Rectified grand stellated hecatonicosachoron

The rectified grand stellated hecatonicosachoron, or ragashi, is a nonconvex uniform polychoron that consists of 120 great dodecahedra and 120 dodecadodecahedra. Two great dodecahedra and five dodecadodecahedra join at each pentagrammic prismatic vertex. As the name suggests, it can be obtained by rectifying the grand stellated hecatonicosachoron.

Rectified grand stellated hecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymRagashi
Coxeter diagramo5/2x5o5/2o ()
Elements
Cells
Faces
Edges3600
Vertices720
Vertex figureSemi-uniform pentagrammic prism, edge lengths (1+5)/2 (base) and (5–1)/2 (side)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral angleGad–5–did: 108°
Did–5/2–did: 72°
Central density66
Number of external pieces37440
Level of complexity128
Related polytopes
ArmyRox
RegimentRagishi
ConjugateRectified great hecatonicosachoron
Convex coreHecatonicosachoron
Abstract & topological properties
Flag count43200
Euler characteristic–960
OrientableYes
Properties
SymmetryH4, order 14400
Flag orbits3
ConvexNo
NatureTame

Gallery edit

 

 

Vertex coordinates edit

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

Related polytopes edit

The rectified grand stellated hecatonicosachoron is the base of the 5D scaliform rectified grand stellated hecatonicosachoric alterprism.

External links edit