Icositetrintercepted icositetrachoron

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Icositetrintercepted icositetrachoron
Rank4
TypeUniform
Notation
Bowers style acronymIni
Elements
Cells
Faces96 triangles, 144 squares, 96 hexagons
Edges288
Vertices96
Vertex figureTriangular toroprism, edge lengths 2 (base edges), 1 (side edges of rectaangles), and 3 (side edges of triangles)
Edge figureco 3 co 4 toe 6 toe 6 toe 4
Measures (edge length 1)
Circumradius
Hypervolume68
Dichoral angleCo–3–co: 120°
Co–4–toe: 90°
Toe–6–toe: 60°
Central density6
Number of external pieces168
Level of complexity6
Related polytopes
ArmyRico
RegimentRico
ConjugateNone
Convex coreIcositetrachoron
Abstract & topological properties
Flag count5760
Euler characteristic96
OrientableYes
Properties
SymmetryF4, order 1152
Flag orbits5
ConvexNo
NatureWild

The icositetrintercepted icositetrachoron, or ini, is a nonconvex uniform polychoron that consists of 24 cuboctahedra and 24 truncated octahedra. 3 cuboctahedra and 6 truncated octahedra join at each vertex.

It is wild because it has cuboctahedra intercepted by hexagons.

Cross-sections[edit | edit source]

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]

  • Klitzing, Richard. "ini".