 1 0 2 21 7 30 -1 -1 0.000 0 0 -1 0 0 2
+	 5850 4635 5850 4815
+2 1 0 2 21 7 30 -1 -1 0.000 0 0 -1 0 0 2
+	 5760 4725 5940 4725
+-6
+6 7065 4590 7335 4860
+2 1 0 2 21 7 30 -1 -1 0.000 0 0 -1 0 0 2
+	 7200 4635 7200 4815
+2 1 0 2 21 7 30 -1 -1 0.000 0 0 -1 0 0 2
+	 7110 4725 7290 4725
+-6
+1 3 0 1 0 29 40 -1 20 0.000 1 0.0000 3150 4725 50 50 3150 4725 3200 4725
+1 3 0 1 0 29 40 -1 20 0.000 1 0.0000 4500 3375 50 50 4500 3375 4550 3375
+1 3 0 1 0 29 40 -1 20 0.000 1 0.0000 5850 3375 50 50 5850 3375 5900 3375
+1 3 0 1 0 29 40 -1 20 0.000 1 0.0000 7200 4725 50 50 7200 4725 7250 4725
+1 3 0 1 0 29 40 -1 20 0.000 1 0.0000 5175 5400 50 50 5175 5400 5225 5400
+1 3 0 1 0 29 40 -1 20 0.000 1 0.0000 5175 6750 50 50 5175 6750 5225 6750
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 2025 2250 101 101 2025 2250 2126 2250
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 8325 7650 101 101 8325 7650 8426 7650
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 2475 6750 7875 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4500 6840 4500 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5175 6840 5175 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5850 6840 5850 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 6075 3060 6075
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 5400 3060 5400
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4725 3060 4725
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4050 3060 4050
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 3375 3060 3375
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 2025 2250 8325 2250 8325 7650 2025 7650 2025 2250
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6525 6840 6525 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 7200 6840 7200 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 6840 3825 6750
+2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 1 0 2
+	0 0 1.00 60.00 120.00
+	 3825 6615 3825 5400
+2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 1 0 2
+	0 0 1.00 60.00 120.00
+	 5175 5265 5175 3375
+2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 1 0 2
+	0 0 1.00 60.00 120.00
+	 5850 4590 5850 3465
+2 1 2 1 0 7 50 -1 -1 3.000 0 0 -1 1 0 2
+	0 0 1.00 60.00 120.00
+	 6525 5265 6525 4095
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 3150 7200 3150 2700
+2 1 0 3 17 7 50 -1 -1 0.000 0 0 -1 0 0 6
+	 5175 6750 3150 4725 4500 3375 5850 3375 7200 4725 5175 6750
+4 0 1 50 -1 0 16 0.0000 2 270 675 3960 4140 $q_1$\001
+4 0 1 50 -1 0 16 0.0000 2 270 675 5985 4815 $q_2$\001
+4 0 1 50 -1 0 16 0.0000 2 270 675 7335 4815 $q_3$\001
+4 0 1 50 -1 0 16 0.0000 2 270 675 5310 5490 $q_4$\001
+4 0 1 50 -1 0 16 0.0000 2 270 675 6660 5535 $q_5$\001
+4 0 1 50 -1 0 16 0.0000 2 270 675 3870 7020 $q_6$\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_5.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_5.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_8.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_8.fig
@ -0,0 +1,78 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Landscape
+Center
+Metric
+A4      
+50.00
+Single
+-2
+1200 2
+6 5715 5895 5985 6165
+2 1 0 2 21 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5850 6120 5850 5940
+2 1 0 2 21 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5760 6030 5940 6030
+-6
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 6520 6750 50 50 6520 6750 6570 6750
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 6525 3375 50 50 6525 3375 6575 3375
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3825 6750 50 50 3825 6750 3875 6750
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4500 4050 50 50 4500 4050 4550 4050
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 6525 4725 50 50 6525 4725 6575 4725
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 7200 6750 50 50 7200 6750 7250 6750
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3150 5400 50 50 3150 5400 3200 5400
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5175 6750 50 50 5175 6750 5225 6750
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4082 5712 50 50 4082 5712 4132 5712
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 5412 6162 50 50 5412 6162 5462 6162
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4862 5972 50 50 4862 5972 4912 5972
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 5742 5302 50 50 5742 5302 5792 5302
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 6520 6525 50 50 6520 6525 6570 6525
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 2025 2250 90 90 2025 2250 2115 2250
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 8325 7650 90 90 8325 7650 8415 7650
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 3150 7200 3150 2700
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 2475 6750 7650 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4500 6840 4500 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5175 6840 5175 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5850 6840 5850 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6525 6840 6525 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 6075 3060 6075
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 5400 3060 5400
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4725 3060 4725
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4050 3060 4050
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 3375 3060 3375
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 2025 2250 8325 2250 8325 7650 2025 7650 2025 2250
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 7200 6840 7200 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 6840 3825 6750
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6525 6750 6525 3375
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 6795 4500 4050
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3825 6750 6518 4723
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 7200 6750 3150 5400
+2 3 0 0 0 29 60 -1 20 0.000 0 0 -1 0 0 6
+	 5402 6162 5752 5302 6522 4732 6522 6522 5432 6162 5402 6162
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5175 6750 6525 3375
+4 0 1 50 -1 0 16 0.0000 2 270 645 3915 4995 $s_1$\001
+4 0 1 50 -1 0 16 0.0000 2 270 645 6615 5400 $s_2$\001
+4 0 1 50 -1 0 16 0.0000 2 270 645 4455 6480 $s_3$\001
+4 0 1 50 -1 0 16 0.0000 2 270 645 3375 5760 $s_4$\001
+4 0 1 50 -1 0 16 0.0000 2 270 645 5700 4510 $s_5$\001
+4 0 21 50 -1 0 16 0.0000 2 270 405 5985 6120 $q$\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_8.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_8.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_bgl.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_bgl.fig
@ -0,0 +1,84 @@
+#FIG 3.2
+Landscape
+Center
+Metric
+A4      
+50.00
+Single
+-2
+1200 2
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 2025 2250 101 101 2025 2250 2126 2250
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 8325 7650 101 101 8325 7650 8426 7650
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3600 4500 50 50 3600 4500 3650 4500
