Swirlprismatoreplenished rectified grand hexacosichoron

Swirlprismatoreplenished rectified grand hexacosichoron
(OFF file)
Rank	4
Type	Scaliform
Space	Spherical
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	$\sqrt{5-2\sqrt5} \approx 0.72654253$
Hypervolume	$5\frac{72\sqrt5-155}{4} ≈ 7.4961180$
Related polytopes
Army	Spidrox
Regiment	Sporraggix
Conjugate	Swirlprismatodiminished rectified hexacosichoron
Abstract & topological properties
Orientable	Yes
Properties
Symmetry	H3+×20, order 1200
Convex	No
Nature	Tame

Vertex coordinates

The vertex coordinates are the same as those of the swirlprismatodiminished rectified hexacosichoron scaled by a factor of $\sqrt5-2 \approx 0.23607$.

External links

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

• Klitzing, Richard. "sporraggix".