Hecatonicosafaceted prismatodishecatonicosachoron

Hecatonicosafaceted prismatodishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Hi fipady
Elements
Cells	720 pentagonal prisms, 120 great stellated dodecahedra, 120 rhombidodecadodecahedra
Faces	3600 squares, 1440 pentagons, 1440 pentagrams
Edges	3600+3600
Vertices	2400
Vertex figure	Triangular hemiantipodium, edge lengths (√5–1)/2 (top triangle), (1+√5)/2 (base pseudo-triangle), and √2 (sides)
Measures (edge length 1)
Circumradius	2
Dichoral angles	Raded–4–pip: $\arccos\left(-\sqrt{\frac{5-\sqrt5}{10}}\right) ≈ 121.71747°$
	Raded–5/2–gissid: 36°
	Ided–5–pip: 18°
Number of external pieces	99720
Level of complexity	343
Related polytopes
Army	Sidpixhi
Regiment	Siddapady
Conjugate	Medial hecatonicosafaceted prismatodishecatonicosachoron
Abstract & topological properties
Euler characteristic	720
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Tame

The hecatonicosafaceted prismatodishecatonicosachoron, or hi fipady, is a nonconvex uniform polychoron that consists of 120 great stellated dodecahedra, 720 pentagonal prisms, and 120 rhombidodecadodecahedra. One great stellated dodecahedron, three pentagonal prisms, and three rhombidodecadodecahedra join at each vertex.

It also has 120 dodecahedra and 720 pentagrammic prisms as pseudofacets.

Gallery

Vertex coordinates

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

External links

• Bowers, Jonathan. "Category 11: Antipodiumverts" (#462).