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3600 5850 50 50 3600 5850 3650 5850
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 6300 5850 50 50 6300 5850 6350 5850
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 7200 4950 50 50 7200 4950 7250 4950
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4950 4500 50 50 4950 4500 5000 4500
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4050 5400 50 50 4050 5400 4100 5400
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4500 4950 50 50 4500 4950 4550 4950
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 5102 5262 50 50 5102 5262 5152 5262
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4500 3150 50 50 4500 3150 4550 3150
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 3982 4712 50 50 3982 4712 4032 4712
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 5400 3060 5400
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4950 3060 4950
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4500 3060 4500
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4050 3060 4050
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 3600 3060 3600
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 3150 3060 3150
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 6750 3060 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3600 6390 3600 6300
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 2700 6390 2700 6300
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4050 6390 4050 6300
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4500 6390 4500 6300
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4950 6390 4950 6300
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5400 6390 5400 6300
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5850 6390 5850 6300
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6300 6390 6300 6300
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6750 6390 6750 6300
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 2475 6300 7650 6300
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 7200 6390 7200 6300
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 3150 7200 3150 2700
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 5850 3060 5850
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3600 5850 4500 3150
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3591 4518 6300 5850
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 2025 2250 8325 2250 8325 7650 2025 7650 2025 2250
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4041 5418 7200 4950
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4042 5408 4950 4500
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 3
+	 4500 3150 7200 4950 6300 5850
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3600 5850 6300 5850
+4 0 0 50 -1 2 16 0.0000 0 210 300 4410 5265 [4]\001
+4 0 0 50 -1 2 16 0.0000 0 210 300 6750 3510 [0]\001
+4 0 0 50 -1 0 16 0.0000 2 210 570 6075 3510 $f_0$\001
+4 0 0 50 -1 0 18 0.0000 2 270 675 3645 6075 $v_0$\001
+4 0 0 50 -1 2 16 0.0000 0 210 300 5400 4455 [3]\001
+4 0 0 50 -1 2 16 0.0000 0 210 300 6075 5445 [1]\001
+4 0 0 50 -1 2 16 0.0000 0 210 300 4590 5715 [2]\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_bgl.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_bgl.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_unb1.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_unb1.fig
@ -0,0 +1,30 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Landscape
+Center
+Metric
+A4      
+59.00
+Single
+-2
+1200 2
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5175 4500 50 50 5175 4500 5225 4500
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5175 4950 50 50 5175 4950 5225 4950
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 2835 2160 7515 2160 7515 6165 2835 6165 2835 2160
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5175 4950 7425 6075
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5175 4950 2925 6075
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 3
+	 2925 2250 5175 4500 7425 2250
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5175 4500 5175 2250
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 2925 4500 7425 4500
+4 0 1 50 -1 0 18 0.0000 2 270 660 3150 4770 $c_1$\001
+4 0 1 50 -1 0 18 0.0000 2 270 660 3600 2835 $c_2$\001
+4 0 1 50 -1 0 18 0.0000 2 270 660 6210 5400 $c_5$\001
+4 0 1 50 -1 0 18 0.0000 2 270 660 5265 2835 $c_6$\001
+4 0 1 50 -1 0 18 0.0000 2 270 660 4095 5715 $c_4$\001
+4 0 1 50 -1 0 18 0.0000 2 270 660 6660 3240 $c_3$\001
+4 0 0 50 -1 0 16 0.0000 2 240 405 5220 4725 $v$\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_unb1.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_unb1.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_unb_rat.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_unb_rat.fig
@ -0,0 +1,94 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Landscape
+Center
+Metric
+A4      
+45.00
+Single
+-2
+1200 2
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 1800 1575 101 101 1800 1575 1901 1575
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 7650 7875 101 101 7650 7875 7751 7875
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4140 4725 50 50 4140 4725 4190 4725
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5310 4725 50 50 5310 4725 5360 4725
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4410 6030 50 50 4410 6030 4460 6030
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 5040 6030 50 50 5040 6030 5090 6030
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 5040 3420 50 50 5040 3420 5090 3420
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4410 3420 50 50 4410 3420 4460 3420
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4242 4222 50 50 4242 4222 4292 4222
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 5222 4222 50 50 5222 4222 5272 4222
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4642 2682 50 50 4642 2682 4692 2682
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4812 2682 50 50 4812 2682 4862 2682
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4725 6075 4635 6075
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3375 4815 3375 4725
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4725 4050 4635 4050
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4725 3375 4635 3375
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4725 2700 4635 2700
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4725 2025 4635 2025
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4725 5400 4635 5400
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4725 6750 4635 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5400 4815 5400 4725
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6075 4815 6075 4725
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6750 4815 6750 4725
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4050 4815 4050 4725
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 2700 4815 2700 4725
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 2025 4815 2025 4725
