Decahedral pentacosiheptacontahexachoron

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Decahedral pentacosiheptacontahexachoron
Rank4
TypeIsotopic
Elements
Cells576 11-vertex decahedra
Faces576 scalene triangles, 288+288+288+288 kites, 576+576 irregular tetragons
Edges192+192+192+576+576+576+576+576
Vertices48+144+192+192+288+288
Vertex figure48 triakis tetrahedra, 192 triangular-triambic gyronotches, 192 chiral triangular antitegums, 144 rhombic disphenoids, 288+288 phyllic disphenoids
Measures (edge length 1)
Central density1
Related polytopes
DualBitruncatotetrahedral tetracontoctachoron
Abstract & topological properties
Flag count43776
Euler characteristic0
OrientableYes
Properties
SymmetryA3●B3, order 576
ConvexYes
NatureTame

The decahedral pentacosiheptacontahexachoron is a convex isochoric polychoron with 576 identical cells. It can be obtained as the dual of the bitruncatotetrahedral tetracontoctachoron.

Each cell of this polychoron is completely asymmetric, with 2 triangles and 8 tetragons for faces.