Acronym	ondip
Name	octagonal spinoduoprism
Cross sections	©
Circumradius	sqrt[(3+sqrt(2))/2] = 1.485633
Coordinates	((1+sqrt(2))/2, 1/2; 1/2, 1/2)         & all permutations within each subset, all changes of sign ((1+sqrt(2))/2, 1/2; 1/sqrt(2), 0)    & all permutations within each subset, all changes of sign (1/2, 1/2; (1+sqrt(2))/2, 1/2)         & all permutations within each subset, all changes of sign (1/sqrt(2), 0; (1+sqrt(2))/2, 1/2)    & all permutations within each subset, all changes of sign
Colonel of regiment	(is itself locally convex – uniform polychoral members: by cells: cube tet trip ondip 64 64 128 & others)
Face vector	128, 512, 640, 256
Confer	compound-component: sidpith
External links

Ondip can be obtained as a blend of 4 sidpith. Infact its vertex figure itself is a blend of 2 vertex figures of sidpith.

As abstract polytope ondip is isomorphic to gondip, which does not have other cells, but would be derived as a blend from 4 quidpith.

Incidence matrix

128 |   4   2   2 |   6   4   4   4 |  2   6  4
----+-------------+-----------------+----------
  2 | 256   *   * |   2   1   1   0 |  1   2  1
  2 |   * 128   * |   2   2   0   2 |  1   3  2
  2 |   *   * 128 |   0   0   2   2 |  0   2  2
----+-------------+-----------------+----------
  3 |   2   1   0 | 256   *   *   * |  1   1  0
  4 |   2   2   0 |   * 128   *   * |  0   1  1
  4 |   2   0   2 |   *   * 128   * |  0   1  1
  4 |   0   2   2 |   *   *   * 128 |  0   1  1
----+-------------+-----------------+----------
♦ 4 |   4   2   0 |   4   0   0   0 | 64   *  *
♦ 6 |   4   3   2 |   2   1   1   1 |  * 128  *
♦ 8 |   4   4   4 |   0   2   2   2 |  *   * 64