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 1800 1575 7650 1575 7650 7875 1800 7875 1800 1575
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4725 7425 4635 7425
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4725 7830 4725 1620
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 1845 4725 7605 4725
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 60.00 120.00
+	 5682 3792 5572 4442
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 60.00 120.00
+	 2655 5850 4162 5022
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 60.00 120.00
+	 2610 3465 4297 3987
+3 0 0 2 12 7 50 -1 -1 0.000 0 0 0 5
+	 4635 1620 4410 3690 4095 4095 3375 4500 1845 4635
+	 0.000 1.000 1.000 1.000 0.000
+3 0 0 2 21 7 50 -1 -1 0.000 0 0 0 6
+	 4680 1620 4635 3375 4455 4050 4050 4410 3420 4635 1845 4680
+	 0.000 1.000 1.000 1.000 1.000 0.000
+3 0 0 2 8 7 50 -1 -1 0.000 0 0 0 3
+	 4140 4725 4725 1530 5310 4725
+	 0.000 1.000 0.000
+3 0 0 2 12 7 50 -1 -1 0.000 0 0 0 5
+	 4815 1620 5040 3690 5355 4095 6075 4500 7605 4635
+	 0.000 1.000 1.000 1.000 0.000
+3 0 0 2 21 7 50 -1 -1 0.000 0 0 0 6
+	 4770 1620 4815 3375 4995 4050 5400 4410 6030 4635 7605 4680
+	 0.000 1.000 1.000 1.000 1.000 0.000
+3 0 0 2 8 7 50 -1 -1 0.000 0 0 0 3
+	 4140 4725 4725 7920 5310 4725
+	 0.000 1.000 0.000
+3 0 0 2 12 7 50 -1 -1 0.000 0 0 0 5
+	 4815 7830 5040 5760 5355 5355 6075 4950 7605 4815
+	 0.000 1.000 1.000 1.000 0.000
+3 0 0 2 12 7 50 -1 -1 0.000 0 0 0 5
+	 4635 7830 4410 5760 4095 5355 3375 4950 1845 4815
+	 0.000 1.000 1.000 1.000 0.000
+4 0 8 50 -1 0 16 0.0000 2 270 1485 2520 6075 $y= 4x^2 - 3$\001
+4 0 8 50 -1 0 16 0.0000 2 270 1635 2430 3375 $y= -4x^2 + 3$\001
+4 0 21 50 -1 0 16 0.0000 2 270 2490 5610 3720 $y=\\pm \\frac{1}{2x}$\001
+4 0 12 50 -1 0 16 0.0000 2 270 2295 5370 5690 $y=\\pm\\frac{1}{x}$\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_unb_rat.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/ex_unb_rat.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/fan_grids.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/fan_grids.fig
@ -0,0 +1,219 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Landscape
+Center
+Inches
+Letter  
+100.00
+Single
+-2
+1200 2
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 6000 11777 222 11555
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 5777 11777 222 11333
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 5555 11777 222 11111
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 5333 11777 222 10888
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 5111 11777 222 10666
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 4888 11777 222 10444
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 4666 11777 222 10222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 4444 11777 222 10000
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 4222 11777 222 9777
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 4000 11777 222 9555
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 3777 11777 222 9333
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 3555 11777 222 9111
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 3333 11777 222 8888
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 3111 11777 222 8666
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 2888 11777 222 8444
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 2666 11777 222 8222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 2444 11777 222 8000
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 2222 11777 222 7777
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 2000 11777 222 7555
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 1777 11777 222 7333
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 1555 11777 222 7111
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 1333 11777 222 6888
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 1111 11777 222 6666
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 888 11777 222 6444
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 666 11777 222 6222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 444 11777 222 6000
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 11777 444 6000 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 11777 666 6222 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 11777 888 6444 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 11777 1111 6666 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 11777 1333 6888 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 11777 1555 7111 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 11777 1777 7333 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 11777 2000 7555 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 11777 2222 7777 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 11777 2444 8000 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 11777 2666 8222 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 11777 2888 8444 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 11777 3111 8666 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 11777 3333 8888 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 11777 3555 9111 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 11777 3777 9333 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 11777 4000 9555 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 11777 4222 9777 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 11777 4444 10000 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 11777 4666 10222 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 11777 4888 10444 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 11777 5111 10666 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 11777 5333 10888 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 11777 5555 11111 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 11777 5777 11333 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 11777 6000 11555 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 222 6000 444 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 222 5777 666 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 222 5555 888 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 222 5333 1111 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 222 5111 1333 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 222 4888 1555 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 222 4666 1777 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 222 4444 2000 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 222 4222 2222 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 222 4000 2444 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 222 3777 2666 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 222 3555 2888 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 222 3333 3111 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 222 3111 3333 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 222 2888 3555 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 222 2666 3777 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 222 2444 4000 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 222 2222 4222 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 222 2000 4444 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 222 1777 4666 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 222 1555 4888 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 222 1333 5111 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 222 1111 5333 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 222 888 5555 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 222 666 5777 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 222 444 6000 222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 6000 11777 11777 11555
