Medial hecatonicosintercepted hecatonicosachoron

Medial hecatonicosintercepted hecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Mohiny
Elements
Cells	120 dodecadodecahedra, 120 truncated great icosahedra
Faces	720 pentagons, 1440 pentagrams, 1200 hexagons
Edges	3600
Vertices	1200
Vertex figure	Triangular toroprism, edge lengths (√5-1)/2 (base edges), (1+√5)/2 (side edges of rectangles), and √3 (side edges of triangles)
Edge figure	did 5 did 5/2 tiggy 6 tiggy 6 tiggy 5/2
Measures (edge length 1)
Circumradius	$\frac{\sqrt{15}-\sqrt3}{2} ≈ 1.07047$
Hypervolume	$15\frac{355-147\sqrt5}{4} ≈ 98.61753$
Dichoral angles	Did–5–did: 72°
	Tiggy–6–tiggy: 60°
	Did–5/2–tiggy: 36°
Number of pieces	164800
Level of complexity	448
Related polytopes
Army	Rahi
Regiment	Ragaghi
Conjugate	Hecatonicosintercepted hecatonicosachoron
Convex core	Hecatonicosachoron
Abstract properties
Euler characteristic	720
Topological properties
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The medial hecatonicosintercepted hecatonicosachoron, or mohiny, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra and 120 truncated great icosahedra. 3 dodecadodecahedra and 6 truncated great icosahedra join at each vertex.

It is wild because it has dodecadodecahedra intercepted by hexagons.

Gallery

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the rectified great grand hecatonicosachoron.

External links

• Bowers, Jonathan. "Category 3: Triangular Rectates" (#56).

• Klitzing, Richard. "mohiny".