Pentakis triacontaditeron

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Pentakis triacontaditeron
Rank5
TypeUniform dual
Notation
Coxeter diagramm4m3o3o3o
Elements
Tera160 tetrahedral pyramids
Cells80 tetrahedra, 320 triangular pyramids
Faces80 triangles, 320 isosceles triangles
Edges40+160
Vertices10+32
Vertex figure10 tetrakis hexadecachora, 32 pentachora
Measures (edge length 1)
Central density1
Related polytopes
DualTruncated penteract
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
SymmetryBC5, order 3840
ConvexYes
NatureTame

The pentakis triacontaditeron, also known as the tetrahedral-pyramidal hecatonhexacontateron, is a convex isoteric polyteron with 160 identical tetrahedral pyramids as tera. It can be obtained as the dual of the truncated penteract.