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:
by cells: pap tet
gap 20300
)
External
links
hedrondude   wikipedia   WikiChoron     quickfur

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.


Incidence matrix

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

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