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Ported to tikz

This commit is contained in:
Efi Fogel 2023-10-23 16:23:04 +03:00
parent 3f8ea79eb7
commit dedb100fa8
4 changed files with 236 additions and 186 deletions
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175
Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/arr_segs.tex
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@ -2,98 +2,95 @@
\input{header} \input{header}
\pagestyle{empty} \pagestyle{empty}
\begin{document} \begin{document}
\psscalebox{1.8}{\arrset{0.8} \begin{tikzpicture}[scale=1.0,thick]
\pspicture[](-0.2,-0.2)(12.2,12.2) \node[point] at ( 1, 3) (a) {};
%\psgrid(0,0)(12,12) \node[point] at ( 2, 4) (b) {};
\arrMainVertex( 1, 3){a} \node[point] at ( 0, 6) (c) {};
\arrMainVertex( 2, 4){b} \node [point,label={[label distance=0pt]90:{$v_1$}}] at ( 5,11) (1) {};
\arrMainVertex( 0, 6){c} \node[point] at ( 9,11) (f) {};
\arrv[90](5,11){1} \node[point] at (12, 8) (g) {};
\arrMainVertex(9,11){f} \node [point,label={[label distance=0pt]-45:{$v_2$}}] at ( 8, 8) (2) {};
\arrMainVertex(12, 8){g} \node[point] at ( 8, 4) (i) {};
\arrv[-60](8,8){2} \node[point] at ( 6, 4) (j) {};
\arrMainVertex( 8, 4){i} \node[point] at ( 6, 2) (k) {};
\arrMainVertex( 6, 4){j} \node[point] at ( 4, 0) (m) {};
\arrMainVertex( 6, 2){k} \node[point] at ( 9, 0) (n) {};
\arrMainVertex( 4, 0){m} \node[point] at (11, 2) (o) {};
\arrMainVertex( 9, 0){n} \node[point] at (12, 4) (p) {};
\arrMainVertex(11, 2){o} \node[point] at (12, 0) (q) {};
\arrMainVertex(12, 4){p} \node[point] at ( 4, 2) (r) {};
\arrMainVertex(12, 0){q} \node[point] at ( 3, 3) (s) {};
\arrMainVertex( 4, 2){r} \node[point] at ( 5, 3) (t) {};
\arrMainVertex( 3, 3){s}
\arrMainVertex( 5, 3){t}
% %
\ncline[linewidth=0.5pt,linecolor=blue]{a}{b} \draw[blue] (a)--(b);
\ncline[linewidth=0.5pt,linecolor=blue]{b}{c} \draw[blue] (b)--(c);
\ncline[linewidth=0.5pt,linecolor=blue]{c}{1} \draw[blue] (c)--(1);
\ncline[linewidth=0.5pt,linecolor=blue]{1}{f} \draw[blue] (1)--(f);
\ncline[linewidth=0.5pt,offset=3pt,nodesepB=6pt]{->}{f}{1}\Aput[1pt]{$e_{\mathrm{prev}}$} \draw [halfedge,shorten >=4pt] (f) to node[sloped,below]{$e_{\mathrm{prev}}$} (1);
\ncline[linewidth=0.5pt,linecolor=blue]{f}{g} \draw[blue] (f)--(g);
\ncline[linewidth=0.5pt,linecolor=blue]{g}{2} \draw[blue] (g)--(2);
\ncline[linewidth=0.5pt,linecolor=blue]{g}{2} \draw [halfedge,shorten >=4pt] (2) to node[sloped,above]{$e_{\mathrm{next}}$} (g);
\ncline[linewidth=0.5pt,offset=3pt,nodesepB=4pt]{->}{2}{g}\Aput[1pt]{$e_{\mathrm{next}}$} \draw[blue] (2)--(i);
