Cubic transitional intersected biomnistellatotetracontoctachoron

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Cubic transitional intersected biomnistellatotetracontoctachoron
Rank4
TypeIsotopic
Elements
Cells2304 irregular tetrahedra
Faces1152+1152+1152 scalene triangles, 1152 isosceles triangles
Edges144+384+576+576+1152
Vertices48+192+288
Vertex figure288 digonal scalneohedra, 192 triambic tegums, 48 orthostellated ditriakis octahedra
Measures (edge length 1)
Central density1
Related polytopes
DualCubic transitional biomnitruncatotetracontoctachoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryF4×2, order 2304
ConvexYes
NatureTame

The cubic transitional intersected biomnistellatotetracontoctachoron is a convex isochoric polychoron with 2304 irregular tetrahedra as cells. It can be obtained as the dual of the cubic transitional biomnitruncatotetracontoctachoron.

Each cell of this polychoron is completely asymmetric, with 1 isosceles triangle and 3 scalene triangles for faces.