Medial ditrigonary hecatonicosihexacosidishecatonicosachoron

Medial ditrigonary hecatonicosihexacosidishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Midthixady
Elements
Cells	120 sidtid, 120 raded, 120 giid, 600 oho
Faces	4800 triangles, 1800 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons
Edges	7200
Vertices	1200
Measures (edge length 1)
Circumradius	${\sqrt {3}}\approx 1.73205$
Related polytopes
Army	Rahi
Regiment	Rissidtixhi
Conjugate	Gadthixady
Abstract & topological properties
Euler characteristic	4920
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The medial ditrigonary hecatonicosihexacosidishecatonicosachoron, or midthixady, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra, 120 rhombidodecadodecahedra, 120 great icosicosidodecahedra, and 600 octahemioctahedra. Two small ditrigonary icosidodecahedra, six rhombidodecadodecahedra, 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" (#1224).