\ncline[linewidth=0.5pt,linecolor=blue]{2}{i} \draw[blue] (i)--(j);
\ncline[linewidth=0.5pt,linecolor=blue]{i}{j} \draw[blue] (j)--(k);
\ncline[linewidth=0.5pt,linecolor=blue]{j}{k} \draw[blue] (k)--(m);
\ncline[linewidth=0.5pt,linecolor=blue]{k}{m} \draw[blue] (m)--(a);
\ncline[linewidth=0.5pt,linecolor=blue]{m}{a} \draw[blue] (1)--(2);
\ncline[linewidth=0.5pt,linecolor=blue]{1}{2} \draw[blue] (g)--(i);
\ncline[linewidth=0.5pt,linecolor=blue]{g}{i} \draw[blue] (m)--(n);
\ncline[linewidth=0.5pt,linecolor=blue]{m}{n} \draw[blue] (n)--(i);
\ncline[linewidth=0.5pt,linecolor=blue]{n}{i} \draw[blue] (g)--(n);
\ncline[linewidth=0.5pt,linecolor=blue]{g}{n} \draw[blue] (n)--(o);
\ncline[linewidth=0.5pt,linecolor=blue]{n}{o} \draw[blue] (o)--(p);
\ncline[linewidth=0.5pt,linecolor=blue]{o}{p} \draw[blue] (p)--(q);
\ncline[linewidth=0.5pt,linecolor=blue]{p}{q} \draw[blue] (q)--(o);
\ncline[linewidth=0.5pt,linecolor=blue]{q}{o} \draw[blue] (r)--(s);
\ncline[linewidth=0.5pt,linecolor=blue]{r}{s}
\ncline[linewidth=0.5pt,offset=3pt]{->}{r}{s}
\ncline[linewidth=0.5pt,offset=3pt]{->}{s}{r}
\ncline[linewidth=0.5pt,linecolor=blue]{r}{t}
\ncline[linewidth=0.5pt,offset=3pt]{->}{r}{t}
\ncline[linewidth=0.5pt,offset=3pt]{->}{t}{r}
% %
\ncline[linewidth=0.5pt,offset=3pt]{->}{b}{a} \path [halfedge] (r) edge (s);
\ncline[linewidth=0.5pt,offset=3pt]{->}{c}{b} \path [halfedge] (s) edge (r);
\ncline[linewidth=0.5pt,offset=3pt]{->}{1}{c} \draw [blue] (r)--(t);
\ncline[linewidth=0.5pt,offset=3pt,nodesepA=4pt]{->}{g}{f} \path [halfedge] (r) edge (t);
\ncline[linewidth=0.5pt,offset=3pt]{->}{i}{2} \path [halfedge] (t) edge (r);
\ncline[linewidth=0.5pt,offset=3pt]{->}{j}{i}
\ncline[linewidth=0.5pt,offset=3pt]{->}{k}{j}
\ncline[linewidth=0.5pt,offset=3pt]{->}{m}{k}
\ncline[linewidth=0.5pt,offset=3pt]{->}{a}{m}
\ncline[linewidth=0.5pt,offset=3pt,nodesepA=6pt]{->}{1}{2}\Aput[1pt]{$e$}
\ncline[linewidth=0.5pt,offset=3pt]{->}{2}{1}\Aput[1pt]{$e'$}
% %
\rput(2,10){$f_0$} \path [halfedge] (b) edge (a);
\rput(3,4){$f_1$} \path [halfedge] (c) edge (b);
\rput(8.5,9.5){$f_2$} \path [halfedge] (1) edge (c);
\rput(5,7){$f_3$} \path [halfedge,shorten <=4pt] (g) edge (f);
\rput(4.5,5.6){$f_4$} \path [halfedge] (i) edge (2);
\path [halfedge] (j) edge (i);
\path [halfedge] (k) edge (j);
\path [halfedge] (m) edge (k);
\path [halfedge] (a) edge (m);
\draw [halfedge,shorten <=4pt] (1) to node[sloped,above=-1pt]{$e$} (2);
\draw [halfedge] (2) to node[sloped,below=-1pt]{$e'$} (1);
% %
\arru[90](2,6){1} \node at (2,10){$f_0$};
