Tetrakis hexahedral tegum

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Tetrakis hexahedral tegum
Rank4
TypeUniform dual
Notation
Coxeter diagramm2o4m3m
Elements
Cells48 sphenoids
Faces24+24 isosceles triangles, 48 scalene triangles
Edges12+12+16+24
Vertices2+6+8
Vertex figure2 tetrakis hexahedra, 8 hexagonal tegums, 6 octahedra
Measures (edge length 1)
Dichoral angle
Central density1
Related polytopes
DualTruncated octahedral prism
ConjugateNone
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryB3×A1, order 96
ConvexYes
NatureTame

The tetrakis hexahedral tegum, also called the tetrakis hexahedral bipyramid, is a convex isochoric polychoron with 48 sphenoids as cells. As the name suggests, it is a tegum based on the tetrakis hexahedron.

In the variant obtained as the dual of the uniform truncated octahedral prism, if the tetrakis hexahedron's short edge has length 1, its height is .