Icositetrintercepted icositetrachoron

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.

Icositetrintercepted icositetrachoron
Ini-slices.gif
Rank4
TypeUniform
SpaceSpherical
Notation
Bowers style acronymIni
Elements
Cells24 cuboctahedra, 24 truncated octahedra
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 anglesCo–3–co: 120°
 Co–4–toe: 90°
 Toe–6–toe: 60°
Number of pieces168 loc=6
Related polytopes
ArmyRico
RegimentRico
ConjugateNone
Convex coreIcositetrachoron
Abstract properties
Euler characteristic96
Topological properties
OrientableYes
Properties
SymmetryF4, order 1152
ConvexNo
NatureWild

It is wild because it has cuboctahedra intercepted by hexagons.

Cross-sectionsEdit

 

Vertex coordinatesEdit

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

External linksEdit

  • Klitzing, Richard. "ini".