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Spire Tetrahedron


TetrahedralMeshTableSpire

A spire tetrahedron is a long, thin tetrahedron with three vertices clustered near one endpoint and the fourth near a distant endpoint (Cheng et al. 2012, p. 25; Hannukainen et al. 2017, p. 3).

In this qualitative classification, it is also called a needle tetrahedron. In the degenerate limit, the three clustered vertices coalesce, and the shape approaches a line segment. The name is used in descriptions of tetrahedral mesh shape and mesh quality.


See also

Mesh Quality, Tetrahedral Mesh, Tetrahedron

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References

Cheng, S.-W.; Dey, T. K.; and Shewchuk, J. R. Delaunay Mesh Generation. Boca Raton, FL: CRC Press, 2012. https://people.eecs.berkeley.edu/~jrs/meshbook.html.Hannukainen, A.; Korotov, S.; and Krížek, M. "On Synge-Type Angle Condition for d-Simplices." Appl. Math. 62, 1-13, 2017. https://doi.org/10.21136/AM.2017.0132-16.

Cite this as:

Weisstein, Eric W. "Spire Tetrahedron." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SpireTetrahedron.html

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