\arru[90](5,9){2} \node at (3,4){$f_1$};
\node at (8.5,9.5){$f_2$};
\node at (5,7){$f_3$};
\node at (4.5,5.6){$f_4$};
% %
\arrMainVertex(4,5){a} \node [point,label={[label distance=0pt]90:{$u_1$}}] at (2,6) (1) {};
\arrMainVertex(4,7){b} \node [point,label={[label distance=0pt]90:{$u_2$}}] at (5,9) (1) {};
\arrMainVertex(5,8){c} %
\arrMainVertex(5,4){f} \node[point] at (4,5) (a) {};
\arrMainVertex(5,6){e} \node[point] at (4,7) (b) {};
\arrMainVertex(6,7){d} \node[point] at (5,8) (c) {};
\ncline[linewidth=0.5pt,linecolor=blue]{a}{b} \node[point] at (5,4) (f) {};
\ncline[linewidth=0.5pt,linecolor=blue]{b}{c} \node[point] at (5,6) (e) {};
\ncline[linewidth=0.5pt,linecolor=blue]{c}{d} \node[point] at (6,7) (d) {};
\ncline[linewidth=0.5pt,linecolor=blue]{d}{e} \draw[blue] (a)--(b);
\ncline[linewidth=0.5pt,linecolor=blue]{e}{f} \draw[blue] (b)--(c);
\ncline[linewidth=0.5pt,linecolor=blue]{f}{a} \draw[blue] (c)--(d);
\ncline[linewidth=0.5pt,linecolor=blue]{b}{e} \draw[blue] (d)--(e);
\ncline[linewidth=0.5pt,offset=3pt]{->}{a}{b} \draw[blue] (e)--(f);
\ncline[linewidth=0.5pt,offset=3pt]{->}{b}{c} \draw[blue] (f)--(a);
\ncline[linewidth=0.5pt,offset=3pt]{->}{c}{d} \draw[blue] (b)--(e);
\ncline[linewidth=0.5pt,offset=3pt]{->}{d}{e} \path [halfedge] (a) edge (b);
\ncline[linewidth=0.5pt,offset=3pt]{->}{e}{f} \path [halfedge] (b) edge (c);
\ncline[linewidth=0.5pt,offset=3pt]{->}{f}{a} \path [halfedge] (c) edge (d);
\endpspicture \path [halfedge] (d) edge (e);
} \path [halfedge] (e) edge (f);
\path [halfedge] (f) edge (a);
\end{tikzpicture}%
\end{document} \end{document}

2
Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/bezier_curves.tex
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@ -2,7 +2,7 @@
\input{header} \input{header}
\pagestyle{empty} \pagestyle{empty}
\begin{document} \begin{document}
\psscalebox{1.8}{\arrset{1}% \psscalebox{1}{\arrset{1}%
\def\bodyBezier{ \def\bodyBezier{
\psline[linecolor=blue](2295,5175)(2492.01,5062.83)(2677.89,4983.16)(2854.44,4929.86)(3023.31,4897.62)(3185.98,4881.79)(3343.77,4878.41)(3497.83,4884.1)(3649.2,4896.04)(3798.76,4911.9)(3947.28,4929.78)(4095.39,4948.19)(4243.63,4965.94)(4392.4,4982.15)(4542.04,4996.13)(4692.77,5007.39)(4844.74,5015.54)(4998.01,5020.26)(5152.6,5021.23)(5308.42,5018.09)(5465.37,5010.38)(5623.29,4997.49)(5781.96,4978.58)(5941.15,4952.58)(6100.6,4918.08)(6260.03,4873.33)(6419.14,4816.11)(6577.65,4743.77)(6735.25,4653.1)(6891.68,4540.32)(7046.68,4400.99)(7200,4230) \psline[linecolor=blue](2295,5175)(2492.01,5