Pentadecahedral hecatonenneacontadichoron

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Pentadecahedral hecatonenneacontadichoron
Rank4
TypeIsotopic
Elements
Cells192 26-vertex pentadecahedra
Faces576 irregular tetragons, 288 kites, 288 mirror-symmetric hexagons, 288 mirror-symmetric octagons
Edges192+576+576+576+576
Vertices48+144+192+288+576
Vertex figure576 irregular tetrahedra, 288 phyllic disphenoids, 192 triangular pyramids, 144 rhombic disphenoids, 48 tetrahedra
Measures (edge length 1)
Central density1
Related polytopes
DualBitetrahedral tetracontoctachoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryA3●B3, order 576
ConvexYes
NatureTame

The pentadecahedral hecatonenneacontadichoron is a convex isochoric polychoron with 192 identical cells. It can be obtained as the dual of the bitetrahedral tetracontoctachoron.

Each cell of this polychoron has chiral triangular pyramidal symmetry, with 3 mirror-symmetric octagons, 3 mirror-symmetric hexagons, 3 kites, and 6 irregular tetragons for faces.