Retroinverted prismatoicositetrachoron

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Retroinverted prismatoicositetrachoron
Rank4
TypeUniform
Notation
Bowers style acronymRipi
Elements
Cells24 querco, 96 trip
Faces192 triangles, 360 squares
Edges576
Vertices144
Measures (edge length 1)
Circumradius
Related polytopes
ArmySpic
RegimentGiddic
ConjugateIpi
Abstract & topological properties
Euler characteristic0
OrientableNo
Properties
SymmetryF4, order 1152
ConvexNo
NatureTame

The retroinverted prismatoicositetrachoron, or ripi, is a nonconvex uniform polychoron that consists of 24 quasirhombicuboctahedra and 96 triangular prisms. Four quasirhombicuboctahedra and four triangular prisms join at each vertex.

It can be constructed as the blend of 3 qrit, with the oct cells blending out.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the great distetracontoctachoron.

External links[edit | edit source]