Prismatoquasirhombated great faceted hexacosichoron

From Polytope Wiki
Jump to navigation Jump to search
Prismatoquasirhombated great faceted hexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymPaqrigafix
Coxeter diagramx5x5/3o3x ()
Elements
Cells1200 triangular prisms, 720 decagonal prisms, 120 truncated great dodecahedra, 120 quasirhombicosidodecahedra
Faces2400 triangles, 3600+3600 squares, 1440 pentagrams, 1440 decagons
Edges3600+7200+7200
Vertices7200
Vertex figureCrossed isosceles trapezoidal pyramid, base edge lengths 1, 2, (5–1)/2, 2; lateral edge lengths 2, 2, (5+5)/2, (5+5)/2
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesQrid–3–trip: 150°
 Qrid–5/2–tigid: 72°
 Qrid–4–dip:
 Tigid–10–dip: 54°
 Dip–4–trip:
Related polytopes
ArmySemi-uniform Grix
RegimentSipthi
ConjugateQuasiprismatorhombated faceted hexacosichoron
Abstract & topological properties
Euler characteristic–480
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The prismatoquasirhombated great faceted hexacosichoron, or paqrigafix, is a nonconvex uniform polychoron that consists of 1200 triangular prisms, 720 decagonal prisms, 120 truncated great dodecahedra, and 120 quasirhombicosidodecahedra. 1 triangular prism, 2 decagonal prisms, 1 quasirhombicosidodecahedron, and 1 truncated great dodecahedron join at each vertex. It can be obtained by quasiruncitruncating the great grand hecatonicosachoron.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the small prismatotrishecatonicosachoron.

External links[edit | edit source]