062.83)(2677.89,4983.16)(2854.44,4929.86)(3023.31,4897.62)(3185.98,4881.79)(3343.77,4878.41)(3497.83,4884.1)(3649.2,4896.04)(3798.76,4911.9)(3947.28,4929.78)(4095.39,4948.19)(4243.63,4965.94)(4392.4,4982.15)(4542.04,4996.13)(4692.77,5007.39)(4844.74,5015.54)(4998.01,5020.26)(5152.6,5021.23)(5308.42,5018.09)(5465.37,5010.38)(5623.29,4997.49)(5781.96,4978.58)(5941.15,4952.58)(6100.6,4918.08)(6260.03,4873.33)(6419.14,4816.11)(6577.65,4743.77)(6735.25,4653.1)(6891.68,4540.32)(7046.68,4400.99)(7200,4230)
\psline[linecolor=blue](8460,6165)(8622.25,6003.86)(8725.83,5853.19)(8782.58,5711.47)(8802.7,5577.35)(8794.88,5449.63)(8766.41,5327.29)(8723.29,5209.44)(8670.37,5095.32)(8611.44,4984.3)(8549.35,4875.84)(8486.17,4769.53)(8423.24,4665.02)(8361.36,4562.04)(8300.84,4460.4)(8241.66,4359.96)(8183.58,4260.61)(8126.25,4162.29)(8069.34,4064.94)(8012.64,3968.53)(7956.2,3873.02)(7900.41,3778.35)(7846.17,3684.44)(7794.97,3591.19)(7749.02,3498.44)(7711.36,3405.97)(7685.99,3313.49)(7677.98,3220.65)(7693.59,3127)(7740.38,3031.97)(7827.34,2934.9)(7965,2835) \psline[linecolor=blue](8460,6165)(8622.25,6003.86)(8725.83,5853.19)(8782.58,5711.47)(8802.7,5577.35)(8794.88,5449.63)(8766.41,5327.29)(8723.29,5209.44)(8670.37,5095.32)(8611.44,4984.3)(8549.35,4875.84)(8486.17,4769.53)(8423.24,4665.02)(8361.36,4562.04)(8300.84,4460.4)(8241.66,4359.96)(8183.58,4260.61)(8126.25,4162.29)(8069.34,4064.94)(8012.64,3968.53)(7956.2,3873.02)(7900.41,3778.35)(7846.17,3684.44)(7794.97,3591.19)(7749.02,3498.44)(7711.36,3405.97)(7685.99,3313.49)(7677.98,3220.65)(7693.59,3127)(7740.38,3031.97)(7827.34,2934.9)(7965,2835)

65
Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/header.tex
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@ -43,10 +43,25 @@
\usepackage{tikz} \usepackage{tikz}
\usepackage{pgfplots} \usepackage{pgfplots}
\usepackage{mathptmx} \usepackage{mathptmx}
\usetikzlibrary{calc,patterns,decorations.pathmorphing,decorations.markings,matrix,fit,decorations.pathreplacing,arrows,automata,positioning,shapes,chains,spy} \usetikzlibrary{calc}
%\usetikzlibrary{quotes,angles,graph} \usetikzlibrary{backgrounds}
\usetikzlibrary{intersections,through,backgrounds} \usetikzlibrary{decorations.pathmorphing}
\usetikzlibrary{decorations.markings}
\usetikzlibrary{decorations.pathreplacing}
\usetikzlibrary{patterns}
\usetikzlibrary{matrix}
\usetikzlibrary{fit}
\usetikzlibrary{arrows,arrows.meta}
\usetikzlibrary{automata}
\usetikzlibrary{positioning}
\usetikzlibrary{shapes}
\usetikzlibrary{chains}
\usetikzlibrary{spy}
