Hollow small stellated dodecahedral antiprism
The hollow small stellated dodecahedral antiprism or hossdap is a prismatic scaliform polychoron that consists of 12 pentagrammic antiprisms and 24 pentagrammic pyramids. 5 pentagrammic antiprisms and 6 pentagrammic pyramids join at each vertex.
|Hollow small stellated dodecahedral antiprism|
|Bowers style acronym||Hossdap|
|Coxeter diagram||ß2ß5o5/2o (hossdap + 2 degenerate cells)|
|Cells||24 pentagrammic pyramids, 12 pentagrammic antiprisms|
|Faces||120 triangles, 24 pentagrams|
|Vertex figure||Pentagrammic cuploid, edge lengths (√5–1)/2 (pentagon), 1 (pentagram), 1 (lateral edges)|
|Measures (edge length 1)|
|Dual||Hollow great dodecahedral antitegum|
|Convex core||Elongated dodecahedral tegum|
|Abstract & topological properties|
|Symmetry||H3×A1, order 240|
It can be constructed as a holosnub great dodecahedral prism after coinciding base cells blend out.
The vertices of a hollow small stellated dodecahedral antiprism of edge length 1 are given by all even permutations of the first three coordinates of:
The convex core of this polychoron is an elongated dodecahedral tegum that consists of 12 pentagonal prisms (from the stap cells) and 24 pentagonal pyramids (from the stappy cells).
- Bowers, Jonathan. "Category S1: Simple Scaliforms" (#S2).
- Klitzing, Richard. "hossdap".