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Spindle Tetrahedron


TetrahedralMeshTableSpindle

A spindle tetrahedron is a long, thin tetrahedron whose four vertices lie close to four distinct positions on a line (Cheng et al. 2012, p. 25; Hannukainen et al. 2017, p. 3).

As it approaches this degenerate configuration, its volume tends to zero without requiring any pair of vertices to coalesce. This distinguishes it from a splinter tetrahedron, which has two close pairs. Both names belong to qualitative tetrahedral mesh classifications.


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. "Spindle Tetrahedron." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SpindleTetrahedron.html

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