Octadishemioctachoron

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Octadishemioctachoron
Rank4
TypeUniform
Notation
Bowers style acronymOdho
Elements
Cells
Faces
Edges96
Vertices24
Vertex figureCrossed bowtie prism, edge lengths 1 (bases of bowties), 2 (diagonal edges of bowties), and 3 (side edges)
Measures (edge length 1)
Circumradius
Dichoral angleOho–6–cho: 120°
Thah–4–cho: 90°
Thah–3–oho: 60°
Number of external pieces160
Level of complexity20
Related polytopes
ArmyIco
RegimentIco
ConjugateNone
Abstract & topological properties
Flag count1152
Euler characteristic–16
OrientableNo
Properties
SymmetryD4, order 192
Flag orbits6
ConvexNo
NatureTame

The octadishemioctachoron, or odho, is a uniform polychoron. It has 8 tetrahemihexahedra, 4 central octahemioctahedra, and 4 central cubohemioctahedra, with 2 of each 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]