Octahexadecahemihexadecachoron

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Octahexadecahemihexadecachoron
Rank4
TypeUniform
Notation
Bowers style acronymOhuhoh
Elements
Cells
Faces
Edges96
Vertices24
Measures (edge length 1)
Circumradius1
Dichoral angleThah–3–thah: 120°
Thah–4–co: 90°
Oct–3–co: 60°
Number of external pieces328
Level of complexity21
Related polytopes
ArmyIco
RegimentIco
ConjugateNone
Abstract & topological properties
Flag count1920
Euler characteristic40
OrientableNo
Properties
SymmetryB4, order 384
Flag orbits5
ConvexNo
NatureWild

The octahexadecahemihexadecachoron, or ohuhoh, is a nonconvex uniform polychoron. It consists of 8 octahedra, 16 tetrahemihexahedra, and 8 central cuboctahedra, with 4 tetrahemihexahedra, 2 octahedra, and 4 cuboctahedra 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]