\usetikzlibrary{intersections}
\usetikzlibrary{through}
\usetikzlibrary{cd}
\usepackage{tikz-3dplot} \usepackage{tikz-3dplot}
%\usetikzlibrary{quotes,angles,graph}
\tikzset{% \tikzset{%
invisible/.style={opacity=0}, invisible/.style={opacity=0},
only/.code args={<#1>#2}{\only<#1>{\pgfkeysalso{#2}}}, only/.code args={<#1>#2}{\only<#1>{\pgfkeysalso{#2}}},
@ -54,8 +69,49 @@
temporal/.code args={<#1>#2#3#4}{% temporal/.code args={<#1>#2#3#4}{%
\temporal<#1>{\pgfkeysalso{#2}}{\pgfkeysalso{#3}}{\pgfkeysalso{#4}}}, \temporal<#1>{\pgfkeysalso{#2}}{\pgfkeysalso{#3}}{\pgfkeysalso{#4}}},
point/.style={circle,inner sep=1.5pt,minimum size=1.5pt,draw,fill=#1}, point/.style={circle,inner sep=1.5pt,minimum size=1.5pt,draw,fill=#1},
point/.default=red point/.default=red,
halfedge/.style={-{Stealth[left,scale=1.5]},commutative diagrams/shift left=#1},
halfedge/.default=3pt
} }
% ------------------------------------------------------------------------------
% #1 half length of tick
% #2 min x
% #3 min y
% #4 max x
% #5 max y
\NewDocumentCommand{\myAxes}{O{4pt}mmmmO{0.001}}{%
%axis
\draw[-{Stealth[scale=1.5]}] (#2,0)--(#4,0);
\draw[-{Stealth[scale=1.5]}] (0,#3)--(0,#5);
%ticks
\pgfmathtruncatemacro{\xs}{int(#2)};
\pgfmathtruncatemacro{\xe}{int(#4-#6)};
\pgfmathtruncatemacro{\ys}{int(#3)};
\pgfmathtruncatemacro{\ye}{int(#5-#6)};
\foreach \x in {\xs,...,\xe} \draw (\x,#1)--(\x,-#1);
\foreach \y in {\ys,...,\ye} \draw (#1,\y)--(-#1,\y);%
}
% ------------------------------------------------------------------------------
%Syntax: [draw options] (center) (initial angle:final angle:radius)
\def\centerarc[#1](#2)(#3:#4:#5){\draw[#1]([shift=(#3:#5)]#2) arc (#3:#4:#5)}
% ------------------------------------------------------------------------------
\def\arrCrossVertexZ(#1)#2#3{\node[cross=#3] at (#1) (#2) {};}
\def\arrQueryVertexZ(#1)#2{\arrCrossVertexZ(#1){#2}{red}}
\def\arrCrossLabeledVertexZ[#1](#2)#3#4#5{\node [cross=#5,label={[label distance=-3pt]#1:{#4}}] at (#2) (#3) {};}
\def\arrQueryLabeledVertexZ[#1](#2)#3#4{\arrCrossLabeledVertexZ[#1](#2){#3}{#4}{red}}
%
\def\arrColorVertexZ(#1)#2#3{\node[point=#3] at (#1) (#2) {};}
\def\arrMinorVertexZ(#1)#2{\arrColorVertexZ(#1){#2}{cyan}}
\def\arrMainVertexZ(#1)#2{\arrColorVertexZ(#1){#2}{red}}
\def\arrIntersectionVertexZ(#1)#2{\arrColorVertexZ(#1){#2}{white}}
\def\arrColoredLabeledVertexZ[#1](#2)#3#4#5{\node [point=#5,label={[label distance=-3pt]#1:{#4}}] at (#2) (#3) {};}
\def\arrMainLabeledVertexZ[#1](#2)#3#4{\arrColoredLabeledVertexZ[#1](#2){#3}{#4}{red}}
