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

xx3oo3xx4ox&#x   → height = 0
(rico || proh)

o.3o.3o.4o.    | 96   * |  2   4   2   0   0  0 |  1  4  2  2   4   4  1  0  0  0  0  0 |  2  2 2  2  4  2  2  2  0  0  0 0 | 1  2  1  2 1 0
.o3.o3.o4.o    |  * 192 |  0   0   1   2   2  1 |  0  0  0  0   2   2  1  1  2  2  1  2 |  0  0 0  1  2  2  1  2  1  1  2 1 | 0  1  1  2 1 1
---------------+--------+-----------------------+---------------------------------------+-----------------------------------+---------------
x. .. .. ..    |  2   0 | 96   *   *   *   *  * |  1  2  0  0   2   0  0  0  0  0  0  0 |  2  1 0  2  2  1  0  0  0  0  0 0 | 1  2  1  1 0 0
.. .. x. ..    |  2   0 |  * 192   *   *   *  * |  0  1  1  1   0   1  0  0  0  0  0  0 |  1  1 1  0  1  0  1  1  0  0  0 0 | 1  1  0  1 1 0
oo3oo3oo4oo&#x |  1   1 |  *   * 192   *   *  * |  0  0  0  0   2   2  1  0  0  0  0  0 |  0  0 0  1  2  2  1  2  0  0  0 0 | 0  1  1  2 1 0
.x .. .. ..    |  0   2 |  *   *   * 192   *  * |  0  0  0  0   1   0  0  1  1  1  0  0 |  0  0 0  1  1  1  0  0  1  1  1 0 | 0  1  1  1 0 1
.. .. .x ..    |  0   2 |  *   *   *   * 192  * |  0  0  0  0   0   1  0  0  1  0  1  1 |  0  0 0  0  1  0  1  1  1  0  1 1 | 0  1  0  1 1 1
.. .. .. .x    |  0   2 |  *   *   *   *   * 96 |  0  0  0  0   0   0  1  0  0  2  0  2 |  0  0 0  0  0  2  0  2  0  1  2 1 | 0  0  1  2 1 1
---------------+--------+-----------------------+---------------------------------------+-----------------------------------+---------------
x.3o. .. ..    |  3   0 |  3   0   0   0   0  0 | 32  *  *  *   *   *  *  *  *  *  *  * |  2  0 0  2  0  0  0  0  0  0  0 0 | 1  2  1  0 0 0
x. .. x. ..    |  4   0 |  2   2   0   0   0  0 |  * 96  *  *   *   *  *  *  *  *  *  * |  1  1 0  0  1  0  0  0  0  0  0 0 | 1  1  0  1 0 0
.. o.3x. ..    |  3   0 |  0   3   0   0   0  0 |  *  * 64  *   *   *  *  *  *  *  *  * |  1  0 1  0  0  0  1  0  0  0  0 0 | 1  1  0  0 1 0
.. .. x.4o.    |  4   0 |  0   4   0   0   0  0 |  *  *  * 48   *   *  *  *  *  *  *  * |  0  1 1  0  0  0  0  1  0  0  0 0 | 1  0  0  1 1 0
xx .. .. ..&#x |  2   2 |  1   0   2   1   0  0 |  *  *  *  * 192   *  *  *  *  *  *  * |  0  0 0  1  1 1   0  0  0  0  0 0 | 0  1  1  1 0 0
.. .. xx ..&#x |  2   2 |  0   1   2   0   1  0 |  *  *  *  *   * 192  *  *  *  *  *  * |  0  0 0  0  1  0  1  1  0  0  0 0 | 0  1  0  1 1 0
.. .. .. ox&#x |  1   2 |  0   0   2   0   0  1 |  *  *  *  *   *   * 96  *  *  *  *  * |  0  0 0  0  0  2  0  2  0  0  0 0 | 0  0  1  2 1 0
.x3.o .. ..    |  0   3 |  0   0   0   3   0  0 |  *  *  *  *   *   *  * 64  *  *  *  * |  0  0 0  1  0  0  0  0  1  1  0 0 | 0  1  1  0 0 1
.x .. .x ..    |  0   4 |  0   0   0   2   2  0 |  *  *  *  *   *   *  *  * 96  *  *  * |  0  0 0  0  1  0  0  0  1  0  1 0 | 0  1  0  1 0 1
.x .. .. .x    |  0   4 |  0   0   0   2   0  2 |  *  *  *  *   *   *  *  *  * 96  *  * |  0  0 0  0  0  1  0  0  0  1  1 0 | 0  0  1  1 0 1
.. .o3.x ..    |  0   3 |  0   0   0   0   3  0 |  *  *  *  *   *   *  *  *  *  * 64  * |  0  0 0  0  0  0  1  0  1  0  0 1 | 0  1  0  0 1 1
