This is a scaliform edge-faceting of a Grünbaumian double-cover of the small rhombated tesseract (srit). The additional 48 octagons are inscribed into the former small rhombicuboctahedra (sirco), the additional 128 triangles are used to produce a quadruple coincidence of a tetrahedral subset of the so far only doubled up octahedra (oct).

Incidence matrix according to Dynkin symbol

β3β3o4x

both( . . . . ) | 192 |   2   4   2 |  1   2  1   3   4  2 |  1  2 1  3
----------------+-----+-------------+----------------------+-----------
both( . . . x ) |   2 | 192   *   * |  1   0  0   0   2  1 |  0  1 1  2
sefa( s3s . . ) |   2 |   * 384   * |  0   1  0   1   1  0 |  1  1 0  1
sefa( . β3o . ) |   2 |   *   * 192 |  0   0  1   1   0  1 |  1  0 1  1
----------------+-----+-------------+----------------------+-----------
both( . . o4x ) |   4 |   4   0   0 | 48   *  *   *   *  * |  0  0 1  1
both( s3s . . ) ♦   3 |   0   3   0 |  * 128  *   *   *  * |  1  1 0  0
      . β3o .   ♦   3 |   0   0   3 |  *   * 64   *   *  * |  1  0 1  0
sefa( β3β3o . ) |   3 |   0   2   1 |  *   *  * 192   *  * |  1  0 0  1
sefa( s3s 2 x ) |   4 |   2   2   0 |  *   *  *   * 192  * |  0  1 0  1
sefa( . β3o4x ) |   8 |   4   0   4 |  *   *  *   *   * 48 |  0  0 1  1
----------------+-----+-------------+----------------------+-----------
      β3β3o .   ♦  12 |   0  24  12 |  0   8  4  12   0  0 | 16  * *  *
both( s3s 2 x ) ♦   6 |   3   6   0 |  0   2  0   0   3  0 |  * 64 *  *
      . β3o4x   ♦  24 |  24   0  24 |  6   0  8   0   0  6 |  *  * 8  *
sefa( β3β3o4x ) ♦  12 |   8   8   4 |  1   0  0   4   4  1 |  *  * * 48

starting figure: x3x3o4x