Great ditetrahedronary prismatotrishecatonicosachoron

Great ditetrahedronary prismatotrishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Gidtapthi
Elements
Cells	120 ditdid, 120 gissid, 720 pip, 120 ri
Faces	3600 squares, 1440 pentagons, 1440 pentagrams, 1200 hexagons
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	$\sqrt2 \approx 1.41421$
Related polytopes
Army	Hi
Regiment	Dattady
Conjugate	Ditetrahedronary prismatotrishecatonicosachoron
Abstract & topological properties
Flag count	144000
Euler characteristic	3600
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great ditetrahedronary prismatotrishecatonicosachoron, or gidtapthi, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra, 120 great stellated dodecahedra, 720 pentagonal prisms, and 120 rhombicosahedra. Four ditrigonary dodecadodecahedra, four great stellated dodecahedra, 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" (#848).