Dodecastar toroidiprism

The dodecastar toroidiprism or dastop is a scaliform polychoron that consists of 12 pentagrammic antiprisms and 24 pentagrammic cuploids. Two pentagrammic antiprisms and four pentagrammic cuploids join at each vertex.

Dodecastar toroidiprism
Rank	4
Type	Scaliform
Space	Spherical
Notation
Bowers style acronym	Dastop
Coxeter diagram	-2 2did
Elements
Cells	12 pentagrammic antiprisms, 24 pentagrammic cuploids
Faces	120 triangles, 60 squares, 24 pentagrams
Edges	240
Vertices	60
Vertex figure	Skewed butterfly prism
Measures (edge length 1)
Circumradius	$\frac{\sqrt2}{2} ≈ 0.70711$
Height	$\sqrt{\frac{\sqrt5-1}{2}} ≈ 0.78615$
Related polytopes
Army	Semi-uniform Iddip
Regiment	Dastop
Convex core	Dodecahedral tegum
Abstract & topological properties
Orientable	No
Properties
Symmetry	H3×A1, order 240
Convex	No
Nature	Tame

It resembles a shortened dodecadodecahedral prism, but it does not contain the base dodecadodecahedron facets. The pentagrammic faces from other facets lie where the pentagrammic faces of the dids would.

External links

• Bowers, Jonathan. "Category S1: Simple Scaliforms" (#S4).

• Klitzing, Richard. "dastop".