smesh/doc/gui/input/aspect_ratio_3d.rst

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.. _aspect_ratio_3d_page:
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Aspect ratio 3D
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The **Aspect Ratio 3D** mesh quality criterion calculates the same parameter as the :ref:`aspect_ratio_page` criterion, but it is applied to 3D mesh elements: tetrahedrons, pentahedrons, hexahedrons, etc.
* The **Aspect Ratio** of a **tetrahedron** 3D element defined by vertices {a,b,c,d } is calculated by the formula:
.. image:: ../images/formula1.png
:align: center
* Other element types like polyhedron, pentahedron and hexahedron use the following formula:
.. image:: ../images/formula2.png
:align: center
*To apply the Aspect Ratio 3D quality criterion to your mesh:*
.. |img| image:: ../images/image144.png
#. Display your mesh in the viewer.
#. Choose **Controls > Volume Controls > Aspect Ratio 3D** or click *"Aspect Ratio 3D"* button |img| of the toolbar.
Your mesh will be displayed in the viewer with its elements colored according to the applied mesh quality control criterion:
.. image:: ../images/image86.jpg
:align: center
**See Also** a sample TUI Script of a :ref:`tui_aspect_ratio_3d` filter.