Tridecahedral pentacosiheptacontahexachoron

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Tridecahedral pentacosiheptacontahexachoron
Rank4
TypeIsotopic
Elements
Cells576 16-vertex tridecahedra
Faces288 isosceles triangles, 576 scalene triangles, 576+576+576+576 irregular tetragons, 288 mirror-symmetric hexagons, 288 mirror-symmetric heptagons
Edges144+192+192+576+576+576+576+576+576+576+576
Vertices48+192+288+288+576+576
Vertex figure48 tetartoids, 192 chiral triangular antitegums, 288 digonal-rhombic gyronotches, 288 phyllic disphenoids, 576+576 irregular tetrahedra
Measures (edge length 1)
Central density1
Related polytopes
DualGyrowedged omnisnub bitetrahedral tetracontoctachoron
Abstract & topological properties
Flag count62208
Euler characteristic0
OrientableYes
Properties
SymmetryA3●B3, order 576
ConvexYes
NatureTame

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

Each cell of this polychoron is completely asymmetric, with 1 heptagon, 1 hexagon, 8 tetragons, and 3 triangles for faces.