Heptadecahedral pentacosiheptacontahexachoron

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Heptadecahedral pentacosiheptacontahexachoron
Rank4
TypeIsotopic
Elements
Cells576 28-vertex hepadecahedra
Faces576 scalene triangles, 288+288+288+288 kites, 576+576+576 irregular tetragons, 576 irregular pentagons, 576 irregular heptagons, 288 mirror-symmetric dodecagons
Edges192+192+576+576+576+576+576+576+576+576+576+576+576+576+576
Vertices48+144+192+288+288+288+576+576+576+576
Vertex figure48 tetartoids, 192 chiral triangular antitegums, 144 rhombic disphenoids, 288+288+288 phyllic disphenoids, 576+576+576+576 irregular tetrahedra (four types)
Measures (edge length 1)
Central density1
Related polytopes
DualGreat disphenoidal omnisnub bitetrahedral tetracontoctachoron
Abstract & topological properties
Flag count94464
Euler characteristic0
OrientableYes
Properties
SymmetryA3●B3, order 576
ConvexYes
NatureTame

The heptadecahedral pentacosiheptacontahexachoron is a convex isochoric polychoron with 576 identical cells. It can be obtained as the dual of the great disphenoidal omnisnub bitetrahedral tetracontoctachoron.

Each cell of this polychoron is completely asymmetric, with 1 dodecagon, 2 heptagons, 2 pentagons, 10 tetragons, and 2 triangles for faces.