Medial ditrigonary trishecatonicosihexacosichoron

Medial ditrigonary trishecatonicosihexacosichoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Middit thix
Elements
Cells	120 gid, 600 oct, 120 siid, 120 ri
Faces	4800 triangles, 1800 squares, 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	Gaddit thix
Abstract & topological properties
Euler characteristic	3480
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The medial ditrigonary trishecatonicosihexacosichoron, or middit thix, is a nonconvex uniform polychoron that consists of 120 great icosidodecahedra, 600 octahedra, 120 small icosicosidodecahedra, and 120 rhombicosahedra. Three great icosidodecahedra, three octahedra, six small icosicosidodecahedra, and six rhombicosahedra 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" (#1181).

• Klitzing, Richard. "middit thix".