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 6222 11777 11777 11333
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 6444 11777 11777 11111
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 6666 11777 11777 10888
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 6888 11777 11777 10666
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 7111 11777 11777 10444
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 7333 11777 11777 10222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 7555 11777 11777 10000
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 7777 11777 11777 9777
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 8000 11777 11777 9555
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 8222 11777 11777 9333
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 8444 11777 11777 9111
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 8666 11777 11777 8888
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 8888 11777 11777 8666
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 9111 11777 11777 8444
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 9333 11777 11777 8222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 9555 11777 11777 8000
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 9777 11777 11777 7777
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 10000 11777 11777 7555
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 10222 11777 11777 7333
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 10444 11777 11777 7111
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 10666 11777 11777 6888
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 10888 11777 11777 6666
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 11111 11777 11777 6444
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 11333 11777 11777 6222
+2 1 0 1 8 7 50 0 -1 4.000 0 0 -1 0 0 2
+	 11555 11777 11777 6000
+2 2 0 2 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 0 0 12000 0 12000 12000 0 12000 0 0
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/fan_grids.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/fan_grids.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/h_shape.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/h_shape.fig
@ -0,0 +1,33 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Portrait
+Center
+Inches
+Letter  
+70.00
+Single
+-2
+1200 2
+1 3 0 1 0 4 40 0 20 0.000 1 0.0000 3600 4200 45 45 3600 4200 3645 4200
+1 3 0 1 0 4 40 0 20 0.000 1 0.0000 3600 3600 45 45 3600 3600 3645 3600
+1 3 0 1 0 4 40 0 20 0.000 1 0.0000 3600 3300 45 45 3600 3300 3645 3300
+1 3 0 1 0 4 40 0 20 0.000 1 0.0000 3600 2700 45 45 3600 2700 3645 2700
+1 3 0 1 0 4 40 0 20 0.000 1 0.0000 4500 2700 45 45 4500 2700 4545 2700
+1 3 0 1 0 4 40 0 20 0.000 1 0.0000 4500 3300 45 45 4500 3300 4545 3300
+1 3 0 1 0 4 40 0 20 0.000 1 0.0000 4500 3600 45 45 4500 3600 4545 3600
+1 3 0 1 0 4 40 0 20 0.000 1 0.0000 4500 4200 45 45 4500 4200 4545 4200
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 3300 2700 150 150 3300 2700 3450 2700
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 4800 4200 150 150 4800 4200 4950 4200
+2 1 0 2 8 7 50 0 -1 0.000 0 0 -1 0 0 2
+	 3600 4200 3600 2700
+2 1 0 2 8 7 50 0 -1 0.000 0 0 -1 0 0 2
+	 4500 4200 4500 2700
+2 1 0 2 8 7 50 0 -1 0.000 0 0 -1 0 0 2
+	 3600 3300 4500 3300
+2 1 0 2 8 7 50 0 -1 0.000 0 0 -1 0 0 2
+	 3600 3600 4500 3600
+2 2 0 0 0 7 50 0 -1 0.000 0 0 -1 0 0 5
+	 3150 2550 4950 2550 4950 4350 3150 4350 3150 2550
+4 0 0 50 0 0 16 0.0000 2 270 645 3338 3075 $s_3$\001
+4 0 0 50 0 0 16 0.0000 2 270 645 4575 3075 $s_4$\001
+4 0 0 50 0 0 16 0.0000 2 270 645 3975 3225 $s_1$\001
+4 0 0 50 0 0 16 0.0000 2 270 645 3975 3803 $s_2$\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/h_shape.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/h_shape.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/insert_at_vertices.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/insert_at_vertices.fig
@ -0,0 +1,94 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Landscape
+Center
+Inches
+Letter  
+35.00
+Single
+-2
+1200 2
+1 3 0 1 0 0 40 0 20 0.000 1 0.0000 2100 3900 50 50 2100 3900 2150 3900
+1 3 0 1 0 0 40 0 20 0.000 1 0.0000 4200 2700 50 50 4200 2700 4250 2700
+1 3 0 1 0 0 40 0 20 0.000 1 0.0000 6300 3900 50 50 6300 3900 6350 3900
+1 3 0 1 0 0 40 0 20 0.000 1 0.0000 3925 5100 50 50 3925 5100 3975 5100
+1 3 0 1 0 0 40 0 20 0.000 1 0.0000 3000 4200 50 50 3000 4200 3050 4200
+1 3 0 1 0 0 40 0 20 0.000 1 0.0000 3900 3900 50 50 3900 3900 3950 3900
+1 3 0 1 0 0 40 0 20 0.000 1 0.0000 3600 4500 50 50 3600 4500 3650 4500
+1 3 0 1 0 0 40 0 20 0.000 1 0.0000 5700 2400 50 50 5700 2400 5750 2400
+1 3 0 1 0 0 40 0 20 0.000 1 0.0000 5400 3075 50 50 5400 3075 5450 3075
+1 3 0 1 0 0 40 0 20 0.000 1 0.0000 3300 3600 50 50 3300 3600 3350 3600
+1 3 0 1 0 0 40 0 20 0.000 1 0.0000 6000 3300 50 50 6000 3300 6050 3300
+1 3 0 1 0 0 40 0 20 0.000 1 0.0000 4800 3000 50 50 4800 3000 4850 3000
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 1500 2100 75 75 1500 2100 1575 2100
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 6600 5700 75 75 6600 5700 6675 5700
+2 2 0 1 0 7 50 0 -1 0.000 0 0 -1 0 0 5
+	 1500 2100 6600 2100 6600 5700 1500 5700 1500 2100
+3 2 0 3 16 7 50 0 -1 0.000 0 0 0 3
+	 2100 3900 2850 2475 4200 2700
+	 0.000 -1.000 0.000
+3 0 0 3 16 7 50 0 -1 0.000 0 0 0 4
+	 3900 5100 3450 5325 2775 5175 2100 3825
+	 0.000 1.000 1.000 0.000
+3 2 0 3 16 7 50 0 -1 0.000 0 0 0 3
+	 6300 3900 5100 5100 3900 5100
+	 0.000 -1.000 0.000
+3 2 1 3 16 7 50 0 -1 4.000 0 0 0 3
+	 4200 2700 4650 3750 6300 3900
+	 0.000 -1.000 0.000
+3 0 0 3 16 7 50 0 -1 0.000 0 0 0 3
+	 3000 4200 3450 3975 3900 3900
+	 0.000 1.000 0.000
+3 0 0 3 16 7 50 0 -1 0.000 0 0 0 3
+	 3000 4200 3225 4500 3600 4500
+	 0.000 1.000 0.000
+3 0 0 3 16 7 50 0 -1 0.000 0 0 0 3
+	 3600 4500 3900 4275 3900 3975
+	 0.000 1.000 0.000
+3 0 0 3 16 7 50 0 -1 0.000 0 0 0 3
+	 4800 3000 5100 3150 5400 3075
+	 0.000 1.000 0.000
+3 0 0 3 16 7 50 0 -1 0.000 0 0 0 3
+	 5400 3075 5625 2850 5700 2400
+	 0.000 1.000 0.000
+3 0 0 3 16 7 50 0 -1 0.000 0 0 0 3
+	 4800 3000 5400 2700 5700 2400
+	 0.000 1.000 0.000
+3 0 1 1 0 7 50 0 -1 4.000 0 0 1 6
+	1 1 1.00 90.00 150.00
