Acronym	sadiap
Name	snub disicositetrachoric antiprism, triangle-alternation of truncated icositetrachoric prism
Circumradius	sqrt(29)/2 = 2.692582
Face vector	192, 1248, 2112, 1296, 242
Confer	general polytopal classes: isogonal
External links

This isogonal polyteron is obtained by hemiation of ticope. But because of lower degree of freedom the resulting edge sizes cannot be made all alike.

Incidence matrix according to Dynkin symbol

s2s3s4o3o

demi( . . . . . ) | 192 |  1   3   3   6 |   3   9   9   9   3 |  3   3  3  1  12   4   4 |  3  1 1   5
------------------+-----+----------------+---------------------+--------------------------+------------
      s2s . . .   |   2 | 96   *   *   * |   0   6   0   0   0 |  3   0  0  0   6   0   0 |  3  0 0   2  q
      s 2 s . .   |   2 |  * 288   *   * |   0   2   4   0   0 |  1   2  0  0   4   2   0 |  2  1 0   2  q
      . . s4o .   |   2 |  *   * 288   * |   0   0   2   2   2 |  0   1  1  1   2   2   2 |  1  1 1   2  q
sefa( . s3s . . ) |   2 |  *   *   * 576 |   1   1   0   2   0 |  1   0  2  0   2   0   1 |  2  0 1   1  h
------------------+-----+----------------+---------------------+--------------------------+------------
      . s3s . .   |   3 |  0   0   0   3 | 192   *   *   *   * |  1   0  2  0   0   0   0 |  2  0 1   0  h3o
sefa( s2s3s . . ) |   3 |  1   1   0   1 |   * 576   *   *   * |  1   0  0  0   2   0   0 |  2  0 0   1  oh&#q
sefa( s 2 s4o . ) |   3 |  0   2   1   0 |   *   * 576   *   * |  0   1  0  0   1   1   0 |  1  1 0   1  q3o
sefa( . s3s4o . ) |   3 |  0   0   1   2 |   *   *   * 576   * |  0   0  1  0   1   0   1 |  1  0 1   1  oq&h
sefa( . . s4o3o ) |   3 |  0   0   3   0 |   *   *   *   * 192 |  0   0  0  1   0   1   1 |  0  1 1   1  q3o
------------------+-----+----------------+---------------------+--------------------------+------------
      s2s3s . .   |   6 |  3   3   0   6 |   2   6   0   0   0 | 96   *  *  *   *   *   * |  2  0 0   0  ho3oh&#q
      s 2 s4o .   |   4 |  0   4   2   0 |   0   0   4   0   0 |  * 144  *  *   *   *   * |  1  1 0   0  q3o3o
      . s3s4o .   |  12 |  0   0   6  24 |   8   0   0  12   0 |  *   * 48  *   *   *   * |  1  0 1   0  qQo oqQ Qoq&#zh
      . . s4o3o   |   4 |  0   0   6   0 |   0   0   0   0   4 |  *   *  * 48   *   *   * |  0  1 1   0  q3o3o
sefa( s2s3s4o . ) |   4 |  1   2   1   2 |   0   2   1   1   0 |  *   *  *  * 576   *   * |  1  0 0   1  q-laced oq&#h pyramid (tet variant)
sefa( s 2 s4o3o ) |   4 |  0   3   3   0 |   0   0   3   0   1 |  *   *  *  *   * 192   * |  0  1 0   1  q3o3o
sefa( . s3s4o3o ) |   4 |  0   0   3   3 |   0   0   0   3   1 |  *   *  *  *   *   * 192 |  0  0 1   1  oq3oo&#h (tet variant)
------------------+-----+----------------+---------------------+--------------------------+------------
      s2s3s4o .   |  24 | 12  24  12  48 |  16  48  24  24   0 |  8   6  2  0  24   0   0 | 24  * *   *  pikap
      s 2 s4o3o   |   8 |  0  12  12   0 |   0   0  24   0   8 |  0   6  0  2   0   8   0 |  * 24 *   *  q-hex
      . s3s4o3o   |  96 |  0   0 144 288 |  96   0   0 288  96 |  0   0 24 24   0   0  96 |  *  * 2   *  s3s4o3o
sefa( s2s3s4o3o ) |   5 |  1   3   3   3 |   0   3   3   3   1 |  0   0  0  0   3   1   1 |  *  * * 192  q-laced oq3oo&#h pyramid (pen variant)

starting figure: x2x3x4o3o