Medial hecatonicosafaceted prismatodishecatonicosachoron

Medial hecatonicosafaceted prismatodishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Mohi fipady
Coxeter diagram	x5/2x5o5/2x ()
Elements
Cells	720 pentagrammic prisms, 120 dodecahedra, 120 rhombidodecadodecahedra
Faces	3600 squares, 1440 pentagons, 1440 pentagrams
Edges	3600+3600
Vertices	2400
Vertex figure	Triangular hemiantipodium, edge lengths (1+√5)/2 (top triangle), (√5–1)/2 (bsae pseudo-triangle), and √2 (sides)
Measures (edge length 1)
Circumradius	2
Dichoral angles	Raded–4–stip: $\arccos \left(-{\sqrt {\frac {5+{\sqrt {5}}}{10}}}\right)\approx 148.28253^{\circ }$
	Raded–5/2–stip: 126°
	Raded–5–doe: 108°
Number of external pieces	145200
Level of complexity	381
Related polytopes
Army	Sidpixhi, edge length ${\frac {3-{\sqrt {5}}}{2}}$
Regiment	Siddapady
Conjugate	Hecatonicosafaceted prismatodishecatonicosachoron
Abstract & topological properties
Flag count	115200
Euler characteristic	720
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Tame

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

It also has 120 great stellated dodecahedra and 720 pentagonal 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" (#463).