Medial rotational 8-3 bigyrochoron

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Medial rotational 8-3 bigyrochoron
Rank4
TypeIsotopic
Elements
Cells16 20-vertex dodecahedra
Faces16+16 scalene triangles, 16 irregular tetragons, 8 kites, 16 irregular hexagons, 8 mirror-symmetric hexagons, 16 irregular enneagons
Edges16+16+16+16+16+16+16+16+16+16
Vertices8+8+16+16+16+16
Vertex figure16+16 irregular tetrahedra, 8+8+16 phyllic disphenoids, 16 sphenoids
Measures (edge length 1)
Central density1
Related polytopes
DualMedial rotational 8-3 double step prism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryS2(I2(8)+-3)×2, order 16
ConvexYes
NatureTame

The medial rotational 8-3 bigyrochoron, also known as the cracked 16, is a convex isochoric polychoron with 16 identical cells.

Each cell of this polychoron is completely asymmetric, with 2 irregular enneagons, 1 mirror-symmetric hexagon, 2 irregular hexagons, 1 kite, 2 irregular tetragons, and 4 scalene triangles for faces.

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