Great retrofrustary hexacositrishecatonicosachoron

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Great retrofrustary hexacositrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGirfixthi
Coxeter diagramx3o5/2x5o3/2*a3*c
Elements
Cells600 octahedra, 120 dodecadodecahedra, 120 great icosicosidodecahedra, 120 small icosicosidodecahedra
Faces2400+2400 triangles, 1440 pentagons, 1440 pentagrams, 2400 hexagons
Edges7200+7200
Vertices3600
Vertex figureSemicrossed rectangular frustum, edge lengths 1 (top square), (1+5)/2 and (5–1)/2 (base rectangle), and 3 (sides)
Measures (edge length 1)
Circumradius
Hypervolume2475
Dichoral anglesDid–5–giid: 144°
 Oct–3–siid:
 Did–5/2–siid: 108°
 Giid–6–siid: 60°
 Oct–3–giid:
Related polytopes
ArmySemi-uniform Xhi, edge lengths (pentagons), (triangles)
RegimentAffixthi
ConjugateGreat retrofrustary hexacositrishecatonicosachoron
Abstract & topological properties
Flag count172800
Euler characteristic–1680
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The great retrofrustary hexacositrishecatonicosachoron, or girfixthi, is a nonconvex uniform polychoron that consists of 600 octahedra, 120 dodecadodecahedra, 120 great icosicosidodecahedra, and 120 small icosicosidodecahedra. 1 octahedron, 1 dodecadodecahedron, 2 great icosicosidodecahedra, and 2 small icosicosidodecahedra join at each vertex.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the antifrustary hexacositrishecatonicosachoron.

External links[edit | edit source]