Triakis tetrahedral tegum

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.

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

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 .