diff --git a/Isosurfacing_3/doc/Isosurfacing_3/Isosurfacing_3.txt b/Isosurfacing_3/doc/Isosurfacing_3/Isosurfacing_3.txt
index 14491a157fd..5638b0597cc 100644
--- a/Isosurfacing_3/doc/Isosurfacing_3/Isosurfacing_3.txt
+++ b/Isosurfacing_3/doc/Isosurfacing_3/Isosurfacing_3.txt
@@ -73,8 +73,10 @@ The implementation within \cgal is generic in the sense that it can process any
 that consists of hexahedral cells.
 In case of a conforming grid, the Marching Cubes algorithm generates
 as output a surface triangle mesh that is 2-manifold in most scenarios.
-[@todo PA: reformulate, as it is either strict or not - precise in which cases it is not, and say
-whether you talk about just combinatorially 2-manifold, or truly 2-manifold with 3D embedding taken into account]
+
+@todo PA: reformulate, as it is either strict or not - precise in which cases it is not, and say
+whether you talk about just combinatorially 2-manifold, or truly 2-manifold with 3D embedding taken into account
+
 If the mesh is 2-manifold and the isosurface does not intersect the domain boundary, then the output mesh is watertight.
 As the Marching Cubes algorithm uses linear interpolation of the sampled scalar field along the grid edges,
 it can miss details or components that are not captured by the sampling of the scalar field.
@@ -84,7 +86,7 @@ MC often generates more triangles, and more skinny triangles with small or large
 @todo PA: The statement is too strong - I would largely reformulate it as this depends too much on the parameters. I recommend to add instead a figure with different parameters and methods,
 depicting the mesh edges in black in addition to the shaded facets.
 
-MC does not preserve the sharp features present in the isovalue of the input scalar field
+Furthermore, MC does not preserve the sharp features present in the isovalue of the input scalar field
 (see \cgalFigureRef{IsosurfacingMCDC}).
 
 \subsection SubSecTMC Topologically Correct Marching Cubes (TMC)
@@ -220,7 +222,7 @@ Both these domain models are equipped with template parameters enabling the user
                       A few classes are provided by default, such as `CGAL::Isosurfacing::Value_function_3` and
                       `CGAL::Isosurfacing::Interpolated_discrete_values_3`. Users can provide their own value class,
                       provided it meets the requirements described by the concept `IsosurfacingValueField_3`.
-- <b>GradientField (`Dual_contouring_domain_3` only):</b> this must be a class that provides the gradient
+- <b>GradientField:</b> (`CGAL::Isosurfacing::Dual_contouring_domain_3` only) this must be a class that provides the gradient
                                                           of the scalar field at the vertices of the partition.
                                                           A few classes are provided by default, such as
                                                           `CGAL::Isosurfacing::Finite_difference_gradient_3` and
diff --git a/Isosurfacing_3/include/CGAL/Isosurfacing_3/Dual_contouring_domain_3.h b/Isosurfacing_3/include/CGAL/Isosurfacing_3/Dual_contouring_domain_3.h
index ef11771cdea..56bbd2c08d7 100644
--- a/Isosurfacing_3/include/CGAL/Isosurfacing_3/Dual_contouring_domain_3.h
+++ b/Isosurfacing_3/include/CGAL/Isosurfacing_3/Dual_contouring_domain_3.h
@@ -29,7 +29,7 @@ namespace Isosurfacing {
  * \brief A domain that can be used as input in the %Dual Contouring algorithm.
  *
  * \details This class is essentially a wrapper around the different bricks provided by its
- * template parameters: `Partition` provides the spacial partitioning, `ValueField` and `GradientField`
+ * template parameters: `Partition` provides the spatial partitioning, `ValueField` and `GradientField`
  * the values and gradients that define the isosurface. The optional template parameter
  * `EdgeIntersectionOracle` gives control over the method used to compute edge-isosurface intersection points.
  *
diff --git a/Isosurfacing_3/include/CGAL/Isosurfacing_3/Marching_cubes_domain_3.h b/Isosurfacing_3/include/CGAL/Isosurfacing_3/Marching_cubes_domain_3.h
index f25f221b02c..057d25380e3 100644
--- a/Isosurfacing_3/include/CGAL/Isosurfacing_3/Marching_cubes_domain_3.h
+++ b/Isosurfacing_3/include/CGAL/Isosurfacing_3/Marching_cubes_domain_3.h
@@ -29,7 +29,7 @@ namespace Isosurfacing {
  * \brief A domain that can be used with the Marching Cubes algorithm.
  *
  * \details This class is essentially wrapper around the different bricks provided by its
- * template parameters: `Partition` provides the spacial partitioning, `ValueField`
+ * template parameters: `Partition` provides the spatial partitioning, `ValueField`
  * the values that define the isosurface. The optional template parameter
  * `EdgeIntersectionOracle` gives control over the method used to compute edge-isosurface intersection points.
  *
@@ -37,7 +37,7 @@ namespace Isosurfacing {
  * \tparam ValueField must be a model of `IsosurfacingValueField_3`
  * \tparam EdgeIntersectionOracle must be a model of `IsosurfacingEdgeIntersectionOracle_3`
  *
- * \sa `CGAL::Isosurfacing::marching_cubes_3()`
+ * \sa `CGAL::Isosurfacing::marching_cubes()`
  * \sa `CGAL::Isosurfacing::Dual_contouring_domain_3`
  */
 template <typename Partition,
diff --git a/Isosurfacing_3/include/CGAL/Isosurfacing_3/dual_contouring_3.h b/Isosurfacing_3/include/CGAL/Isosurfacing_3/dual_contouring_3.h
index 08255d6e4f5..883707eeb0e 100644
--- a/Isosurfacing_3/include/CGAL/Isosurfacing_3/dual_contouring_3.h
+++ b/Isosurfacing_3/include/CGAL/Isosurfacing_3/dual_contouring_3.h
@@ -41,7 +41,7 @@ namespace Isosurfacing {
  *                      and `BackInsertionSequence` whose value type is `std::size_t`.
  * \tparam NamedParameters a sequence of \ref bgl_namedparameters "Named Parameters"
  *
- * \param domain the domain providing the spacial partition and the values and gradient data
+ * \param domain the domain providing the spatial partition and the values and gradient data
  * \param isovalue the value defining the isosurface
  * \param points the points of the polygons in the created polygon soup
  * \param polygons each element in the vector describes a polygon using the indices of the points in `points`
diff --git a/Isosurfacing_3/include/CGAL/Isosurfacing_3/marching_cubes_3.h b/Isosurfacing_3/include/CGAL/Isosurfacing_3/marching_cubes_3.h
index 708b617590c..676577bef8b 100644
--- a/Isosurfacing_3/include/CGAL/Isosurfacing_3/marching_cubes_3.h
+++ b/Isosurfacing_3/include/CGAL/Isosurfacing_3/marching_cubes_3.h
@@ -39,7 +39,7 @@ namespace Isosurfacing {
  *                      and `BackInsertionSequence` whose value type is `std::size_t`.
  * \tparam NamedParameters a sequence of \ref bgl_namedparameters "Named Parameters"
  *
- * \param domain the domain providing the spacial partition and the data
+ * \param domain the domain providing the spatial partition and the data
  * \param isovalue the value defining the isosurface
  * \param points the points of the triangles in the created indexed face set
  * \param triangles each element in the vector describes a triangle using the indices of the points in `points`