Small spinohecatonicosidishexacosichoron

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Small spinohecatonicosidishexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymSanhiddix
Elements
Cells600 tetrahedra, 600 truncated tetrahedra, 120 small dodecicosahedra
Faces2400 triangles, 2400 hexagons, 720 decagons
Edges3600+3600
Vertices2400
Vertex figureTriangular corwn, edge lengths 1 (top triangle), 3 (side edges of triangles). and (5+5)/2 (edges between butterflies)
Measures (edge length 1)
Circumradius
Dichoral anglesTet–3–tut:
 Siddy–6–tut:
 Siddy–10–siddy: 72°
Number of external pieces193800
Level of complexity625
Related polytopes
ArmySemi-uniform Sidpixhi
RegimentSadixady
ConjugateGreat spinohecatonicosidishexacosichoron
Abstract & topological properties
Euler characteristic–600
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small spinohecatonicosidishexacosichoron, or sanhiddix, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 600 truncated tetrahedra, and 120 small dodecicosahedra. One tetrahedron, three truncated tetrahedra, and three small dodecicosahedra join at each vertex.

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 small dishexacosidishecatonicosachoron.

External links[edit | edit source]