Hollow small stellated dodecahedral antiprism
Jump to navigation Jump to search
|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|
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.
It can be constructed as a holosnub great dodecahedral prism after coinciding base cells blend out.
Vertex coordinates[edit | edit source]
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:
Convex core[edit | edit source]
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).
External links[edit | edit source]
- Bowers, Jonathan. "Category S1: Simple Scaliforms" (#S2).
- Klitzing, Richard. "hossdap".