Triakis tetrahedral tegum

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Triakis tetrahedral tegum
Rank4
TypeUniform dual
Notation
Coxeter diagramm2m3m3o
Elements
Cells24 sphenoids
Faces12+12 isosceles triangles, 24 scalene triangles
Edges6+8+8+12
Vertices2+4+4
Vertex figure2 triakis tetrahedra, 4 hexagonal tegums, 4 triangular tegums
Measures (edge length 1)
Central density1
Related polytopes
DualTruncated tetrahedral prism
ConjugateNone
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryA3×A1, order 48
ConvexYes
NatureTame

The triakis tetrahedral tegum, also called the triakis tetrahedral bipyramid, is a convex isochoric polychoron with 24 sphenoids as cells. As the name suggests, it can be constructed as a tegum based on the triakis tetrahedron.

In the variant obtained as the dual of the uniform truncated tetrahedral prism, if the triakis tetrahedron's short edge has length 1, its height is .