+	 4200 2550 3600 2325 3225 2250 2700 2400 2250 2925 2025 3750
+	 0.000 1.000 1.000 1.000 1.000 0.000
+3 0 1 1 0 7 50 0 -1 4.000 0 0 1 4
+	1 1 1.00 90.00 150.00
+	 2175 3825 2625 2700 3300 2325 4050 2700
+	 0.000 1.000 1.000 0.000
+3 2 0 1 0 7 50 0 -1 0.000 0 0 1 3
+	1 1 1.00 90.00 150.00
+	 6150 3825 4800 3675 4275 2850
+	 0.000 -1.000 0.000
+3 0 0 1 0 7 50 0 -1 0.000 0 0 1 4
+	1 1 1.00 90.00 150.00
+	 4125 2850 4050 3375 4800 4125 6150 3975
+	 0.000 1.000 1.000 0.000
+3 0 1 1 0 7 50 0 -1 4.000 0 0 1 4
+	1 1 1.00 90.00 150.00
+	 6075 4050 5400 4875 4725 5175 4125 5100
+	 0.000 1.000 1.000 0.000
+3 0 1 1 0 7 50 0 -1 4.000 0 0 1 4
+	1 1 1.00 90.00 150.00
+	 3975 5250 4725 5475 5700 4875 6300 4050
+	 0.000 1.000 1.000 0.000
+3 0 0 3 16 7 50 0 -1 0.000 0 0 0 3
+	 3300 3600 3075 3825 3000 4200
+	 0.000 1.000 0.000
+3 0 0 3 16 7 50 0 -1 0.000 0 0 0 3
+	 3300 3600 3750 3600 3900 3900
+	 0.000 1.000 0.000
+3 0 0 3 16 7 50 0 -1 0.000 0 0 0 3
+	 5400 3075 5625 3225 6000 3300
+	 0.000 1.000 0.000
+4 0 0 50 0 0 24 0.0000 2 360 600 2850 3225 $f'$\001
+4 0 0 50 0 0 24 0.0000 2 360 510 1800 2700 $f$\001
+4 0 0 50 0 0 20 0.0000 2 315 765 3300 4125 $h_1$\001
+4 0 0 50 0 0 20 0.0000 2 315 765 5325 2925 $h_2$\001
+4 0 0 50 0 0 20 0.0000 2 315 765 4350 2625 $u_1$\001
+4 0 0 50 0 0 20 0.0000 2 315 765 6150 3750 $u_2$\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/insert_at_vertices.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/insert_at_vertices.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/insert_from_vertex.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/insert_from_vertex.fig
@ -0,0 +1,51 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Landscape
+Center
+Inches
+Letter  
+35.00
+Single
+-2
+1200 2
+1 3 0 1 0 0 40 0 20 0.000 1 0.0000 2100 3900 50 50 2100 3900 2150 3900
+1 3 0 1 0 0 40 0 20 0.000 1 0.0000 4500 4800 50 50 4500 4800 4550 4800
+1 3 0 1 0 0 40 0 20 0.000 1 0.0000 4200 2700 50 50 4200 2700 4250 2700
+1 3 0 1 0 0 40 0 20 0.000 1 0.0000 5400 3900 50 50 5400 3900 5450 3900
+1 3 0 1 0 11 40 0 20 0.000 1 0.0000 6000 3000 60 60 6000 3000 6060 3000
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 1500 2100 75 75 1500 2100 1575 2100
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 6600 5700 75 75 6600 5700 6675 5700
+2 2 0 1 0 7 50 0 -1 0.000 0 0 -1 0 0 5
+	 1500 2100 6600 2100 6600 5700 1500 5700 1500 2100
+3 2 0 3 16 7 50 0 -1 0.000 0 0 0 3
+	 4200 2700 4950 3000 5400 3900
+	 0.000 -1.000 0.000
+3 2 0 3 16 7 50 0 -1 0.000 0 0 0 3
+	 2100 3900 2850 2475 4200 2700
+	 0.000 -1.000 0.000
+3 2 0 3 16 7 50 0 -1 0.000 0 0 0 3
+	 5400 3900 5100 5100 4500 4800
+	 0.000 -1.000 0.000
+3 2 0 1 0 7 50 0 -1 0.000 0 1 0 3
+	1 1 1.00 90.00 150.00
+	 6075 3150 5925 3600 5550 3900
+	 0.000 -1.000 0.000
+3 2 0 3 16 7 50 0 -1 0.000 0 0 0 4
+	 4500 4800 3900 4575 2775 5175 2100 3825
+	 0.000 -1.000 -1.000 0.000
+3 2 0 1 0 7 50 0 -1 0.000 0 1 0 3
+	1 1 1.00 90.00 150.00
+	 5475 3750 5700 3375 5850 3075
+	 0.000 -1.000 0.000
+3 0 1 1 0 7 50 0 -1 4.000 0 1 0 4
+	1 1 1.00 90.00 150.00
+	 4275 2625 4950 2700 5325 3300 5400 3675
+	 0.000 1.000 1.000 0.000
+3 0 1 1 0 7 50 0 -1 4.000 0 1 0 5
+	1 1 1.00 90.00 150.00
+	 5475 4050 5325 4950 5250 5175 4875 5325 4500 4950
+	 0.000 1.000 1.000 1.000 0.000
+3 2 1 4 16 7 50 0 -1 6.000 0 0 0 3
+	 5400 3900 5850 3450 6000 3000
+	 0.000 -1.000 0.000
+4 0 0 50 0 0 20 0.0000 2 285 465 5025 4125 $u$\001
+4 0 0 50 0 0 20 0.0000 2 285 450 6000 2850 $v$\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/insert_from_vertex.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/insert_from_vertex.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/insert_in_face.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/insert_in_face.fig
@ -0,0 +1,45 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Landscape
+Center
+Inches
+Letter  
+35.00
+Single
+-2
+1200 2
+1 3 0 1 0 0 40 0 20 0.000 1 0.0000 3900 2400 50 50 3900 2400 3950 2400
+1 3 0 1 0 0 40 0 20 0.000 1 0.0000 6000 3900 50 50 6000 3900 6050 3900
+1 3 0 1 0 0 40 0 20 0.000 1 0.0000 4500 4800 50 50 4500 4800 4550 4800
+1 3 0 1 0 11 40 0 20 0.000 1 0.0000 3000 4200 60 60 3000 4200 3060 4200
+1 3 0 1 0 11 40 0 20 0.000 1 0.0000 4200 3900 60 60 4200 3900 4260 3900
+1 3 0 1 0 0 40 0 20 0.000 1 0.0000 2100 3900 50 50 2100 3900 2150 3900
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 1500 2100 75 75 1500 2100 1575 2100
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 6600 5700 75 75 6600 5700 6675 5700
+2 2 0 1 0 7 50 0 -1 0.000 0 0 -1 0 0 5
+	 1500 2100 6600 2100 6600 5700 1500 5700 1500 2100
+3 2 0 3 16 7 50 0 -1 0.000 0 0 0 3
+	 3900 2400 4500 3300 6000 3900
+	 0.000 -1.000 0.000
+3 2 0 3 16 7 50 0 -1 0.000 0 0 0 3
+	 2100 3900 2700 3000 3900 2400
+	 0.000 -1.000 0.000
+3 2 0 3 16 7 50 0 -1 0.000 0 0 0 3
+	 6000 3900 5100 5100 4500 4800
+	 0.000 -1.000 0.000
+3 2 0 3 16 7 50 0 -1 0.000 0 0 0 3
+	 4500 4800 3000 5100 2100 3825
+	 0.000 -1.000 0.000
+3 2 0 1 0 7 50 0 -1 0.000 0 1 0 3
+	1 1 1.00 90.00 150.00
+	 3000 4050 3525 3825 4125 3825
+	 0.000 -1.000 0.000
+3 2 0 1 0 7 50 0 -1 0.000 0 1 0 3
+	1 1 1.00 90.00 150.00
+	 4125 3975 3675 4125 3150 4200
+	 0.000 -1.000 0.000
+3 2 1 4 16 7 50 0 -1 6.000 0 0 0 3
+	 3000 4200 3600 3975 4200 3900
+	 0.000 -1.000 0.000
+4 0 0 50 0 0 24 0.0000 2 360 510 3300 3075 $f$\001
+4 0 0 50 0 0 20 0.0000 2 315 750 2625 4350 $v_1$\001
+4 0 0 50 0 0 20 0.0000 2 315 750 4275 3825 $v_2$\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/insert_in_face.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/insert_in_face.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/pred_around_vertex.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/pred_around_vertex.fig
@ -0,0 +1,37 @@
+#FIG 3.2
+Portrait
+Center
+Inches
+Letter  
+70.00
+Single
+-2
+1200 2
+1 3 0 1 0 11 40 0 20 0.000 1 0.0000 3600 4500 45 45 3600 4500 3645 4500
+1 3 0 1 0 11 40 0 20 0.000 1 0.0000 3600 3000 45 45 3600 3000 3645 3000
+1 3 0 1 0 11 40 0 20 0.000 1 0.0000 5100 2700 45 45 5100 2700 5145 2700
+1 3 0 1 0 11 40 0 20 0.000 1 0.0000 4800 5070 45 45 4800 5070 4845 5070
+1 3 0 1 0 4 40 0 20 0.000 1 0.0000 4200 3900 45 45 4200 3900 4245 3900
+2 1 0 2 8 7 50 0 -1 0.000 0 0 -1 0 0 3
+	 3600 3000 4200 3900 5100 2700
+2 1 0 2 8 7 50 0 -1 0.000 0 0 -1 0 0 3
+	 3600 4500 4200 3900 4800 5100
+2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 3720 3000 4207 3727
+2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5122 2812 4312 3885
+2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 4680 5047 4200 4050
+2 1 0 1 0 7 50 0 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 3592 4372 4065 3900
+2 1 1 3 4 7 50 0 -1 1.000 0 0 -1 0 0 2
+	 4200 3900 5700 4200
+2 2 0 0 0 7 50 0 -1 0.000 0 0 -1 0 0 5
+	 3000 2550 6000 2550 6000 5250 3000 5250 3000 2550
+4 0 0 50 0 0 16 0.0000 2 240 1560 4800 3450 $e_{\\rm pred}$\001
+4 0 0 50 0 0 16 0.0000 2 195 345 4950 3975 $c$\001