\def\arrMinorLabeledVertexZ[#1](#2)#3#4{\arrColoredLabeledVertexZ[#1](#2){#3}{#4}{cyan}}
% ------------------------------------------------------------------------------
\def\arrvZ[#1](#2)#3{\arrColoredLabeledVertexZ[#1](#2){#3}{$v_{#3}$}{red}}
\def\arruZ[#1](#2)#3{\arrColoredLabeledVertexZ[#1](#2){#3}{$u_{#3}$}{red}}
\def\arrpZ[#1](#2)#3{\arrColoredLabeledVertexZ[#1](#2){#3}{$p_{#3}$}{red}}
% ==============================================================================
\makeatletter \makeatletter
\def\nodesDef{\@ifnextchar[{\@nodesDefWith}{\@nodesDefWithout}} \def\nodesDef{\@ifnextchar[{\@nodesDefWith}{\@nodesDefWithout}}
\def\@nodesDefWith[#1]#2{\foreach \c in #2 { \node[point=#1] (n\c) at (\c) {}; }} \def\@nodesDefWith[#1]#2{\foreach \c in #2 { \node[point=#1] (n\c) at (\c) {}; }}
@ -81,6 +137,7 @@
% \usepackage{picins} % \usepackage{picins}
\usepackage[absolute,overlay]{textpos} \usepackage[absolute,overlay]{textpos}
\usepackage{ifthen} \usepackage{ifthen}
\usepackage{xparse}
\usepackage{etoolbox} \usepackage{etoolbox}
% %

180
Arrangement_on_surface_2/doc/Arrangement_on_surface_2/fig_src/insert.tex
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@ -2,96 +2,92 @@
\input{header} \input{header}
\pagestyle{empty} \pagestyle{empty}
\begin{document} \begin{document}
\psscalebox{1.8}{\arrset{0.5}% \begin{tabular}{ccc}
\begin{tabular}{ccc} \begin{tikzpicture}
\pspicture[](0.5,0)(10,7) \node[point] at (1,4) (a) {};
\arrMainVertex(1,4){a} \node[point] at (5,6) (b) {};
\arrMainVertex(5,6){b} \node[point] at (9,4) (c) {};
\arrMainVertex(9,4){c} \node[point] at (7,2) (d) {};
\arrMainVertex(7,2){d} \node[point] at (3,1) (e) {};
\arrMainVertex(3,1){e} \node[point] at (3,2) (f) {};
\arrMainVertex(3,2){f} \draw[blue,very thick](a)--(b);
\ncline[linewidth=0.5pt,linecolor=blue]{a}{b} \draw[blue,very thick](b)--(c);
\ncline[linewidth=0.5pt,linecolor=blue]{b}{c} \draw[blue,very thick](c)--(d);
\ncline[linewidth=0.5pt,linecolor=blue]{c}{d} \draw[blue,very thick](d)--(e);
\ncline[linewidth=0.5pt,linecolor=blue]{d}{e} \draw[blue,very thick](e)--(f);
\ncline[linewidth=0.5pt,linecolor=blue]{e}{f} \draw[blue,very thick](f)--(a);
\ncline[linewidth=0.5pt,linecolor=blue]{f}{a} \node[point=cyan,label={[label distance=0pt]135:{$v_1$}}] at (3,3) (1) {};
\arrMinorVertex(3,3){1}\uput[135]{0}(3,3){$v_1$} \node[point=cyan,label={[label distance=0pt]135:{$v_2$}}] at (6,4) (2) {};
\arrMinorVertex(6,4){2}\uput[-45]{0}(6,4){$v_2$} \draw[dashed,blue,very thick] (1)--(2);
\ncline[linestyle=dashed,linewidth=0.5pt,linecolor=blue]{1}{2} \draw[halfedge] (1) to (2);
