Small hexadecahemihexadecachoron

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Small hexadecahemihexadecachoron
Rank4
TypeUniform
Notation
Bowers style acronymShahoh
Elements
Cells
Faces
Edges96
Vertices24
Vertex figureInverted square prism, edge lengths 1 (base and sides of prism) and 2 (diagonal side edges)
Measures (edge length 1)
Circumradius1
Hypervolume
Dichoral angleOct–3–oct: 120°
Oho–6–oho: 120°
Oct–3–oho: 60°
Number of external pieces80
Level of complexity6
Related polytopes
ArmyIco
RegimentIco
ConjugateNone
Abstract & topological properties
Flag count1536
Euler characteristic16
OrientableYes
Properties
SymmetryB4, order 384
Flag orbits4
ConvexNo
NatureTame

The small hexadecahemihexadecachoron, or shahoh, is a nonconvex uniform polychoron. It consists of 16 octahedra and 8 central octahemioctahedra, with 4 octahedra and 4 octahemioctahedra at each vertex.

As well as being isogonal, it is also isotoxal.

Gallery[edit | edit source]

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the icositetrachoron.

External links[edit | edit source]