<ul>
<li>\ref adaptive_1d_anchor "Adaptive"</li>
<li>\ref arithmetic_1d_anchor "Arithmetic 1D"</li>
+<li>\ref geometric_1d_anchor "Geometric Progression"</li>
<li>\ref average_length_anchor "Local Length"</li>
<li>\ref max_length_anchor "Max Size"</li>
<li>\ref deflection_1d_anchor "Deflection 1D"</li>
<h2>Adaptive hypothesis</h2>
<b>Adaptive</b> hypothesis allows to split edges into segments with a
-length that depends on curvature of edges and faces and is limited
-from up and down. In addition length of a segment depends on lengths
-of adjacent segments (that can't differ more than twice) and on
+length that depends on the curvature of edges and faces and is limited by <b>Min. Size</b>
+and <b>Max Size</b>. The length of a segment also depends on the lengths
+of adjacent segments (that can't differ more than twice) and on the
distance to close geometrical entities (edges and faces) to avoid
creation of narrow 2D elements.
\image html adaptive1d.png
-<b>Min size</b> parameter limits minimal segment size. <b>Max size</b>
-parameter defines length of segments on stright edges. \b Deflection
-parameter gives maximal distance of a segment from a curved edge.
+- <b>Min size</b> parameter limits the minimal segment size.
+- <b>Max size</b> parameter defines the length of segments on straight edges.
+- \b Deflection parameter gives maximal distance of a segment from a curved edge.
-\image html adaptive1d_sample_mesh.png "A geometry and a mesh generated on this geometry using Adaptive hypothesis and Netgen 2D algorithm - the size of mesh segments reflects size of geometrical features"
+\image html adaptive1d_sample_mesh.png "Adaptive hypothesis and Netgen 2D algorithm - the size of mesh segments reflects the size of geometrical features"
-<b>See Also</b> a \ref tui_1d_adaptive "sample TUI Script" that
-creates the mesh of the above image.
+<b>See Also</b> a \ref tui_1d_adaptive "sample TUI Script" that uses Adaptive hypothesis.
<br>
\anchor arithmetic_1d_anchor
length that changes in arithmetic progression (Lk = Lk-1 + d)
beginning from a given starting length and up to a given end length.
-The direction of the splitting is defined by the orientation of the underlying geometrical edge.
-<b>"Reverse Edges"</b> list box allows to specify the edges for which the splitting should be made
-in the direction opposing to their orientation. This list box is enabled only if the geometry object
-is selected for the meshing. In this case the user can select edges to be reversed either directly
-picking them in the 3D viewer or by selecting the edges or groups of edges in the Object Browser.
+The splitting direction is defined by the orientation of the
+underlying geometrical edge.
+<b>Reverse Edges</b> list box allows specifying the edges, for which
+the splitting should be made in the direction opposite to their
+orientation. This list box is usable only if a geometry object is
+selected for meshing. In this case it is possible to select edges to
+be reversed either directly picking them in the 3D viewer or by
+selecting the edges or groups of edges in the Object Browser. Use \b
+Add button to add the selected edges to the list.
\image html a-arithmetic1d.png
\image html b-ithmetic1d.png "Arithmetic 1D hypothesis - the size of mesh elements gradually increases"
<b>See Also</b> a sample TUI Script of a
-\ref tui_1d_arithmetic "Defining Arithmetic 1D hypothesis" operation.
+\ref tui_1d_arithmetic "Defining Arithmetic 1D and Geometric Progression hypothesis" operation.
+
+<br>
+\anchor geometric_1d_anchor
+<h2>Geometric Progression hypothesis</h2>
+
+<b>Geometric Progression</b> hypothesis allows splitting edges into
+segments with a length that changes in geometric progression (Lk =
+Lk-1 * d) starting from a given <b>Start Length</b> and with a given
+<b>Common Ratio</b>.
+
+The splitting direction is defined by the orientation of the
+underlying geometrical edge.
+<b>Reverse Edges</b> list box allows specifying the edges, for which
+the splitting should be made in the direction opposite to their
+orientation. This list box is usable only if a geometry object is
+selected for meshing. In this case it is possible to select edges to
+be reversed either directly picking them in the 3D viewer or by
+selecting the edges or groups of edges in the Object Browser. Use \b
+Add button to add the selected edges to the list.
+
+\image html a-geometric1d.png
+
+<b>See Also</b> a sample TUI Script of a
+\ref tui_1d_arithmetic "Defining Arithmetic 1D and Geometric Progression hypothesis" operation.
<br>
\anchor deflection_1d_anchor
mesh. Later these nodes will be used for meshing of the faces abutting
to these edges.
-The direction of the splitting is defined by the orientation of the underlying geometrical edge.
-<b>"Reverse Edges"</b> list box allows to specify the edges for which the splitting should be made
-in the direction opposing to their orientation. This list box is enabled only if the geometry object
-is selected for the meshing. In this case the user can select edges to be reversed either directly
-picking them in the 3D viewer or by selecting the edges or groups of edges in the Object Browser.
+The direction of the splitting is defined by the orientation of the
+underlying geometrical edge. <b>"Reverse Edges"</b> list box allows to
+specify the edges for which the splitting should be made in the
+direction opposing to their orientation. This list box is enabled only
+if the geometry object is selected for the meshing. In this case the
+user can select edges to be reversed either by directly picking them
+in the 3D viewer or by selecting the edges or groups of edges in the
+Object Browser.
\image html image46.gif
constructed at segment ends location and 1D mesh elements are
constructed on them.
-The direction of the splitting is defined by the orientation of the underlying geometrical edge.
-<b>"Reverse Edges"</b> list box allows to specify the edges for which the splitting should be made
-in the direction opposing to their orientation. This list box is enabled only if the geometry object
-is selected for the meshing. In this case the user can select edges to be reversed either directly
-picking them in the 3D viewer or by selecting the edges or groups of edges in the Object Browser.
+The direction of the splitting is defined by the orientation of the
+underlying geometrical edge. <b>"Reverse Edges"</b> list box allows to
+specify the edges for which the splitting should be made in the
+direction opposing to their orientation. This list box is enabled only
+if the geometry object is selected for the meshing. In this case the
+user can select edges to be reversed either by directly picking them
+in the 3D viewer or by selecting the edges or groups of edges in the
+Object Browser.
\image html a-startendlength.png
