<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 creates mesh of the above image.
<br>
\anchor arithmetic_1d_anchor
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
+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-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 <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.
+
+\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
