This happens to be a degenerate 4D segmentotope with zero height. However, because of the kernal being non-convex, it not really can be thought of as a 3D euclidean decomposition of the larger base into smaller bits.

Incidence matrix

reduced( xx3/2ox4/3xx&#x )   → height = 0
(sirco || groh)

         o.3/2o.4/3o.        | 24  * |  2  2  2  0  0 | 1  2 1  2  1  2  0 0 | 1 1  2 1 0
         .o3/2.o4/3.o        |  * 24 |  0  0  2  2  2 | 0  0 0  2  2  2  2 2 | 0 1  2 2 1
-----------------------------+-------+----------------+----------------------+-----------
         x.   ..   ..        |  2  0 | 24  *  *  *  * | 1  1 0  1  0  0  0 0 | 1 1  1 0 0
         ..   ..   x.        |  2  0 |  * 24  *  *  * | 0  1 1  0  0  1  0 0 | 1 0  1 1 0
         oo3/2oo4/3oo&#x     |  1  1 |  *  * 48  *  * | 0  0 0  1  1  1  0 0 | 0 1  1 1 0
reduced( .x   ..   ..    & ) |  0  2 |  *  *  * 24  * | 0  0 0  1  1  0  1 1 | 0 1  1 1 1
         ..   ..   .x        |  0  2 |  *  *  *  * 24 | 0  0 0  0  0  1  1 1 | 0 0  1 1 1
-----------------------------+-------+----------------+----------------------+-----------
         x.3/2o.   ..        |  3  0 |  3  0  0  0  0 | 8  * *  *  *  *  * * | 1 1  0 0 0
         x.   ..   x.        |  4  0 |  2  2  0  0  0 | * 12 *  *  *  *  * * | 1 0  1 0 0
         ..   o.4/3x.        |  4  0 |  0  4  0  0  0 | *  * 6  *  *  *  * * | 1 0  0 1 0
         xx   ..   ..&#x     |  2  2 |  1  0  2  1  0 | *  * * 24  *  *  * * | 0 1  1 0 0
         ..   ox   ..&#x     |  1  2 |  0  0  2  1  0 | *  * *  * 24  *  * * | 0 1  0 1 0
         ..   ..   xx&#x     |  2  2 |  0  1  2  0  1 | *  * *  *  * 24  * * | 0 0  1 1 0
         .x   ..   .x        |  0  4 |  0  0  0  2  2 | *  * *  *  *  * 12 * | 0 0  1 0 1
         ..   .x4/3.x        |  0  8 |  0  0  0  4  4 | *  * *  *  *  *  * 6 | 0 0  0 1 1  {8/3}
-----------------------------+-------+----------------+----------------------+-----------
         x.3/2o.4/3x.        ♦ 24  0 | 24 24  0  0  0 | 8 12 6  0  0  0  0 0 | 1 *  * * *
reduced( xx3/2ox   ..&#x   ) ♦  3  3 |  3  0  6  3  0 | 1  0 0  3  3  0  0 0 | * 8  * * *
         xx   ..   xx&#x     ♦  4  4 |  2  2  4  2  2 | 0  1 0  2  0  2  1 0 | * * 12 * *
         ..   ox4/3xx&#x     ♦  4  8 |  0  4  8  4  4 | 0  0 1  0  4  4  0 1 | * *  * 6 *
reduced( .x3/2.x4/3.x      ) ♦  0 24 |  0  0  0 24 24 | 0  0 0  0  0  0 12 6 | * *  * * 1