Medial bicrystallorthotetracontoctachoron

From Polytope Wiki
Jump to navigation Jump to search
Medial bicrystallorthotetracontoctachoron
Rank4
TypeIsotopic
Elements
Cells1152 8-vertex heptahedra
Faces1152+1152 scalene triangles, 1152 kites, 576 mirror-symmetric hexagons
Edges288+384+384+576+1152+1152
Vertices48+144+192+288+384
Vertex figure48 tetrakis hexahedra, 144 square antitegums, 288 digonal scalenohedra, 192 triangular tegums, 384 semibisected trigonal trapezohedra
Measures (edge length 1)
Central density1
Related polytopes
DualMedial biprismatorhombatotetracontoctachoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryF4×2, order 2304
ConvexYes
NatureTame

The medial bicrystallorthotetracontoctachoron is a convex isochoric polychoron with 1152 identical cells. It can be obtained as the dual of the medial biprismatorhombatotetracontoctachoron.

Each cell of this polychoron has mirror symmetry, with 1 hexagon, 2 tetragons, and 4 triangles for faces.