<br>
<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>
<li>\ref fixed_points_1d_anchor "Fixed points 1D"</li>
</ul>
+<br>
+\anchor adaptive_1d_anchor
+<h2>Adaptive hypothesis</h2>
+
+<b>Adaptive</b> hypothesis allows to split edges into segments with a
+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 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 "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 uses Adaptive hypothesis.
+
<br>
\anchor arithmetic_1d_anchor
<h2>Arithmetic 1D hypothesis</h2>
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
if the geometrical object is selected for meshing. In this case it is
possible to select the edges to be reversed either directly picking them in
the 3D viewer or selecting the edges or groups of edges in the
-Object browser.
+Object Browser.
\image html mesh_fixedpnt.png "Example of a submesh on the edge built using Fixed points 1D hypothesis"
