Grand dishecatonicosintercepted dishecatonicosachoron

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Grand dishecatonicosintercepted dishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGad hinady
Elements
Cells120 great icosidodecahedra, 120 truncated great dodecahedra, 120 small icosicosidodecahedra, 120 icosidodecatruncated icosidodecahedra
Faces2400 triangles, 720+1440 pentagrams, 2400 hexagons, 1440 decagons, 720 decagrams
Edges3600+7200
Vertices3600
Vertex figureInverted wedge, edge lengths 1 (2), (5–1)/2 (3), 3 (4), (5+5)/2 (4), and (5–5)/2 (2)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesSiid–3–gid: 120°
 Gid–5/2–tigid: 108°
 Siid–5/2–siid: 72°
 Idtid–10–tigid: 72°
 Siid–6–idtid: 60°
 Idtid–10/3–idtid: 36°
Related polytopes
ArmySemi-uniform srix
RegimentSwavathi
ConjugateSmall hecatonicosintercepted trishecatonicosachoron
Abstract & topological properties
Euler characteristic1440
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The grand dishecatonicosintercepted dishecatonicosachoron, or gad hinady, is a nonconvex uniform polychoron that consists of 120 great icosidodecahedra, 120 small icosicosidodecahedra, 120 truncated great dodecahedra, and 120 icosidodecatruncated icosidodecahedra. One great icosidodecahedron, two small icosicosidodecahedra, two truncated great dodecahedra, and four icosidodecatruncated icosidodecahedra join at each vertex.

Vertex coordinates[edit | edit source]

The vertices are the same as those of the regiment colonel, the small sphenoverted trishecatonicosachoron.

External links[edit | edit source]