Swirlprismatoreplenished rectified grand hexacosichoron

Swirlprismatoreplenished rectified grand hexacosichoron
(OFF file)
Rank	4
Type	Scaliform
Notation
Bowers style acronym	Sporraggix
Elements
Cells	600 square pyramids, 120 pentagrammic prisms, 120 pentagrammic retroprisms
Faces	600+1200 triangles, 600 squares, 240 pentagrams
Edges	600+600+1200
Vertices	600
Measures (edge length 1)
Circumradius	${\sqrt {5-2{\sqrt {5}}}}\approx 0.72654253$
Hypervolume	$5{\frac {72{\sqrt {5}}-155}{4}}\approx 7.4961180$
Central density	191
Related polytopes
Army	Spidrox
Regiment	Sporraggix
Conjugate	Swirlprismatodiminished rectified hexacosichoron
Abstract & topological properties
Flag count	36000
Orientable	Yes
Properties
Symmetry	H3●I2(10), order 1200
Convex	No
Nature	Tame

The swirlprismatoreplenished rectified grand hexacosichoron or sporraggix is a scaliform polychoron. It consists of 600 square pyramids, 120 pentagrammic prisms, and 120 pentagrammic retroprisms. Five square pyramids, two pentagrammic prisms, and two pentagrammic retroprisms meet at each vertex.

Vertex coordinates

Its vertex coordinates are the same as those of the swirlprismatodiminished rectified hexacosichoron scaled by a factor of ${\sqrt {5}}-2\approx 0.23607$.

External links

• Bowers, Jonathan. "Category S3: Special Scaliforms" (#S81).

• Klitzing, Richard. "sporraggix".