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Wedge Tetrahedron


TetrahedralMeshTableWedge

A wedge tetrahedron is a nearly flat tetrahedron with one close pair of vertices, while the remaining two vertices lie away from that pair and from one another (Cheng et al. 2012, p. 25; Hannukainen et al. 2017, p. 3).

In the degenerate limit, the close pair coalesces and the three distinct limiting positions form a triangle. This is one of the qualitative nearly flat shape types 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. "Wedge Tetrahedron." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/WedgeTetrahedron.html

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