Great hecatonicosafaceted hecatonicosihexacosihecatonicosachoron

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Great hecatonicosafaceted hecatonicosihexacosihecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGohi fohixhi
Elements
Cells600 tetrahedra, 120 quasitruncated small stellated dodecahedra, 120 great ditrigonal dodecicosidodecahedra
Faces2400 triangles, 1440 pentagons, 1440 pentagrams
Edges3600+3600
Vertices2400
Vertex figureTriangular hemiantipodium, edge lengths 1 (top triangle), (1+5)/2 (base pseudo-triangle), and (5–5)/2 (sides)
Measures (edge length 1)
Circumradius
Dichoral anglesGidditdid–10/3–quit sissid: 72°
 Gidditdid–3–tet:
 Gidditdid–5–quit sissid: 90°
Number of external pieces126600
Level of complexity349
Related polytopes
ArmySemi-uniform Sidpixhi
RegimentGixhidy
ConjugateSmall hecatonicosafaceted hecatonicosihexacosihecatonicosachoron
Abstract & topological properties
Euler characteristic–360
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The great hecatonicosafaceted hecatonicosihexacosihecatonicosachoron, or gohi fohixhi, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 120 quasitruncated small stellated dodecahedra, and 120 great ditrigonal dodecicosidodecahedra. One tetrahedron, three quasitruncated small stellated dodecahedra, and three great ditrigonal dodecicosidodecahedra join at each vertex.

It also has 120 quasitruncated great stellated dodecahedra and 120 dodecahedra as pseudofacets.

Gallery[edit | edit source]

Card with cell counts, vertex figure, and cross-sections.


Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the great hexacosihecatonicosidishecatonicosachoron.

External links[edit | edit source]