Medial biorthotetracontoctachoron

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Medial biorthotetracontoctachoron
Rank4
TypeIsotopic
Elements
Cells576 paratetratruncated kite bipyramids
Faces576+1152 kites, 1152 irregular tetragons
Edges288+384+576+1152+1152
Vertices48+144+192+288+576
Vertex figure48 rhombic dodecahedra, 144 square antitegums, 192 triangular tegums, 576 rhombic pyramids, 288 tetragonal disphenoids
Measures (edge length 1)
Central density1
Related polytopes
DualMedial birhombatotetracontoctachoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryF4×2, order 2304
ConvexYes
NatureTame

The medial biorthotetracontoctachoron is a convex isochoric polychoron with 576 paratetratruncated kite bipyramids as cells. It can be obtained as the dual of the medial birhombatotetracontoctachoron.

Each cell of this polychoron has digonal symmetry, with 24+4 tetragons for faces.