Pentakis hexateron

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Pentakis hexateron
Rank5
TypeUniform dual
Notation
Coxeter diagramm3m3o3o3o ()
Elements
Tera30 tetrahedral pyramids
Cells15 tetrahedra, 60 triangular pyramids
Faces20 triangles, 60 isosceles triangles
Edges15+30
Vertices6+6
Vertex figure6 tetrakis pentachora, 6 pentachora
Measures (edge length 1)
Central density1
Related polytopes
DualTruncated hexateron
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
SymmetryA5, order 720
ConvexYes
NatureTame

The pentakis hexateron, also known as the tetrahedral-pyramidal triacontateron, is a convex isotopic 5-polytope with 30 identical tetrahedral pyramids as facets. It can be obtained as the dual of the truncated hexateron.