Grand hecatonicosintercepted trishecatonicosachoron

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Grand hecatonicosintercepted trishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGahinathi
Elements
Cells120 dodecadodecahedra, 120 quasitruncated small stellated dodecahedra, 120 quasirhombicosidodecahedra, 120 great quasitruncated icosidodecahedra
Faces1200 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams, 1200 hexagons, 1440 decagrams
Edges3600+7200
Vertices3600
Vertex figureWindowed wedge, edge lengths 1 (1), 2 (4), (1+5)/2 (2), (5–1)/2 (2), 3 (2), and (5–5)/2 (4)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesQrid–3–qrid: 120°
 Did–5–quit sissid: 108°
 Qrid–4–gaquatid: 90°
 Qrid–5/2–did: 72°
 Gaquatid–6–gaquatid: 60°
 Quit sissd–10/3–gaquatid: 36°
Related polytopes
ArmySemi-uniform srix
RegimentGwavathi
ConjugateSmall dishecatonicosintercepted dishecatonicosachoron
Abstract & topological properties
Euler characteristic2640
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The grand hecatonicosintercepted trishecatonicosachoron, or gahinathi, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra, 120 quasirhombicosidodecahedra, 120 quasitruncated small stellated dodecahedra, and 120 great quasitruncated icosidodecahedra. One dodecadodecahedron, two quasirhombicosidodecahedra, two quasitruncated small stellated dodecahedra, and four great quasitruncated icosidodecahedra join at each vertex.

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]