Great pyramidic swirlprism

Great pyramidic swirlprism
(OFF file)
Rank	4
Type	Scaliform
Space	Spherical
Notation
Bowers style acronym	Gypasp
Elements
Cells	240 pentagrammic pyramids (as 120 compounds of 2)
Faces	600 triangles, 120 pentagrams
Edges	600
Vertices	120
Vertex figure	Pentagrammic gyroprism
Measures (edge length 1)
Circumradius	$\frac{\sqrt5-1}2 \approx 0.61803$
Volume	$\frac{25-10\sqrt5}2 \approx 1.31966$
Related polytopes
Army	Ex
Regiment	Gishi subregiment
Conjugate	Small pyramidic swirlprism
Convex core	Hecatonicosachoron
Abstract & topological properties
Flag count	9600
Orientable	Yes
Properties
Symmetry	H3●I2(10), order 1200
Convex	No
Nature	Tame

The great pyramidic swirlprism or gypasp is a nonconvex noble scaliform polychoron. It consists of 240 pentagrammic pyramids in 120 coplanar pairs.

It can be formed by blending a great swirlprism with a great faceted hexacosichoron.

Its vertex figure is the dual of the vertex figure of sisp.

Vertex coordinates

Its vertex coordinates are the same as those of the general of its army, the hexacosichoron.

External links

• Bowers, Jonathan. "Category S4: Scaliform Swirlprisms".

• Klitzing, Richard. "gypasp".