Small biomnistellatotetracontoctachoron

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Small biomnistellatotetracontoctachoron
Rank4
TypeIsotopic
Elements
Cells2304 irregular triangular prisms
Faces1152+1152 scalene triangles, 1152+1152 irregular tetragons, 1152 kites
Edges288+384+576+576+576+1152+1152
Vertices48+144+192+288+576
Vertex figure288+576 digonal scalenohedra, 192 triambic tegums, 144 square scalenohedra, 48 disdyakis dodecahedra
Measures (edge length 1)
Central density1
Related polytopes
DualSmall biomnitruncatotetracontoctachoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryF4×2, order 2304
ConvexYes
NatureTame

The small biomnistellatotetracontoctachoron is a convex isochoric polychoron with 2304 irregular triangular prisms as cells. It can be obtained as the dual of the small biomnitruncatotetracontoctachoron.

Each cell of this polychoron is completely asymmetric, with 1 kite, 2 irregular tetragons, and 2 scalene triangles for faces.