Triakis icosahedral tegum

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Triakis icosahedral tegum
Rank4
TypeUniform dual
Notation
Coxeter diagramm2m5m3o ()
Elements
Cells120 sphenoids
Faces60+60 isosceles triangles, 120 scalene triangles
Edges24+30+40+60
Vertices2+12+20
Vertex figure2 triakis icosahedra, 12 decagonal tegums, 20 triangular tegums
Measures (edge length 1)
Central density1
Related polytopes
DualTruncated dodecahedral prism
ConjugateGreat triakis icosahedral tegum
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryH3×A1, order 240
ConvexYes
NatureTame

The triakis icosahedral tegum, also known as the triakis icosahedral bipyramid, is a convex isochoric polychoron with 120 sphenoids as cells. As the name suggests, it can be constructed as a tegum based on the triakis icosahedron.

In the variant obtained as the dual of the uniform truncated dodecahedral prism, if the short edges of the triakis icosahedron have length 1, its height is .