Faceted rectified great faceted hexacosichoron

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Faceted rectified great faceted hexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymFrogfix
Elements
Cells600 oct, 120 quit gissid
Faces3600 triangles, 720 decagrams
Edges3600
Vertices720
Vertex figurePentagrammic toroprism
Measures (edge length 1)
Circumradius
Number of external pieces569040
Level of complexity1470
Related polytopes
ArmyRox
RegimentRigfix
ConjugateRixhi
Convex coreHexacosichoron
Abstract & topological properties
Euler characteristic720
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The faceted rectified great faceted hexacosichoron, or frogfix, is a nonconvex uniform polychoron that consists of 600 octahedra and 120 quasitruncated great stellated dodecahedra. Five octahedra and ten quasitruncated great stellated dodecahedra join at each vertex.

It also has great icosahedra and great icosihemidodecahedra as pseudofacets.

Gallery[edit | edit source]

Card with cell counts, vertex figure, and cross-sections.

Vertex coordinates[edit | edit source]

The vertices are the same as those of the regiment colonel, the rectified great faceted hexacosichoron.

External links[edit | edit source]