Transitional intersected decahedral pentacosiheptacontahexachoron

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Transitional intersected decahedral pentacosiheptacontahexachoron
Rank4
TypeIsochoric
Elements
Cells576 11-vertex decahedra
Faces288 isosceles triangles, 576 scalene triangles, 288+288 kites, 576+576 irregular tetragons, 288 mirror-symmetric pentagons
Edges192+192+288+576+576+576+576+576
Vertices48+144+192+288+576
Vertex figure48 tetartoids, 192 gyratotristellated dodecahedra, 144 rhombic disphenoids, 288 phyllic disphenoids, 576 irregular tetrahedra
Measures (edge length 1)
Central density1
Related polytopes
DualTriangular transitional omnisnub bitetrahedral tetracontoctachoron
Abstract & topological properties
Flag count43776
Euler characteristic0
OrientableYes
Properties
SymmetryA3●B3, order 576
ConvexYes
NatureTame

The transitional intersected decahedral pentacosiheptacontahexachoron is a convex isochoric polychoron with 576 identical cells. It can be obtained as the dual of the triangular transitional omnisnub bitetrahedral tetracontoctachoron.

Each cell of this polychoron is completely asymmetric, with 1 pentagon, 6 tetragons, and 3 triangles for faces.