Prismatointercepted prismatohexacosihecatonicosachoron

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Prismatointercepted prismatohexacosihecatonicosachoron
Rank4
TypeUniform
SpaceSpherical
Bowers style acronymPinpixhi
Elements
Vertex figureWindowed wedge, edge lengths 1 (4), 2 (6), (1+5)/2 (1), and (5+5)/2 (4)
Cells1200 triangular prisms, 600 octahedra, 720 decagonal prisms, 120 small dodecicosidodecahedra
Faces2400+2400 triangles, 1800+3600 squares, 720 pentagons, 1440 decagons
Edges3600+7200
Vertices3600
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesOct–3–trip:
 Saddid–10–dip: 162°
 Saddid–3–oct:
 Dip–4–dip:
 Saddid–5–saddid: 144°
 Dip–4–trip:
Euler characteristic2520
Related polytopes
ArmySrahi
RegimentSrahi
ConjugateDisprismatointercepted hexacosihecatonicosachoron
Convex coreChamfered hecatonicosachoron
Topological properties
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The prismatointercepted prismatohexacosihecatonicosachoron, or pinpixhi, is a nonconvex uniform polychoron that consists of 600 octahedra, 120 small dodecicosidodecahedra, 1200 triangular prisms, and 720 decagonal prisms. One octahedron, two small dodecicosidodecahedra, two triangular prisms, and four decagonal prisms join at each vertex.

Vertex coordinates[edit | edit source]

The vertices are the same as those of the regiment colonel, the small rhombated hecatonicosachoron.

External links[edit | edit source]