It either can be thought of as a degenerate 5D segmentotope with zero height, or as a 4D euclidean decomposition of the larger base into smaller bits.

Incidence matrix according to Dynkin symbol

oo3ox3oo4xx&#x   → height = 0
(tes || srit)

o.3o.3o.4o.    | 16  * |  4  6   0  0 |  6  12 12  0  0  0  0 | 4  4  4 12  6  0  0 0 | 1  1  4 4 0
.o3.o3.o4.o    |  * 96 |  0  1   4  2 |  0   1  2  2  2  4  1 | 0  2  2  4  1  1  2 2 | 0  1  2 2 1
---------------+-------+--------------+-----------------------+-----------------------+------------
.. .. .. x.    |  2  0 | 32  *   *  * |  3   0  3  0  0  0  0 | 3  0  0  3  3  0  0 0 | 1  0  1 3 0
oo3oo3oo4oo&#x |  1  1 |  * 96   *  * |  0   4  2  0  0  0  0 | 0  2  2  4  1  0  0 0 | 0  1  2 2 0
.. .x .. ..    |  0  2 |  *  * 192  * |  0   1  0  1  1  1  0 | 0  1  1  1  0  1  1 1 | 0  1  1 1 1
.. .. .. .x    |  0  2 |  *  *   * 96 |  0   0  1  0  0  2  1 | 0  0  0  2  1  0  1 2 | 0  0  1 2 1
---------------+-------+--------------+-----------------------+-----------------------+------------
.. .. o.4x.    |  4  0 |  4  0   0  0 | 24   *  *  *  *  *  * | 2  0  0  0  1  0  0 0 | 1  0  0 2 0
.. ox .. ..&#x |  1  2 |  0  2   1  0 |  * 192  *  *  *  *  * | 0  1  1  1  0  0  0 0 | 0  1  1 1 0
.. .. .. xx&#x |  2  2 |  1  2   0  1 |  *   * 96  *  *  *  * | 0  0  0  2  1  0  0 0 | 0  0  1 2 0
.o3.x .. ..    |  0  3 |  0  0   3  0 |  *   *  * 64  *  *  * | 0  1  0  0  0  1  1 0 | 0  1  1 0 1
.. .x3.o ..    |  0  3 |  0  0   3  0 |  *   *  *  * 64  *  * | 0  0  1  0  0  1  0 1 | 0  1  0 1 1
.. .x .. .x    |  0  4 |  0  0   2  2 |  *   *  *  *  * 96  * | 0  0  0  1  0  0  1 1 | 0  0  1 1 1
.. .. .o4.x    |  0  4 |  0  0   0  4 |  *   *  *  *  *  * 24 | 0  0  0  0  1  0  0 2 | 0  0  0 2 1
---------------+-------+--------------+-----------------------+-----------------------+------------
.. o.3o.4x.    ♦  8  0 | 12  0   0  0 |  6   0  0  0  0  0  0 | 8  *  *  *  *  *  * * | 1  0  0 1 0
oo3ox .. ..&#x ♦  1  3 |  0  3   3  0 |  0   3  0  1  0  0  0 | * 64  *  *  *  *  * * | 0  1  1 0 0
.. ox3oo ..&#x ♦  1  3 |  0  3   3  0 |  0   3  0  0  1  0  0 | *  * 64  *  *  *  * * | 0  1  0 1 0
.. ox .. xx&#x ♦  2  4 |  1  4   2  2 |  0   2  2  0  0  1  0 | *  *  * 96  *  *  * * | 0  0  1 1 0
.. .. oo4xx&#x ♦  4  4 |  4  4   0  4 |  1   0  4  0  0  0  1 | *  *  *  * 24  *  * * | 0  0  0 2 0
.o3.x3.o ..    ♦  0  6 |  0  0  12  0 |  0   0  0  4  4  0  0 | *  *  *  *  * 16  * * | 0  1  0 0 1
.o3.x .. .x    ♦  0  6 |  0  0   6  3 |  0   0  0  2  0  3  0 | *  *  *  *  *  * 32 * | 0  0  1 0 1
.. .x3.o4.x    ♦  0 24 |  0  0  24 24 |  0   0  0  0  8 12  6 | *  *  *  *  *  *  * 8 | 0  0  0 1 1
---------------+-------+--------------+-----------------------+-----------------------+------------
o.3o.3o.4x.    ♦ 16  0 | 32  0   0  0 | 24   0  0  0  0  0  0 | 8  0  0  0  0  0  0 0 | 1  *  * * *
oo3ox3oo ..&#x ♦  1  6 |  0  6  12  0 |  0  12  0  4  4  0  0 | 0  4  4  0  0  1  0 0 | * 16  * * *
oo3ox .. xx&#x ♦  2  6 |  1  6   6  3 |  0   6  3  2  0  3  0 | 0  2  0  3  0  0  1 0 | *  * 32 * *
.. ox3oo4xx&#x ♦  8 24 | 12 24  24 24 |  6  24 24  0  8 12  6 | 1  0  8 12  6  0  0 1 | *  *  * 8 *
.o3.x3.o4.x    ♦  0 96 |  0  0 192 96 |  0   0  0 64 64 96 24 | 0  0  0  0  0 16 32 8 | *  *  * * 1