Great ditrigonary prismatodishecatonicosihexacosihecatonicosachoron

Great ditrigonary prismatodishecatonicosihexacosihecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gidtippid hixhi
Elements
Cells	120 ditdid, 120 siid, 120 gidditdid, 720 dip, 600 cho
Faces	2400 triangles, 5400 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagons, 720 decagrams
Edges	7200
Vertices	1200
Measures (edge length 1)
Circumradius	${\sqrt {3}}\approx 1.73205$
Related polytopes
Army	Rahi
Regiment	Rissidtixhi
Conjugate	Sidtippid hixhi
Abstract & topological properties
Euler characteristic	6840
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great ditrigonary prismatodishecatonicosihexacosihecatonicosachoron, or gidtippid hixhi, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra, 120 small icosicosidodecahedra, 120 great ditrigonal dodecicosidodecahedra, 720 decagonal prisms, and 600 cubohemioctahedra. Two ditrigonary dodecadodecahedra, six small icosicosidodecahedra, six great ditrigonal dodecicosidodecahedra, twelve decagonal prisms, and six cubohemioctahedra 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" (#1278).