A spade tetrahedron is a nearly flat tetrahedron with one polyhedron vertex close to an interior
point of a polyhedron edge joining two of the
other three vertices (Cheng et al. 2012,
p. 25; Hannukainen et al. 2017, p. 3).
In the degenerate limit, the other three vertices form a triangle , and the fourth lies on one of its edges . The name is used in the qualitative classification
of nearly flat tetrahedra in tetrahedral
meshes .
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. https://people.eecs.berkeley.edu/~jrs/meshbook.html . Hannukainen,
A.; Korotov, S.; and Krížek, M. "On Synge-Type Angle Condition for
Appl. Math. 62 ,
1-13, 2017. https://doi.org/10.21136/AM.2017.0132-16 .
Cite this as:
Weisstein, Eric W. "Spade Tetrahedron."
From MathWorld https://mathworld.wolfram.com/SpadeTetrahedron.html
Subject classifications
-Simplices." Appl. Math. 62,
1-13, 2017.