Medial bimetatetracontoctachoron

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Medial bimetatetracontoctachoron
Rank4
TypeIsotopic
Elements
Cells1152 monotruncated kite pyramids
Faces576 isosceles triangles, 1152 scalene triangles, 1152 kites, 576 mirror-symmetric pentagons
Edges192+288+384+1152+1152
Vertices48+144+288+384
Vertex figure48 triakis octahedra, 144 tetragonal scalenohedra, 384 semibisected trigonal trapezohedra, 288 tetragonal disphenoids
Measures (edge length 1)
Central density1
Related polytopes
DualMedial bicantitruncatotetracontoctachoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryF4×2, order 2304
ConvexYes
NatureTame

The medial bimetatetracontoctachoron is a convex isochoric polychoron with 1152 monotruncated kite pyramids as cells. It can be obtained as the dual of the medial bicantitruncatotetracontoctachoron.

Each cell of this polychoron has mirror symmetry, with 1 pentagon, 2 tetragons, and 3 triangles for faces.