Small hexacosifaceted hexacosidishecatonicosachoron

The small hexacosifaceted hexacosidishecatonicosachoron, or six fixady, is a nonconvex uniform polychoron that consists of 120 great stellated dodecahedra, 600 truncated tetrahedra, and 120 small icosicosidodecahedra. One great stellated dodecahedron, three truncated tetrahedra, and three small icosicosidodecahedra join at each vertex.

Small hexacosifaceted hexacosidishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSix fixady
Elements
Cells600 truncated tetrahedra, 120 great stellated dodecahedra, 120 small icosicosidodecahedra
Faces2400 triangles, 1440 pentagrams, 2400 hexagons
Edges3600+3600
Vertices2400
Vertex figureTriangular hemiantipodium, edge lengths (5–1)/2 (top triangle), 1 (base pseudo-triangle), and 3 (sides)
Measures (edge length 1)
Circumradius
Dichoral anglesSiid–6–tut:
 Siid–5/2–gissid: 72°
 Siid–3–tut:
Number of external pieces294120
Level of complexity925
Related polytopes
ArmySemi-uniform Sidpixhi
RegimentSadixady
ConjugateGreat hexacosifaceted hexacosidishecatonicosachoron
Abstract & topological properties
Euler characteristic600
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

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

Gallery Edit

 


Vertex coordinates Edit

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

External links Edit