Great rotational 8-3 double step prism

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Great rotational 8-3 double step prism
Rank4
TypeIsogonal
SpaceSpherical
Elements
Cells16+16 irregular tetrahedra, 8+8+16 phyllic disphenoids, 16 sphenoids
Faces16+16+16+16+16+16+16+16 scalene triangles, 16 isosceles triangles, 16 triangles
Edges8+8+16+16+16+16+16
Vertices16
Vertex figure12-vertex polyhedron with 20 triangular faces
Measures (edge length 1)
Central density1
Related polytopes
DualGreat rotational 8-3 bigyrochoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryS2(I2(8)+-3)×2, order 16
ConvexYes
NatureTame

The great rotational 8-3 double step prism is a convex isogonal polychoron that consists of 16 sphenoids, 32 phyllic disphenoids of three kinds and 32 irregular tetrahedra of two kinds. 4 sphenoids, 8 phyllic disphenoids and 8 irregular tetrahedra join at each vertex. It can be obtained as one of several polychora formed as the convex hull of two orthogonal 8-3 step prisms.

This polychoron cannot be optimized using the ratio method, because the solutions lead to degenerate polytopes or the tesseract instead.

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