| Acronym | gap | ||||||
| Name |
great antiprism, grand antiprism, pentagonal double antiprismoid | ||||||
| Cross sections |
| ||||||
| Circumradius | (1+sqrt(5))/2 = 1.618034 | ||||||
| Vertex figure | is a bitrapezoidal truncated icosahedron | ||||||
| General of army | (is itself convex) | ||||||
| Colonel of regiment |
(is itself locally convex
– uniform polychoral members:
| ||||||
|
External links |
|
The great antiprism (gap) is a faceting of the hexacosachoron. The antiprism cells (pap) form 2 rings of 10 each.
As abstract polychoron gap is isomorphic to padiap, thereby replacing the pentagons by pentagrams, resp. replacing pap by starp. Also the verftex figures turn from asymmetric facetings of ike into such facetings of gike.
100 | 2 4 4 | 1 6 3 12 | 2 8 4 :(vf) bitrapezoidal truncated ike ----+-------------+----------------+----------- 2 | 100 * * | 1 2 1 0 | 2 2 0 :5gon edges 2 | * 200 * | 0 2 0 2 | 1 2 1 :lateral ap edges 2 | * * 200 | 0 0 1 4 | 0 3 2 :edges joining the ap rings ----+-------------+----------------+----------- 5 | 5 0 0 | 20 * * * | 2 0 0 :ap-ap 5gon 3 | 1 2 0 | * 200 * * | 1 1 0 :ap-tet(adj) trig 3 | 1 0 2 | * * 100 * | 0 2 0 :tet(adj)-tet(adj) trig (extending the 5gon) 3 | 0 1 2 | * * * 400 | 0 1 1 :tet(adj)-tet(isol) trig ----+-------------+----------------+----------- 10 | 10 10 0 | 2 10 0 0 | 20 * * :5ap (pap) 4 | 1 2 3 | 0 1 1 2 | * 200 * :tet(adjacent) = ap-tet(adj) 3pyr 4 | 0 2 4 | 0 0 0 4 | * * 100 :tet(isolated) = lateral-ap-edges 2ap
© 2004-2013 | top of page |