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

ox3xo3ox4xx&#x   → height = 0
(srit || proh)

o.3o.3o.4o.    | 96   * |   4  2   4   0   0  0 |  2  2  4  1   2   4   2   4  0  0  0  0  0 |  1  2 2  2  1  2  2  4  2  0  0  0 0 | 1  1  2  1 2 0
.o3.o3.o4.o    |  * 192 |   0  0   2   2   2  1 |  0  0  0  0   2   1   2   2  1  2  2  1  2 |  0  0 0  1  2  2  1  1  2  1  1  2 1 | 0  1  1  2 1 1
---------------+--------+-----------------------+--------------------------------------------+--------------------------------------+---------------
.. x. .. ..    |  2   0 | 192  *   *   *   *  * |  1  1  1  0   0   1   0   0  0  0  0  0  0 |  1  1 1  1  0  0  1  1  0  0  0  0 0 | 1  1  1  0 1 0
.. .. .. x.    |  2   0 |   * 96   *   *   *  * |  0  0  2  1   0   0   0   2  0  0  0  0  0 |  0  1 2  0  0  1  0  2  2  0  0  0 0 | 1  0  1  1 2 0
oo3oo3oo4oo&#x |  1   1 |   *  * 384   *   *  * |  0  0  0  0   1   1   1   1  0  0  0  0  0 |  0  0 0  1  1  1  1  1  1  0  0  0 0 | 0  1  1  1 1 0
.x .. .. ..    |  0   2 |   *  *   * 192   *  * |  0  0  0  0   1   0   0   0  1  1  1  0  0 |  0  0 0  1  1  1  0  0  0  1  1  1 0 | 0  1  1  1 0 1
.. .. .x ..    |  0   2 |   *  *   *   * 192  * |  0  0  0  0   0   0   1   0  0  1  0  1  1 |  0  0 0  0  1  0  1  0  1  1  0  1 1 | 0  1  0  1 1 1
.. .. .. .x    |  0   2 |   *  *   *   *   * 96 |  0  0  0  0   0   0   0   2  0  0  2  0  2 |  0  0 0  0  0  2  0  1  2  0  1  2 1 | 0  0  1  2 1 1
---------------+--------+-----------------------+--------------------------------------------+--------------------------------------+---------------
o.3x. .. ..    |  3   0 |   3  0   0   0   0  0 | 64  *  *  *   *   *   *   *  *  *  *  *  * |  1  1 0  1  0  0  0  0  0  0  0  0 0 | 1  1  1  0 0 0
.. x.3o. ..    |  3   0 |   3  0   0   0   0  0 |  * 64  *  *   *   *   *   *  *  *  *  *  * |  1  0 1  0  0  0  1  0  0  0  0  0 0 | 1  1  0  0 1 0
.. x. .. x.    |  4   0 |   2  2   0   0   0  0 |  *  * 96  *   *   *   *   *  *  *  *  *  * |  0  1 1  0  0  0  0  1  0  0  0  0 0 | 1  0  1  0 1 0
.. .. o.4x.    |  4   0 |   0  4   0   0   0  0 |  *  *  * 24   *   *   *   *  *  *  *  *  * |  0  0 2  0  0  0  0  0  2  0  0  0 0 | 1  0  0  1 2 0
ox .. .. ..&#x |  1   2 |   0  0   2   1   0  0 |  *  *  *  * 192   *   *   *  *  *  *  *  * |  0  0 0  1  1  1  0  0  0  0  0  0 0 | 0  1  1  1 0 0
.. xo .. ..&#x |  2   1 |   1  0   2   0   0  0 |  *  *  *  *   * 192   *   *  *  *  *  *  * |  0  0 0  1  0  0  1  1  0  0  0  0 0 | 0  1  1  0 1 0
.. .. ox ..&#x |  1   2 |   0  0   2   0   1  0 |  *  *  *  *   *   * 192   *  *  *  *  *  * |  0  0 0  0  1  0  1  0  1  0  0  0 0 | 0  1  0  1 1 0
.. .. .. xx&#x |  2   2 |   0  1   2   0   0  1 |  *  *  *  *   *   *   * 192  *  *  *  *  * |  0  0 0  0  0  1  0  1  1  0  0  0 0 | 0  0  1  1 1 0
