Swirlprismatic dishecatonicosachoron

Swirlprismatic dishecatonicosachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Spidy
Elements
Components	24 pentagonal-pentagrammic duoprisms
Cells	120 pentagonal prisms, 120 pentagrammic prisms
Faces	120 pentagons, 120 pentagrams, 600 squares
Edges	600+600
Vertices	600 as 120 fissary
Vertex figure	Compound of 5 disphenoids
Measures (edge length 1)
Circumradius	$1$
Hypervolume	$\frac{15\sqrt5}2 \approx 16.7705$
Dichoral angles	Stip–5/2–stip: 108°
	Pip–4–stip: 90°
	Pip–5–pip: 36°
Related polytopes
Army	Ex
Regiment	Sishi
Conjugate	Swirlprismatic dishecatonicosachoron
Properties
Symmetry	H3●I2(10), order 1200
Nature	Tame

The swirlprismatic dishecatonicosachoron is a uniform polychoron compound. It is a compound of 24 pentagonal-pentagrammic duoprisms. 5 components meet at each vertex. It has swirlprism symmetry.

Vertex coordinates

Its vertex coordinates are the same as those of its regiment colonel, the small stellated hecatonicosachoron.

Related polychora

This compound can be blended with paphicki or paphacki to produce several uniform swirlprismatic polychora: sphix, spiddit, sispatit, gispatit, spittid, spaxhi.

External links

• Klitzing, Richard. "spidy".

• Bowers, Jonathan. "Category 20: Miscellaneous".