Prismatointercepted hexacosidishecatonicosachoron

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Prismatointercepted hexacosidishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymPinxady
Elements
Cells600 octahedra, 720 decagrammic prisms, 120 quasitruncated great stellated dodecahedra, 120 quasirhombicosidodecahedra
Faces2400+2400 triangles, 1800+3600 squares, 720 pentagrams, 1440 decagrams
Edges3600+7200
Vertices3600
Vertex figureWindowed wedge, edge lengths 1 (4), 2 (6), (5–1)/2 (1), and (5–5)/2 (4)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesQrid–4–stiddip:
 Oct–3–quit gissid:
 Qrid–3–oct:
 Qrid–5/2–qrid: 72°
 Quit gissid–10/3–stiddip: 54°
 Stiddip–4–stiddip:
Related polytopes
ArmySemi-uniform srix
RegimentGwavixady
ConjugatePrismatohecatonicosintercepted hexacosihecatonicosachoron
Abstract & topological properties
Euler characteristic3600
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The prismatointercepted hexacosidishecatonicosachoron, or pinxady, is a nonconvex uniform polychoron that consists of 600 octahedra, 120 quasirhombicosidodecahedra, 120 quasitruncated great stellated dodecahedra, and 720 decagrammic prisms. One octahedron, two quasirhombicosidodecahedra, two quasitruncated great stellated dodecahedra, and four decagrammic prisms join at each vertex.

Vertex coordinates[edit | edit source]

The vertices are the same as those of the regiment colonel, the great sphenoverted hexacosidishecatonicosachoron.

External links[edit | edit source]