Great ditetrahedronary prismatodishecatonicosachoron

Great ditetrahedronary prismatodishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gidtappady
Elements
Cells	120 gidtid, 720 pip, 120 ri
Faces	1200 triangles, 3600 squares, 1440 pentagrams, 1200 hexagons
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	${\sqrt {2}}\approx 1.41421$
Related polytopes
Army	Hi
Regiment	Dattady
Conjugate	Ditetrahedronary prismatodishecatonicosachoron
Abstract & topological properties
Flag count	129600
Euler characteristic	3480
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great ditetrahedronary prismatodishecatonicosachoron, or gidtappady, is a nonconvex uniform polychoron that consists of 120 great ditrigonary icosidodecahedra, 720 pentagonal prisms, and 120 rhombicosahedra. Four great ditrigonary icosidodecahedra, twelve pentagonal prisms, and twelve rhombicosahedra join at each vertex.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the ditetrahedronary dishecatonicosachoron.

External links

• Bowers, Jonathan. "Category 18: Ditetrahedrals" (#845).