Medial ditrigonary hecatonicosihexacosihecatonicosihecatonicosachoron

Medial ditrigonary hecatonicosihexacosihecatonicosihecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Midthixhihy
Elements
Cells	120 raded, 120 sidditdid, 120 giid, 600 oho
Faces	4800 triangles, 1800 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagons
Edges	7200
Vertices	1200
Measures (edge length 1)
Circumradius	${\sqrt {3}}\approx 1.73205$
Related polytopes
Army	Rahi
Regiment	Rissidtixhi
Conjugate	Gadthixhihy
Abstract & topological properties
Euler characteristic	5640
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The medial ditrigonary hecatonicosihexacosihecatonicosihecatonicosachoron, or midthixhihy, is a nonconvex uniform polychoron that consists of 120 rhombidodecadodecahedra, 120 small ditrigonal dodecicosidodecahedra, 120 great icosicosidodecahedra, and 600 octahemioctahedra. Six rhombidodecadodecahedra, six small ditrigonal dodecicosidodecahedra, six great icosicosidodecahedra, and six octahemioctahedra join at each vertex.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the rectified small ditrigonary hexacosihecatonicosachoron.

External links

• Bowers, Jonathan. "Category 23: Rissidtixhi Regiment" (#1231).