\ncline[linewidth=0.5pt,offset=3pt]{->}{1}{2} \draw[halfedge] (2) to (1);
\ncline[linewidth=0.5pt,offset=3pt]{->}{2}{1} \node at (5,5) {$f$};
\rput(5,5){$f$} \draw[thin](0.5,0) rectangle (10,7);
\psframe[linewidth=0.5pt](0.5,0)(10,7) \end{tikzpicture} &
\endpspicture & %
% \begin{tikzpicture}
\pspicture[](0.5,0)(10,7) \node[point] at (1,3) (a) {};
\arrMainVertex(1,3){a} \node[point] at (2,5) (b) {};
\arrMainVertex(2,5){b} \node[point] at (5,6) (c) {};
\arrMainVertex(5,6){c} \node[point,label={[label distance=0pt]180:{$u$}}] at (7,3) (u) {};
\arrMainVertex(7,3){u} \node[point] at (5,1) (e) {};
\uput[180]{0}(7,3){$u$} \node[point] at (3,2) (f) {};
\arrMainVertex(5,1){e} \node[point] at (2,1) (g) {};
\arrMainVertex(3,2){f} \draw[blue,very thick](a)--(b);
\arrMainVertex(2,1){g} \draw[blue,very thick](b)--(c);
\ncline[linewidth=0.5pt,linecolor=blue]{a}{b} \draw[blue,very thick](c)--(u);
\ncline[linewidth=0.5pt,linecolor=blue]{b}{c} \draw[blue,very thick](u)--(e);
\ncline[linewidth=0.5pt,linecolor=blue]{c}{u} \draw[blue,very thick](e)--(f);
\ncline[linewidth=0.5pt,linecolor=blue]{u}{e} \draw[blue,very thick](f)--(g);
\ncline[linewidth=0.5pt,linecolor=blue]{e}{f} \draw[blue,very thick](g)--(a);
\ncline[linewidth=0.5pt,linecolor=blue]{f}{g} \node[point=cyan,label={[label distance=0pt]90:{$v$}}] at (9,4) (v) {};
\ncline[linewidth=0.5pt,linecolor=blue]{g}{a} \draw[dashed,blue,very thick] (u)--(v);
\arrMinorVertex(9,4){v} \draw[dashed,halfedge] (c) to (u);
\uput[90]{0}(9,4){$v$} \draw[dashed,halfedge] (u) to (e);
\ncline[linestyle=dashed,linewidth=0.5pt,linecolor=blue]{u}{v} \draw[halfedge] (u) to (v);
\ncline[linestyle=dashed,linewidth=0.5pt,offset=3pt]{->}{c}{u} \draw[halfedge] (v) to (u);
\ncline[linestyle=dashed,linewidth=0.5pt,offset=3pt]{->}{u}{e} \draw[thin] (0.5,0) rectangle (10,7);
\ncline[linewidth=0.5pt,offset=3pt]{->}{u}{v} \end{tikzpicture} &
\ncline[linewidth=0.5pt,offset=3pt]{->}{v}{u} %
\psframe[linewidth=0.5pt](0.5,0)(10,7) \begin{tikzpicture}
\endpspicture & \node[point] at (1,3) (a) {};
% \node[point] at (2,6) (b) {};
\pspicture[](0.5,0)(10,7) \node[point,label={[label distance=0pt]45:{$u_1$}}] at (5,6) (1) {};
\arrMainVertex(1,3){a} \node[point,label={[label distance=0pt]45:{$u_2$}}] at (7,1) (2) {};
\arrMainVertex(2,6){b} \node[point] at (4,2) (e) {};
\arru[45](5,6){1} \node[point] at (2,1) (f) {};
\arru[-45](7,1){2} \draw[blue,very thick](a)--(b);
\arrMainVertex(4,2){e} \draw[blue,very thick](b)--(1);
\arrMainVertex(2,1){f} \draw[dashed,thick,halfedge] (b) to (1);
