Octakis penteract

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Octakis penteract
Rank5
TypeUniform dual
Notation
Coxeter diagramo4o3o3m3m
Elements
Tera80 cubic pyramids
Cells240 square pyramids, 40 cubes
Faces320 isosceles triangles, 80 squares
Edges80+160
Vertices10+32
Vertex figure10 tesseracts, 32 tetrakis pentachora
Measures (edge length 1)
Central density1
Related polytopes
DualTruncated triacontaditeron
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
SymmetryBC5, order 3840
ConvexYes
NatureTame

The octakis penteract, also known as the cubic-pyramidal octacontateron, is a convex isoteric polyteron with 80 identical cubic pyramids as tera. It can be obtained as the dual of the truncated triacontaditeron.