The truncation generally keeps the edges of the regular pre-image, but pulls them somehow apart, then filling in the former vertex figures. Here it becomes applied to the complex polyhedron x₃-3-o₃-4-o₂. Thus the new vertex count derives as the product of the former vertex count with the vertex count of the former vertex figure. For new edges one gets both, those of the regular and of its rectified version. And for faces we obtain the truncations of those of the regular pre-image and, in addition, the "other" ones of the rectified form, i.e. the ones of the vertex figure of the regular pre-image.

But because that application of truncation here acts on a polyhedron, which in turn could alternatively be considered as the rectification of the Hessian polyhedron, i.e. o₃-3-x₃-3-o₃, the here derived polyhedron well could be considered to be the omnitruncation of that Hessian one too.

Incidence matrix according to Dynkin symbol

x3-3-x3-4-o2

.    .    .  | 648 |   1   2 |  2  1
-------------+-----+---------+------
x3   .    .  |   3 | 216   * |  2  0
.    x3   .  |   3 |   * 432 |  1  1
-------------+-----+---------+------
x3-3-x3   .  ♦  24 |   8   8 | 54  *
.    x3-4-o2 ♦   9 |   0   6 |  * 72

x3-3-x3-3-x3

.    .    .  | 648 |   1   1   1 |  1  1  1
-------------+-----+-------------+---------
x3   .    .  |   3 | 216   *   * |  1  1  0
.    x3   .  |   3 |   * 216   * |  1  0  1
.    .    x3 |   3 |   *   * 216 |  0  1  1
-------------+-----+-------------+---------
x3-3-x3   .  ♦  24 |   8   8   0 | 27  *  *
x3 - 2  - x3 ♦   9 |   3   0   3 |  * 72  *
.    x3-3-x3 ♦  24 |   0   8   8 |  *  * 27