+4 0 0 50 0 0 16 0.0000 2 195 360 3900 3900 $v$\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/pred_around_vertex.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/pred_around_vertex.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/sl_simple.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/sl_simple.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/tmp.inputs
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/tmp.inputs
@ -0,0 +1,9 @@
+\usepackage{txfonts}
+\usepackage{pstricks}
+\usepackage{color}
+\usepackage{pst-plot}
+\usepackage{pst-tree}
+\usepackage{pst-eps}
+\usepackage{multido}
+\usepackage{pst-node}
+\usepackage{graphicx}        % for PostScript figures
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/triangle.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/triangle.fig
@ -0,0 +1,27 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Portrait
+Center
+Inches
+Letter  
+70.00
+Single
+-2
+1200 2
+6 3300 2550 4950 4200
+2 2 0 0 0 7 50 0 -1 0.000 0 0 -1 0 0 5
+	 3300 2550 4950 2550 4950 4200 3300 4200 3300 2550
+-6
+1 3 0 1 0 4 40 0 20 0.000 1 0.0000 3450 3900 45 45 3450 3900 3495 3900
+1 3 0 1 0 4 40 0 20 0.000 1 0.0000 4650 3900 45 45 4650 3900 4695 3900
+1 3 0 1 0 4 40 0 20 0.000 1 0.0000 3450 2700 45 45 3450 2700 3495 2700
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 4875 4200 75 75 4875 4200 4950 4200
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 3300 2550 75 75 3300 2550 3375 2550
+2 1 0 2 8 7 50 0 -1 0.000 0 0 -1 0 0 2
+	 3450 3900 3450 2700
+2 1 0 2 8 7 50 0 -1 0.000 0 0 -1 0 0 2
+	 3450 2700 4650 3900
+2 1 0 2 8 7 50 0 -1 0.000 0 0 -1 0 0 2
+	 3450 3900 4650 3900
+4 0 0 50 0 0 16 0.0000 2 270 675 3450 4125 $p_1$\001
+4 0 0 50 0 0 16 0.0000 2 270 675 4500 4125 $p_3$\001
+4 0 0 50 0 0 16 0.0000 2 270 675 3525 2700 $p_2$\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/triangle.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/triangle.pdf
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/unb_dcel.fig
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/unb_dcel.fig
@ -0,0 +1,190 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Landscape
+Center
+Metric
+A4      
+45.00
+Single
+-2
+1200 2
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 2700 3150 45 45 2700 3150 2745 3150
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 2700 4275 45 45 2700 4275 2745 4275
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 2700 5625 45 45 2700 5625 2745 5625
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 9000 6525 45 45 9000 6525 9045 6525
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 9000 4275 45 45 9000 4275 9045 4275
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 9000 2700 45 45 9000 2700 9045 2700
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5625 2250 45 45 5625 2250 5670 2250
+1 3 0 1 0 11 40 -1 20 0.000 1 0.0000 4770 4275 45 45 4770 4275 4815 4275
+1 3 0 1 0 11 40 -1 20 0.000 1 0.0000 5162 4485 45 45 5162 4485 5207 4485
+1 3 0 1 0 11 40 -1 20 0.000 1 0.0000 5622 4705 45 45 5622 4705 5667 4705
+1 3 0 1 0 11 40 -1 20 0.000 1 0.0000 5625 4275 45 45 5625 4275 5670 4275
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 5625 6975 45 45 5625 6975 5670 6975
+1 3 0 1 0 23 40 -1 20 0.000 1 0.0000 2700 2250 45 45 2700 2250 2745 2250
+1 3 0 1 0 23 40 -1 20 0.000 1 0.0000 9000 2250 45 45 9000 2250 9045 2250
+1 3 0 1 0 23 40 -1 20 0.000 1 0.0000 2700 6975 45 45 2700 6975 2745 6975
+1 3 0 1 0 23 40 -1 20 0.000 1 0.0000 9000 6975 45 45 9000 6975 9045 6975
+2 1 0 3 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 2700 5625 9000 2700
+2 1 0 3 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 2700 4275 9045 4275
+2 1 0 3 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 2700 3150 9000 6525
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 2790 3105 4815 4185
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 4815 4185 5535 4185
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5535 4185 5535 2340
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 2790 4185 4500 4185
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 4500 4185 2790 3330
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 2790 5490 4995 4500
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 4995 4500 4725 4365
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 4725 4365 2790 4365
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5535 6885 5535 4770
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 8910 6570 5715 4860
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5715 4860 5715 6885
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 8910 4365 5715 4365
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5715 4365 5715 4680
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 8910 2835 5985 4185
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5985 4185 8910 4185
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5715 2340 5715 4140
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5715 4140 8910 2655
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5520 4752 5175 4545
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5715 4680 8910 6390
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 2790 4365 2790 5490
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 8910 6390 8910 4365
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 8910 4185 8910 2835
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 2790 3330 2790 4185
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 2610 5580 2610 4320
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 2610 4230 2610 3195
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 9090 2745 9090 4230
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 9090 4320 9090 6480
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5670 2160 8955 2160
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 9090 2295 9090 2610
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 8910 2340 5715 2340
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 8910 2655 8910 2340
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 2610 6930 2610 5715
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5130 4590 2790 5670
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 2790 5670 2790 6885
+2 1 0 3 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5625 6975 5625 2475
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5580 7065 2745 7065
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 2790 6885 5535 6885
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 90.00
+	 5715 6885 8910 6885
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 9090 6570 9090 6930
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 8955 7065 5670 7065
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 8910 6885 8910 6570
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 5535 2340 2790 2340
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 2610 3105 2610 2295
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 2790 2340 2790 3105
+2 1 0 1 0 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	1 1 1.00 60.00 120.00
+	 2745 2160 5580 2160
