Small pyramidic swirlprism

From Polytope Wiki
Jump to navigation Jump to search
Small pyramidic swirlprism
Rank4
TypeScaliform
Notation
Bowers style acronymSpysp
Elements
Cells240 pentagonal pyramids (as 120 compounds of 2)
Faces600 triangles, 120 pentagons
Edges600
Vertices120
Vertex figurePentagonal gyroprism
Measures (edge length 1)
Circumradius
Volume
Dichoral anglesPeppy-3-peppy:

Peppy-5-peppy:

Central density1
Related polytopes
ArmyEx
RegimentEx subregiment
ConjugateGreat pyramidic swirlprism
Convex coreHecatonicosachoron
Abstract & topological properties
Flag count9600
OrientableYes
Properties
SymmetryH3●I2(10), order 1200
ConvexNo
NatureTame

The small pyramidic swirlprism or spysp is a nonconvex noble scaliform polychoron. It consists of 240 pentagonal pyramids in 120 coplanar pairs. It is notable for being concave, that is, it is not convex yet its entire surface is exposed.

Vertex coordinates[edit | edit source]

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

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

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

External links[edit | edit source]