Hecatonicosintercepted hecatonicosachoron

Hecatonicosintercepted hecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Hinhi
Elements
Cells	120 dodecadodecahedra, 120 truncated icosahedra
Faces	1440 pentagons, 720 pentagrams, 1200 hexagons
Edges	3600
Vertices	1200
Vertex figure	Triangular toroprism, edge lengths (1+√5)/2 (base edges), (√5-1)/2 (side edges of rectangles), and √3 (side edges of triangles)
Edge figure	did 5/2 did 5 ti 6 ti 6 ti 5
Measures (edge length 1)
Circumradius	$\frac{\sqrt3+\sqrt{15}}{2} ≈ 2.80252$
Hypervolume	$15\frac{355+147\sqrt5}{4} ≈ 2563.88247$
Dichoral angles	Did–5/2–did: 144°
	Did–5–ti: 72°
	Ti–6–ti: 60°
Number of pieces	7320
Level of complexity	22
Related polytopes
Army	Rahi
Regiment	Rasishi
Conjugate	Medial hecatonicosintercepted hecatonicosachoron
Convex core	Hecatonicosachoron
Abstract properties
Euler characteristic	720
Topological properties
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The hecatonicosintercepted hecatonicosachoron, or hinhi, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra and 120 truncated icosahedra. 3 dodecadodecahedra and 6 truncated 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 small stellated hecatonicosachoron.

External links

• Bowers, Jonathan. "Category 3: Triangular Rectates" (#53).

• Klitzing, Richard. "hinhi".