Faceted rectified icositetrachoron

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Faceted rectified icositetrachoron
Rank4
TypeUniform
Notation
Bowers style acronymFrico
Coxeter diagramx3x4o3/2o4*a (/2)
Elements
Cells
Faces144 squares, 96 hexagons
Edges288
Vertices96
Vertex figureTriangular retroprism, edge lengths 2 (base) and 3 (sides)
Edge figurecube 4 toe 6 toe 6 toe 4
Measures (edge length 1)
Circumradius
Hypervolume39
Dichoral angleToe–6–toe: 60°
Cube–4–toe: 45°
Central density5
Number of external pieces1032
Level of complexity23
Related polytopes
ArmyRico
RegimentRico
ConjugateNone
Convex coreIcositetrachoron
Abstract & topological properties
Flag count4608
Euler characteristic0
OrientableYes
Properties
SymmetryF4, order 1152
Flag orbits4
ConvexNo
NatureTame

The faceted rectified icositetrachoron, or frico, is a nonconvex uniform polychoron that consists of 24 cubes and 24 truncated octahedra. Two cubes and six truncated octahedra join at each vertex.

Gallery[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]