Small pental dishecatonicosintercepted hecatonicosachoron

From Polytope Wiki
Jump to navigation Jump to search
Small pental dishecatonicosintercepted hecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSpidhiny
Elements
Cells120 ike, 120 giid, 120 quit sissid
Faces2400 triangles, 1440 pentagons, 1200 hexagons, 720 decagrams
Edges3600
Vertices720
Measures (edge length 1)
Circumradius
Number of external pieces41040
Level of complexity89
Related polytopes
ArmyRox
RegimentRagishi
ConjugateGirphinady
Convex coreHecatonicosachoron
Abstract & topological properties
Euler characteristic2520
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small pental dishecatonicosintercepted hecatonicosachoron, or spidhiny, is a nonconvex uniform polychoron that consists of 120 icosahedra, 120 great icosicosidodecahedra, and 120 quasitruncated small stellated dodecahedra. Two icosahedra, ten great icosicosidodecahedra, and ten quasitruncated small stellated dodecahedra join at each vertex.

Gallery[edit | edit source]

Vertex coordinates[edit | edit source]

The vertices are the same as those of the regiment colonel, the rectified great stellated hecatonicosachoron.

External links[edit | edit source]