Great tritrigonary disprismatohecatonicosihexacosidishecatonicosachoron

Great tritrigonary disprismatohecatonicosihexacosidishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Getit daphixady
Elements
Cells	120 ditdid, 600 tet, 120 tiggy, 120 gidditdid, 1200 hip, 720 stiddip
Faces	2400 triangles, 7200 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 1440 decagrams
Edges	3600+7200
Vertices	2400
Measures (edge length 1)
Circumradius	${\sqrt {8-3{\sqrt {5}}}}\approx 1.13657$
Related polytopes
Army	Semi-uniform Sidpixhi
Regiment	Getit xethi
Conjugate	Stut daphixady
Abstract & topological properties
Euler characteristic	5040
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great tritrigonary disprismatohecatonicosihexacosidishecatonicosachoron, or getit daphixady, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra, 600 tetrahedra, 120 truncated great icosahedra, 120 great ditrigonal dodecicosidodecahedra, 1200 hexagonal prisms, and 720 decagrammic prisms. One ditrigonary dodecadodecahedron, one tetrahedron, three truncated great icosahedra, three great ditrigonal dodecicosidodecahedra, six hexagonal prisms, and six decagrammic prisms join at each vertex.

It also has compound of five cubes as pseudofacets.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the great tritrigonary hexacositrishecatonicosachoron.

External links

• Bowers, Jonathan. "Category 25: Getit Xethi Regiment" (#1458).