Small hexacosifaceted trishecatonicosachoron

From Polytope Wiki
(Redirected from Saxifthi)
Jump to navigation Jump to search
Small hexacosifaceted trishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSaxifthi
Elements
Cells120 great stellated dodecahedra, 120 truncated dodecahedra, 120 small ditrigonal dodecicosidodecahedra
Faces2400 triangles, 1440 pentagrams, 1440 decagons
Edges3600+3600
Vertices2400
Vertex figureTriangular hemipodium, edge lengths (5–1)/2 (top triangle), 1 (base pseudo-triangle), and (5+5)/2 (sides)
Measures (edge length 1)
Circumradius
Dichoral anglesSidditdid–5/2–gissid: 144°
 Sidditdid–10–tid: 108°
 Sidditdid–3–tid: 60°
Number of external pieces82200
Level of complexity341
Related polytopes
ArmySemi-uniform Sidpixhi, edge lengths (dodecahedra), 1 (tetrahedra)
RegimentShihix
ConjugateGreat hexacosifaceted trishecatonicosachoron
Abstract & topological properties
Flag count115200
Euler characteristic120
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The small hexacosifaceted trishecatonicosachoron, or saxifthi, is a nonconvex uniform polychoron that consists of 120 small ditrigonal dodecicosidodecahedra, 120 great stellated dodecahedra, and 120 truncated dodecahedra. Three small ditrigonal dodecicosidodecahedra, one great stellated dodecahedron, and three truncated dodecahedra join at each vertex.

It also has 600 tetrahedra and 120 truncated great dodecahedra as pseudofacets.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the small hecatonicosihecatonicosihexacosichoron.

External links[edit | edit source]