.. .. .x4.x    |  0   8 |  0   0   0   0   4  4 |  *  *  *  *   *   *  *  *  *  *  * 48 |  0  0 0  0  0  0  0  1  0  0  1 1 | 0  0  0  1 1 1
---------------+--------+-----------------------+---------------------------------------+-----------------------------------+---------------
x.3o.3x. ..    ♦ 12   0 | 12  12   0   0   0  0 |  4  6  4  0   0   0  0  0  0  0  0  0 | 16  * *  *  *  *  *  *  *  *  * * | 1  1  0  0 0 0
x. .. x.4o.    ♦  8   0 |  4   8   0   0   0  0 |  0  4  0  2   0   0  0  0  0  0  0  0 |  * 24 *  *  *  *  *  *  *  *  * * | 1  0  0  1 0 0
.. o.3x.4o.    ♦ 12   0 |  0  24   0   0   0  0 |  0  0  8  6   0   0  0  0  0  0  0  0 |  *  * 8  *  *  *  *  *  *  *  * * | 1  0  0  0 1 0
xx3oo .. ..&#x ♦  3   3 |  3   0   3   3   0  0 |  1  0  0  0   3   0  0  1  0  0  0  0 |  *  * * 64  *  *  *  *  *  *  * * | 0  1  1  0 0 0
xx .. xx ..&#x ♦  4   4 |  2   2   4   2   2  0 |  0  1  0  0   2   2  0  0  1  0  0  0 |  *  * *  * 96  *  *  *  *  *  * * | 0  1  0  1 0 0
xx .. .. ox&#x ♦  2   4 |  1   0   4   2   0  2 |  0  0  0  0   2   0  2  0  0  1  0  0 |  *  * *  *  * 96  *  *  *  *  * * | 0  0  1  1 0 0
.. oo3xx ..&#x ♦  3   3 |  0   3   3   0   3  0 |  0  0  1  0   0   3  0  0  0  0  1  0 |  *  * *  *  *  * 64  *  *  *  * * | 0  1  0  0 1 0
.. .. xx4ox&#x ♦  4   8 |  0   4   8   0   4  4 |  0  0  0  1   0   4  4  0  0  0  0  1 |  *  * *  *  *  *  * 48  *  *  * * | 0  0  0  1 1 0
.x3.o3.x ..    ♦  0  12 |  0   0   0  12  12  0 |  0  0  0  0   0   0  0  4  6  0  4  0 |  *  * *  *  *  *  *  * 16  *  * * | 0  1  0  0 0 1
.x3.o .. .x    ♦  0   6 |  0   0   0   6   0  3 |  0  0  0  0   0   0  0  2  0  3  0  0 |  *  * *  *  *  *  *  *  * 32  * * | 0  0  1  0 0 1
.x .. .x4.x    ♦  0  16 |  0   0   0   8   8  8 |  0  0  0  0   0   0  0  0  4  4  0  2 |  *  * *  *  *  *  *  *  *  * 24 * | 0  0  0  1 0 1
.. .o3.x4.x    ♦  0  24 |  0   0   0   0  24 12 |  0  0  0  0   0   0  0  0  0  0  8  6 |  *  * *  *  *  *  *  *  *  *  * 8 | 0  0  0  0 1 1
---------------+--------+-----------------------+---------------------------------------+-----------------------------------+---------------
x.3o.3x.4o.    ♦ 96   0 | 96 192   0   0   0  0 | 32 96 64 48   0   0  0  0  0  0  0  0 | 16 24 8  0  0  0  0  0  0  0  0 0 | 1  *  *  * * *
xx3oo3xx ..&#x ♦ 12  12 | 12  12  12  12  12  0 |  4  6  4  0  12  12  0  4  6  0  4  0 |  1  0 0  4  6  0  4  0  1  0  0 0 | * 16  *  * * *
xx3oo .. ox&#x ♦  3   6 |  3   0   6   6   0  3 |  1  0  0  0   6   0  3  2  0  3  0  0 |  0  0 0  2  0  3  0  0  0  1  0 0 | *  * 32  * * *
xx .. xx4ox&#x ♦  8  16 |  4   8  16   8   8  8 |  0  4  0  2   8   8  8  0  4  4  0  2 |  0  1 0  0  4  4  0  2  0  0  1 0 | *  *  * 24 * *
.. oo3xx4ox&#x ♦ 12  24 |  0  24  24   0  24 12 |  0  0  8  6   0  24 12  0  0  0  8  6 |  0  0 1  0  0  0  8  6  0  0  0 1 | *  *  *  * 8 *
.x3.o3.x4.x    ♦  0 192 |  0   0   0 192 192 96 |  0  0  0  0   0   0  0 64 96 96 64 48 |  0  0 0  0  0  0  0  0 16 32 24 8 | *  *  *  * * 1