Small retroinverted dodecahedronary hexacosihecatonicosachoron

Small retroinverted dodecahedronary hexacosihecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Sridixhi
Elements
Cells	600 tetrahedra, 120 great ditrigonary icosidodecahedra
Faces	2400 triangles, 720 pentagons
Edges	1200
Vertices	120
Edge figure	(tet 3 gidtid 5 gidtid 3)×3
Measures (edge length 1)
Circumradius	1
Hypervolume	${\frac {105{\sqrt {5}}}{4}}\approx 58.69678$
Dichoral angles	Gidtid–5–gidtid: 144°
	Tet–3–sidtid: $\arccos \left(-{\frac {\sqrt {10}}{4}}\right)\approx 142.23876^{\circ }$
Central density	41
Number of external pieces	133200
Level of complexity	363
Related polytopes
Army	Ex, edge length ${\frac {{\sqrt {5}}-1}{2}}$
Regiment	Sishi
Conjugate	Great retroinverted dodecahedronary hexacosihecatonicosachoron
Abstract & topological properties
Flag count	43200
Euler characteristic	1320
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Feral

The small retroinverted dodecahedronary hexacosihecatonicosachoron, or sridixhi, is a nonconvex uniform polychoron that consists of 120 great ditrigonary icosidodecahedra and 600 tetrahedra. Twenty great ditrigonary icosidodecahedra and twenty tetrahedra join at each vertex.

It also has great icosahedra as pseudofacets.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the small ditrigonary hexacosihecatonicosachoron.

External links

• Bowers, Jonathan. "Category 17: Sishi Regiment" (#773).

• Klitzing, Richard. "sridixhi".