Rhombic great dishecatonicosachoron

Rhombic great dishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Raggady
Elements
Cells	720 pentagrammic prisms, 120 truncated great icosahedra, 120 rhombicosahedra
Faces	3600 squares, 1440 pentagrams, 2400 hexagons
Edges	3600+7200
Vertices	3600
Vertex figure	Butterfly wedge, edge lengths (√5–1)/2 (bases), Template:Radci (sides of outer triangles), and √3 (sides of inner triangles)
Measures (edge length 1)
Circumradius	${\sqrt {7-2{\sqrt {5}}}}\approx 1.58993$
Dichoral angles	Tiggy–5/2–stip: 126°
	Ri–4–stip: $\arccos \left(-{\sqrt {\frac {5-{\sqrt {5}}}{10}}}\right)\approx 121.71747^{\circ }$
	Ri–6–tiggy: 60°
Related polytopes
Army	Srahi
Regiment	Sirgashi
Conjugate	Rhombic small dishecatonicosachoron
Abstract & topological properties
Euler characteristic	–720
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Tame

The rhombic great dishecatonicosachoron, or raggady, is a nonconvex uniform polychoron that consists of 120 truncated great icosahedra, 120 rhombicosahedra, and 720 pentagrammic prisms. 2 of each type of cell join at each vertex.

Vertex coordinates

The vertices are the same as those of the regiment colonel, the small rhombated grand stellated hecatonicosachoron.

External links

• Bowers, Jonathan. "Category 6: Sphenoverts" (#209).