\ncline[linewidth=0.5pt,linecolor=blue]{a}{b} \draw[dashed,thick,halfedge] (1) to (b);
\ncline[linewidth=0.5pt,linecolor=blue]{b}{1} \draw[dashed,blue,very thick](1)--(2);
\ncline[linestyle=dashed,linewidth=0.5pt,offset=3pt]{->}{b}{1} \draw[thick,halfedge] (1) to (2);
\ncline[linestyle=dashed,linewidth=0.5pt,offset=3pt]{->}{1}{b} \draw[thick,halfedge,shorten <=4pt] (2) to (1);
\ncline[linestyle=dashed,linewidth=0.5pt,linecolor=blue]{1}{2} \draw[blue,very thick] (2)--(e);
\ncline[linewidth=0.5pt,offset=3pt]{->}{1}{2} \draw[dashed,halfedge] (2) to (e);
\ncline[linewidth=0.5pt,offset=3pt,nodesepA=6pt]{->}{2}{1} \draw[dashed,halfedge,shorten >=4pt] (e) to (2);
\ncline[linewidth=0.5pt,linecolor=blue]{2}{e} \draw[blue,very thick] (e)--(f);
\ncline[linestyle=dashed,linewidth=0.5pt,offset=3pt]{->}{2}{e} \draw[blue,very thick] (f)--(a);
\ncline[linestyle=dashed,linewidth=0.5pt,offset=3pt,nodesepB=4pt]{->}{e}{2} \node[point] at (2.5,4) (a) {};
\ncline[linewidth=0.5pt,linecolor=blue]{e}{f} \node[point] at (3.5,5) (b) {};
\ncline[linewidth=0.5pt,linecolor=blue]{f}{a} \node[point] at (4.5,4) (c) {};
\arrMainVertex(2.5,4){a} \node[point] at (3.5,3) (d) {};
\arrMainVertex(3.5,5){b} \draw[blue,very thick](a)--(b);
\arrMainVertex(4.5,4){c} \draw[blue,very thick](b)--(c);
\arrMainVertex(3.5,3){d} \draw[blue,very thick](c)-- node[midway,below,sloped] {$h_1$} (d);
\ncline[linewidth=0.5pt,linecolor=blue]{a}{b} \draw[blue,very thick](d)--(a);
\ncline[linewidth=0.5pt,linecolor=blue]{b}{c} \draw[blue,very thick](a)--(c);
\ncline[linewidth=0.5pt,linecolor=blue]{c}{d}\Aput[1pt]{$h_1$} \node at (1,5) {$f$};
\ncline[linewidth=0.5pt,linecolor=blue]{d}{a} \node at (2.5,5) {$f'$};
\ncline[linewidth=0.5pt,linecolor=blue]{a}{c} \node[point] at (7,4) (a) {};
\rput(1,5){$f$} \node[point] at (8,4) (b) {};
\rput(2.5,5){$f'$} \node[point] at (8,5) (c) {};
\arrMainVertex(7,4){a} \node[point] at (9,3) (d) {};
\arrMainVertex(8,4){b} \draw[blue,very thick] (a)--(b);
\arrMainVertex(8,5){c} \draw[blue,very thick] (b)--(c);
\arrMainVertex(9,3){d} \draw[blue,very thick] (c)--(a);
\ncline[linewidth=0.5pt,linecolor=blue]{a}{b} \draw[blue,very thick] (b)-- node[midway,below,sloped] {$h_2$} (d);
\ncline[linewidth=0.5pt,linecolor=blue]{b}{c} \draw[thin] (0.5,0) rectangle (10,7);
\ncline[linewidth=0.5pt,linecolor=blue]{c}{a} \end{tikzpicture}
\ncline[linewidth=0.5pt,linecolor=blue]{b}{d}\Aput[1pt]{$h_2$} \end{tabular}
\psframe[linewidth=0.5pt](0.5,0)(10,7)
\endpspicture
\end{tabular}
}
\end{document} \end{document}