.x3.o .. ..    |  0   3 |   0  0   0   3   0  0 |  *  *  *  *   *   *   *   * 64  *  *  *  * |  0  0 0  1  0  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  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  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  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  0  1  0  0  1 1 | 0  0  0  1 1 1
---------------+--------+-----------------------+--------------------------------------------+--------------------------------------+---------------
o.3x.3o. ..    ♦  6   0 |  12  0   0   0   0  0 |  4  4  0  0   0   0   0   0  0  0  0  0  0 | 16  * *  *  *  *  *  *  *  *  *  * * | 1  1  0  0 0 0
o.3x. .. x.    ♦  6   0 |   6  3   0   0   0  0 |  2  0  3  0   0   0   0   0  0  0  0  0  0 |  * 32 *  *  *  *  *  *  *  *  *  * * | 1  0  1  0 0 0
.. x.3o.4x.    ♦ 24   0 |  24 24   0   0   0  0 |  0  8 12  6   0   0   0   0  0  0  0  0  0 |  *  * 8  *  *  *  *  *  *  *  *  * * | 1  0  0  0 1 0
ox3xo .. ..&#x ♦  3   3 |   3  0   6   3   0  0 |  1  0  0  0   3   3   0   0  1  0  0  0  0 |  *  * * 64  *  *  *  *  *  *  *  * * | 0  1  1  0 0 0
ox .. ox ..&#x ♦  1   4 |   0  0   4   2   2  0 |  0  0  0  0   2   0   2   0  0  1  0  0  0 |  *  * *  * 96  *  *  *  *  *  *  * * | 0  1  0  1 0 0
ox .. .. xx&#x ♦  2   4 |   0  1   4   2   0  2 |  0  0  0  0   2   0   0   2  0  0  1  0  0 |  *  * *  *  * 96  *  *  *  *  *  * * | 0  0  1  1 0 0
.. xo3ox ..&#x ♦  3   3 |   3  0   6   0   3  0 |  0  1  0  0   0   3   3   0  0  0  0  1  0 |  *  * *  *  *  * 64  *  *  *  *  * * | 0  1  0  0 1 0
.. xo .. xx&#x ♦  4   2 |   2  2   4   0   0  1 |  0  0  1  0   0   2   0   2  0  0  0  0  0 |  *  * *  *  *  *  * 96  *  *  *  * * | 0  0  1  0 1 0
.. .. ox4xx&#x ♦  4   8 |   0  4   8   0   4  4 |  0  0  0  1   0   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   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   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  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  0  8  6 |  *  * *  *  *  *  *  *  *  *  *  * 8 | 0  0  0  0 1 1
---------------+--------+-----------------------+--------------------------------------------+--------------------------------------+---------------
o.3x.3o.4x.    ♦ 96   0 | 192 96   0   0   0  0 | 64 64 96 24   0   0   0   0  0  0  0  0  0 | 16 32 8  0  0  0  0  0  0  0  0  0 0 | 1  *  *  * * *
ox3xo3ox ..&#x ♦  6  12 |  12  0  24  12  12  0 |  4  4  0  0  12  12  12   0  4  6  0  4  0 |  1  0 0  4  6  0  4  0  0  1  0  0 0 | * 16  *  * * *
ox3xo .. xx&#x ♦  6   6 |   6  3  12   6   0  3 |  2  0  3  0   6   6   0   6  2  0  3  0  0 |  0  1 0  2  0  3  0  3  0  0  1  0 0 | *  * 32  * * *
ox .. ox4xx&#x ♦  4  16 |   0  4  16   8   8  8 |  0  0  0  1   8   0   8   8  0  4  4  0  2 |  0  0 0  0  4  4  0  0  2  0  0  1 0 | *  *  * 24 * *
.. xo3ox4xx&#x ♦ 24  24 |  24 24  48   0  24 12 |  0  8 12  6   0  24  24  24  0  0  0  8  6 |  0  0 1  0  0  0  8 12  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   0 64 96 96 64 48 |  0  0 0  0  0  0  0  0  0 16 32 24 8 | *  *  *  * * 1