+2 2 1 1 15 7 60 -1 20 4.000 0 0 -1 0 0 5
+	 2700 2250 9000 2250 9000 6975 2700 6975 2700 2250
+2 2 0 1 0 6 70 -1 30 0.000 0 0 -1 0 0 5
+	 1575 1350 10125 1350 10125 7875 1575 7875 1575 1350
+4 0 0 50 -1 0 16 0.0000 2 270 675 2262 5750 $v_1$\001
+4 0 0 50 -1 0 16 0.0000 2 270 675 2242 4330 $v_2$\001
+4 0 0 50 -1 0 16 0.0000 2 270 675 2282 3150 $v_3$\001
+4 0 0 50 -1 0 16 0.0000 2 270 675 5535 2070 $v_5$\001
+4 0 0 50 -1 0 16 0.0000 2 270 675 9135 6660 $v_6$\001
+4 0 0 50 -1 0 16 0.0000 2 270 675 9162 4350 $v_7$\001
+4 0 0 50 -1 0 16 0.0000 2 270 675 9142 2770 $v_8$\001
+4 0 1 50 -1 0 18 0.0000 2 270 630 6222 3170 $f_1$\001
+4 0 1 50 -1 0 18 0.0000 2 270 630 7862 3780 $f_2$\001
+4 0 1 50 -1 0 18 0.0000 2 270 630 7642 5050 $f_3$\001
+4 0 1 50 -1 0 18 0.0000 2 270 630 5902 5710 $f_4$\001
+4 0 1 50 -1 0 18 0.0000 2 270 630 4362 5430 $f_5$\001
+4 0 1 50 -1 0 18 0.0000 2 270 630 3202 4790 $f_6$\001
+4 0 1 50 -1 0 18 0.0000 2 270 630 3112 3960 $f_7$\001
+4 0 1 50 -1 0 18 0.0000 2 270 630 4322 3230 $f_8$\001
+4 0 0 50 -1 0 16 0.0000 2 270 675 5580 7290 $v_4$\001
+4 0 0 50 -1 0 16 0.0000 2 270 1485 2385 7290 $v_{\\rm bl}$\001
+4 0 0 50 -1 0 16 0.0000 2 270 1515 9000 7245 $v_{\\rm br}$\001
+4 0 0 50 -1 0 16 0.0000 2 270 1470 9000 2115 $v_{\\rm tr}$\001
+4 0 0 50 -1 0 16 0.0000 2 270 1440 2205 2205 $v_{\\rm tl}$\001
+4 0 1 50 -1 0 20 0.0000 2 315 705 3285 1755 $f_0$\001
--- a/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/unb_dcel.pdf
+++ b/Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/unb_dcel.pdf
--- a/BGL/doc/BGL/fig_src/ex_bgl.fig
+++ b/BGL/doc/BGL/fig_src/ex_bgl.fig
@ -0,0 +1,84 @@
+#FIG 3.2
+Landscape
+Center
+Metric
+A4      
+50.00
+Single
+-2
+1200 2
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 2025 2250 101 101 2025 2250 2126 2250
+1 3 0 1 7 7 55 -1 -1 0.000 1 0.0000 8325 7650 101 101 8325 7650 8426 7650
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3600 4500 50 50 3600 4500 3650 4500
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 3600 5850 50 50 3600 5850 3650 5850
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 6300 5850 50 50 6300 5850 6350 5850
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 7200 4950 50 50 7200 4950 7250 4950
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4950 4500 50 50 4950 4500 5000 4500
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4050 5400 50 50 4050 5400 4100 5400
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 4500 4950 50 50 4500 4950 4550 4950
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 5102 5262 50 50 5102 5262 5152 5262
+1 3 0 1 0 4 40 -1 20 0.000 1 0.0000 4500 3150 50 50 4500 3150 4550 3150
+1 3 0 1 0 7 40 -1 20 0.000 1 0.0000 3982 4712 50 50 3982 4712 4032 4712
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 5400 3060 5400
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4950 3060 4950
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4500 3060 4500
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 4050 3060 4050
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 3600 3060 3600
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 3150 3060 3150
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 6750 3060 6750
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3600 6390 3600 6300
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 2700 6390 2700 6300
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4050 6390 4050 6300
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4500 6390 4500 6300
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4950 6390 4950 6300
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5400 6390 5400 6300
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 5850 6390 5850 6300
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6300 6390 6300 6300
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 6750 6390 6750 6300
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 2475 6300 7650 6300
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 7200 6390 7200 6300
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 1 0 2
+	0 0 1.00 90.00 120.00
+	 3150 7200 3150 2700
+2 1 0 1 15 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3150 5850 3060 5850
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3600 5850 4500 3150
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3591 4518 6300 5850
+2 2 0 1 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 2025 2250 8325 2250 8325 7650 2025 7650 2025 2250
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4041 5418 7200 4950
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 4042 5408 4950 4500
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 3
+	 4500 3150 7200 4950 6300 5850
+2 1 0 2 8 7 50 -1 -1 0.000 0 0 -1 0 0 2
+	 3600 5850 6300 5850
+4 0 0 50 -1 2 16 0.0000 0 210 300 4410 5265 [4]\001
+4 0 0 50 -1 2 16 0.0000 0 210 300 6750 3510 [0]\001
+4 0 0 50 -1 0 16 0.0000 2 210 570 6075 3510 $f_0$\001
+4 0 0 50 -1 0 18 0.0000 2 270 675 3645 6075 $v_0$\001
+4 0 0 50 -1 2 16 0.0000 0 210 300 5400 4455 [3]\001
+4 0 0 50 -1 2 16 0.0000 0 210 300 6075 5445 [1]\001
+4 0 0 50 -1 2 16 0.0000 0 210 300 4590 5715 [2]\001
--- a/BGL/doc/BGL/fig_src/ex_bgl.pdf
+++ b/BGL/doc/BGL/fig_src/ex_bgl.pdf
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/fig_src/circles_rects.pdf
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/fig_src/circles_rects.pdf
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/fig_src/conic_arcs.pdf
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/fig_src/conic_arcs.pdf
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/fig_src/disks.pdf
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/fig_src/disks.pdf
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/fig_src/general_polygon.pdf
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/fig_src/general_polygon.pdf
@ -0,0 +1,59 @@
+%PDF-1.3
+%Çì<C387>¢
+5 0 obj
+<</Length 6 0 R/Filter /FlateDecode>>
+stream
+xœÝ‘ANÅ0D÷>…/€Iì8®Oð×À"ñañˆ×'•b·ô¨‹hFöø<C3B6>ú……*–ý[ïxÀó«áý
+™â*~‚n•š	ò&´•Š<E280A2>tšõÂØ´“¹ v&Þ*JarçÔjsª^ÓáFZ«eBè¸1 œ*s›„‹œò—<1E>Ë	Â}ûÊ?àœ¼soøoÿ°á¼Ífw§¦súh–Ž·éè¼D*Êó2žy>u=ô€<C3B4>”MZ:O…Äÿdœœ$8yÆ“Ü0r¸Ïó¼z@°„“¬+áÚfÿ“½t’9{4LgÑ©Û\³ä×ï1§†jJù1Ñ;<3B>û¥Î»é,²Hò¸qtŠp’r%\{ìÝ^àN³Nendstream
+endobj
+6 0 obj
+271
+endobj
+4 0 obj
+<</Type/Page/MediaBox [0 0 60.7 56.69]
+/Parent 3 0 R
+/Resources<</ProcSet[/PDF]
+/ExtGState 8 0 R
+>>
+/Contents 5 0 R
+>>
+endobj
+3 0 obj
+<< /Type /Pages /Kids [
+4 0 R
+] /Count 1
+>>
+endobj
+1 0 obj
+<</Type /Catalog /Pages 3 0 R
+>>
+endobj
+7 0 obj
+<</Type/ExtGState
+/OPM 1>>endobj
+8 0 obj
+<</R7
+7 0 R>>
+endobj
+2 0 obj
+<</Producer(ESP Ghostscript 815.03)
+/CreationDate(D:20090216184739)
+/ModDate(D:20090216184739)>>endobj
+xref
+0 9
+0000000000 65535 f 
+0000000568 00000 n 
+0000000686 00000 n 
+0000000509 00000 n 
+0000000375 00000 n 
+0000000015 00000 n 
+0000000356 00000 n 
+0000000616 00000 n 
+0000000657 00000 n 
+trailer
+<< /Size 9 /Root 1 0 R /Info 2 0 R
+/ID [(ù³CÁ=à¾Zï}Ì\(À)(ù³CÁ=à¾Zï}Ì\(À)]
+>>
+startxref
+797
+%%EOF
