MeshQualityGoal

is an option for DiscretizeRegion and related functions that specifies a mesh cell quality goal for the result.

Details

Possible settings include:
Automatic quality automatically chosen

"Minimal" minimal quality, no quality goal

"Maximal" maximal quality

q quality
The automatically chosen quality goal may depend on PerformanceGoal and other option settings.
The quality measure is computed so that for regular polygons and polyhedra and for degenerate polygons and polyhedra .
It is generally not possible to generate a mesh to satisfy MeshQualityGoal->1. In this case, the meshing routine will try for the best quality that can typically be achieved.

Examples

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Triangulate an octagon with a minimal number of triangles:

Triangulate with more regular triangles:

Triangulate an octagon with the "Minimal" and "Maximal" number of triangles:

Triangulate with more regular triangles, but no measure constraint:

Specify a numeric quality goal:

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