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Spike Tetrahedron


TetrahedralMeshTableSpike

A spike tetrahedron is a long, thin tetrahedron with two vertices close to one endpoint of its long direction, a third near an interior position, and a fourth near the opposite endpoint (Cheng et al. 2012, p. 25; Hannukainen et al. 2017, p. 3).

In the degenerate limit, the close pair coalesces and the four vertices approach three distinct positions on a line. A spear tetrahedron instead has the close pair near an interior position. These are qualitative names used in tetrahedral mesh classification.


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

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