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/fig_src/general_polygon_with_holes.pdf
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/fig_src/general_polygon_with_holes.pdf
@ -0,0 +1,58 @@
+%PDF-1.3
+%Çì<C387>¢
+5 0 obj
+<</Length 6 0 R/Filter /FlateDecode>>
+stream
+xœÝ”M²1„÷>…/€°~mŸ€5p„©"°xŠ×GóÊ’ÍáU‰:žî¯£™ü®
°¶ûµÞ¯·òù[¯¯?¥A×ú*XÒ¹Ò`
ë[*Â¬Q5è“«
¬Üæ¤œ¯‚2'¦BŠØÓ!æÈ¸J(ÈæÕÀÔøð_óU’`)Ax_ýä¿Ê<C2BF>2a™Ô¿¥Õ/°áÏòÝw÷*ÂºÐÑ,ÖéNR¹Ç°*Ô@u'ÇìœÔAl¦‚f@‡CÌ;=•6€ºw^(Ú‘óU‚"”ä^Ï÷?n·{{Í·ç_ˆú®wÃT¦¸¢žÊê¼<C3AA>¡“ß
ÓgÜóU<›:K*ŸðüÏãP’àÐ:ù}×kø<6B>ù™>3)fï¹XBIÖåðlsïÐšûÙÝ0•E§Ó_íÉ¯Ãn›£¡v‘¹Oø†Î~9gn*‹,‚<2v· %)—Ã³ÇÝ
ý©Ä1Žn©,2ô«ÉloÏÐçs{¨
HÇ>!Ì¶bÞ÷g(‹,ro+cwŠ<”áðèñþì™€ÉÙ-•E&ªN¼÷&"ïï»›°Â½7ñ?Ä;/bÎÜTY8ydìnA‘'‚2=în_Ë?Óp]Ùendstream
+endobj
+6 0 obj
+451
+endobj
+4 0 obj
+<</Type/Page/MediaBox [0 0 60.7 56.69]
+/Parent 3 0 R
+/Resources<</ProcSet[/PDF]
+/ExtGState 8 0 R
+>>
+/Contents 5 0 R
+>>
+endobj
+3 0 obj
+<< /Type /Pages /Kids [
+4 0 R
+] /Count 1
+>>
+endobj
+1 0 obj
+<</Type /Catalog /Pages 3 0 R
+>>
+endobj
+7 0 obj
+<</Type/ExtGState
+/OPM 1>>endobj
+8 0 obj
+<</R7
+7 0 R>>
+endobj
+2 0 obj
+<</Producer(ESP Ghostscript 815.03)
+/CreationDate(D:20090216184740)
+/ModDate(D:20090216184740)>>endobj
+xref
+0 9
+0000000000 65535 f 
+0000000748 00000 n 
+0000000866 00000 n 
+0000000689 00000 n 
+0000000555 00000 n 
+0000000015 00000 n 
+0000000536 00000 n 
+0000000796 00000 n 
+0000000837 00000 n 
+trailer
+<< /Size 9 /Root 1 0 R /Info 2 0 R
+/ID [(0<>¢›n¤MyÊEgÚ6hû)(0<>¢›n¤MyÊEgÚ6hû)]
+>>
+startxref
+977
+%%EOF
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/fig_src/non_strictly_simple.pdf
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/fig_src/non_strictly_simple.pdf
@ -0,0 +1,59 @@
+%PDF-1.3
+%Çì<C387>¢
+5 0 obj
+<</Length 6 0 R/Filter /FlateDecode>>
+stream
+xœŽA
+Â@E÷9Å?AÌ¤™$s×ê„VÁ.Ä…×·-¢]–,>¼„—‡p<E280A1>ÌóÎóH»c`x<>pÅ@W*æ\5°dW0’q4Ï„f²ºâö!Æ)9‘eW×¤'ÓÆéÊô{U£ph÷‡|¿õ4y\Ýð$Á~³†:mÖqvè¶ÎEÿendstream
+endobj
+6 0 obj
+129
+endobj
+4 0 obj
+<</Type/Page/MediaBox [0 0 57.7 30.06]
+/Parent 3 0 R
+/Resources<</ProcSet[/PDF]
+/ExtGState 8 0 R
+>>
+/Contents 5 0 R
+>>
+endobj
+3 0 obj
+<< /Type /Pages /Kids [
+4 0 R
+] /Count 1
+>>
+endobj
+1 0 obj
+<</Type /Catalog /Pages 3 0 R
+>>
+endobj
+7 0 obj
+<</Type/ExtGState
+/OPM 1>>endobj
+8 0 obj
+<</R7
+7 0 R>>
+endobj
+2 0 obj
+<</Producer(ESP Ghostscript 815.03)
+/CreationDate(D:20090216184736)
+/ModDate(D:20090216184736)>>endobj
+xref
+0 9
+0000000000 65535 f 
+0000000426 00000 n 
+0000000544 00000 n 
+0000000367 00000 n 
+0000000233 00000 n 
+0000000015 00000 n 
+0000000214 00000 n 
+0000000474 00000 n 
+0000000515 00000 n 
+trailer
+<< /Size 9 /Root 1 0 R /Info 2 0 R
+/ID [(V oŽ$–Uà…ÿôci-Y)(V oŽ$–Uà…ÿôci-Y)]
+>>
+startxref
+655
+%%EOF
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/fig_src/sequence.pdf
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/fig_src/sequence.pdf
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/fig_src/simple.pdf
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/fig_src/simple.pdf
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/fig_src/simpleDefsExamples.pdf
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/fig_src/simpleDefsExamples.pdf
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/fig_src/symm_diff.fig
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/fig_src/symm_diff.fig
@ -0,0 +1,43 @@
+#FIG 3.2  Produced by xfig version 3.2.5-alpha5
+Landscape
+Center
+Metric
+A4      
+100.00
+Single
+-2
+1200 2
+2 2 0 0 15 7 60 -1 45 0.000 0 0 -1 0 0 5
+	 4050 1800 6750 1800 6750 2700 4050 2700 4050 1800
+2 2 0 0 15 7 60 -1 44 0.000 0 0 -1 0 0 5
+	 3150 2700 4050 2700 4050 5400 3150 5400 3150 2700
+2 2 0 0 15 7 60 -1 45 0.000 0 0 -1 0 0 5
+	 4050 5400 6750 5400 6750 6300 4050 6300 4050 5400
+2 2 0 0 15 7 60 -1 44 0.000 0 0 -1 0 0 5
+	 6750 2700 7650 2700 7650 5400 6750 5400 6750 2700
+2 2 0 0 15 7 60 -1 44 0.000 0 0 -1 0 0 5
+	 5850 3600 6750 3600 6750 4500 5850 4500 5850 3600
+2 2 0 0 15 7 60 -1 45 0.000 0 0 -1 0 0 5
+	 4950 2700 5850 2700 5850 3600 4950 3600 4950 2700
+2 2 0 0 15 7 60 -1 44 0.000 0 0 -1 0 0 5
+	 4050 3600 4950 3600 4950 4500 4050 4500 4050 3600
+2 2 0 0 15 7 60 -1 45 0.000 0 0 -1 0 0 5
+	 4950 4500 5850 4500 5850 5400 4950 5400 4950 4500
+2 2 0 0 15 7 60 -1 44 0.000 0 0 -1 0 0 5
+	 3150 2700 4050 2700 4050 5400 3150 5400 3150 2700
+2 2 0 0 15 7 60 -1 46 0.000 0 0 -1 0 0 5
+	 4050 2700 4950 2700 4950 3600 4050 3600 4050 2700
+2 2 0 0 15 7 60 -1 46 0.000 0 0 -1 0 0 5
+	 5850 2700 6750 2700 6750 3600 5850 3600 5850 2700
+2 2 0 0 15 7 60 -1 46 0.000 0 0 -1 0 0 5
+	 4050 4500 4950 4500 4950 5400 4050 5400 4050 4500
+2 2 0 0 15 7 60 -1 46 0.000 0 0 -1 0 0 5
+	 5850 4500 6750 4500 6750 5400 5850 5400 5850 4500
+2 2 0 3 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 3150 2700 7650 2700 7650 5400 3150 5400 3150 2700
+2 2 0 3 0 7 50 -1 -1 0.000 0 0 -1 0 0 5
+	 4050 3600 6750 3600 6750 4500 4050 4500 4050 3600
+2 2 1 3 0 7 50 -1 -1 4.000 0 0 -1 0 0 5
+	 4050 1800 6750 1800 6750 6300 4050 6300 4050 1800
+2 2 1 3 0 7 50 -1 -1 4.000 0 0 -1 0 0 5
+	 4950 2700 5850 2700 5850 5400 4950 5400 4950 2700
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/fig_src/symm_diff.pdf
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/fig_src/symm_diff.pdf
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/fig_src/teaser.pdf
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/fig_src/teaser.pdf
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/fig_src/tnr_m_g.pdf
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/fig_src/tnr_m_g.pdf
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/fig_src/triangles.pdf
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/fig_src/triangles.pdf
--- a/Boolean_set_operations_2/doc/Boolean_set_operations_2/fig_src/unique.pdf
+++ b/Boolean_set_operations_2/doc/Boolean_set_operations_2/fig_src/unique.pdf
@ -0,0 +1,60 @@
+%PDF-1.3
+%Çì<C387>¢
+5 0 obj
+<</Length 6 0 R/Filter /FlateDecode>>
+stream
+xœ<EFBFBD>A
+AïyE^'É$™¼À³úÁUpâÁï;ƒ
+{]rèÐÐÕô1–q_=Ï°;NO(d8ã
"É½²¥6œ¡Q¤·†Fœ)‚w<E2809A>[:l<> <20>ÒÕÃ»su%[<5B>Ö9£]8U•úûGaÒ4ÔPª<Hë¾uî×VÓ‰íCJJ¯ø‚‚ûÍ¶^á´ÙÚÁÚjï`à
U&c`endstream
+endobj
+6 0 obj
+159
+endobj
+4 0 obj
+<</Type/Page/MediaBox [0 0 58.42 50.59]
+/Parent 3 0 R
+/Resources<</ProcSet[/PDF]
+/ExtGState 8 0 R
+>>
+/Contents 5 0 R
+>>
+endobj
+3 0 obj
+<< /Type /Pages /Kids [
+4 0 R
+] /Count 1
+>>
+endobj
+1 0 obj
+<</Type /Catalog /Pages 3 0 R
+>>
+endobj
+7 0 obj
+<</Type/ExtGState
+/OPM 1>>endobj
+8 0 obj
+<</R7
+7 0 R>>
+endobj
+2 0 obj
+<</Producer(ESP Ghostscript 815.03)
+/CreationDate(D:20090216184741)
+/ModDate(D:20090216184741)>>endobj
+xref
+0 9
+0000000000 65535 f 
+0000000457 00000 n 
+0000000575 00000 n 
+0000000398 00000 n 
+0000000263 00000 n 
+0000000015 00000 n 
+0000000244 00000 n 
+0000000505 00000 n 
+0000000546 00000 n 
+trailer
+<< /Size 9 /Root 1 0 R /Info 2 0 R
+/ID [(–Cô0Â¬X˜`fRIþj6)(–Cô0Â¬X˜`fRIþj6)]
+>>
+startxref
+686
+%%EOF
--- a/Bounding_volumes/doc/Bounding_volumes/fig_src/annulus.pdf
+++ b/Bounding_volumes/doc/Bounding_volumes/fig_src/annulus.pdf
--- a/Show More
+++ b/Show More