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

xx3xx3xx4ox&#x   → height = 0
(tico || gidpith)

o.3o.3o.4o.    | 192   * |  1  1   2   2   0   0   0   0 |  1  2  2  1   2   2   2   1  0  0  0  0  0  0 |  2  1 1  2  2  1  2  1  1  0  0  0 0 | 1  2  1  1 1 0
.o3.o3.o4.o    |   * 384 |  0  0   0   1   1   1   1   1 |  0  0  0  0   1   1   1   1  1  1  1  1  1  1 |  0  0 0  1  1  1  1  1  1  1  1  1 1 | 0  1  1  1 1 1
---------------+---------+-------------------------------+-----------------------------------------------+--------------------------------------+---------------
x. .. .. ..    |   2   0 | 96  *   *   *   *   *   *   * |  1  2  0  0   2   0   0   0  0  0  0  0  0  0 |  2  1 0  2  2  1  0  0  0  0  0  0 0 | 1  2  1  1 0 0
.. x. .. ..    |   2   0 |  * 96   *   *   *   *   *   * |  1  0  2  0   0   2   0   0  0  0  0  0  0  0 |  2  0 1  2  0  0  2  1  0  0  0  0 0 | 1  2  1  0 1 0
.. .. x. ..    |   2   0 |  *  * 192   *   *   *   *   * |  0  1  1  1   0   0   1   0  0  0  0  0  0  0 |  1  1 1  0  1  0  1  0  1  0  0  0 0 | 1  1  0  1 1 0
oo3oo3oo4oo&#x |   1   1 |  *  *   * 384   *   *   *   * |  0  0  0  0   1   1   1   1  0  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 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   1   0   0  1  0  0  1  1  0 |  0  0 0  1  0  0  1  1  0  1  1  0 1 | 0  1  1  0 1 1
.. .. .x ..    |   0   2 |  *  *   *   *   *   * 192   * |  0  0  0  0   0   0   1   0  0  1  0  1  0  1 |  0  0 0  0  1  0  1  0  1  1  0  1 1 | 0  1  0  1 1 1
.. .. .. .x    |   0   2 |  *  *   *   *   *   *   * 192 |  0  0  0  0   0   0   0   1  0  0  1  0  1  1 |  0  0 0  0  0  1  0  1  1  0  1  1 1 | 0  0  1  1 1 1
---------------+---------+-------------------------------+-----------------------------------------------+--------------------------------------+---------------
x.3x. .. ..    |   6   0 |  3  3   0   0   0   0   0   0 | 32  *  *  *   *   *   *   *  *  *  *  *  *  * |  2  0 0  2  0  0  0  0  0  0  0  0 0 | 1  2  1  0 0 0
x. .. x. ..    |   4   0 |  2  0   2   0   0   0   0   0 |  * 96  *  *   *   *   *   *  *  *  *  *  *  * |  1  1 0  0  1  0  0  0  0  0  0  0 0 | 1  1  0  1 0 0
.. x.3x. ..    |   6   0 |  0  3   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.4o.    |   4   0 |  0  0   4   0   0   0   0   0 |  *  *  * 48   *   *   *   *  *  *  *  *  *  * |  0  1 1  0  0  0  0  0  1  0  0  0 0 | 1  0  0  1 1 0
xx .. .. ..&#x |   2   2 |  1  0   0   2   1   0   0   0 |  *  *  *  * 192   *   *   *  *  *  *  *  *  * |  0  0 0  1  1  1  0  0  0  0  0  0 0 | 0  1  1  1 0 0
.. xx .. ..&#x |   2   2 |  0  1   0   2   0   1   0   0 |  *  *  *  *   * 192   *   *  *  *  *  *  *  * |  0  0 0  1  0  0  1  1  0  0  0  0 0 | 0  1  1  0 1 0
.. .. xx ..&#x |   2   2 |  0  0   1   2   0   0   1   0 |  *  *  *  *   *   * 192   *  *  *  *  *  *  * |  0  0 0  0  1  0  1  0  1  0  0  0 0 | 0  1  0  1 1 0
.. .. .. ox&#x |   1   2 |  0  0   0   2   0   0   0   1 |  *  *  *  *   *   *   * 192  *  *  *  *  *  * |  0  0 0  0  0  1  0  1  1  0  0  0 0 | 0  0  1  1 1 0
.x3.x .. ..    |   0   6 |  0  0   0   0   3   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   0   2   0   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   0   2   0   0   2 |  *  *  *  *   *   *   *   *  *  * 96  *  *  * |  0  0 0  0  0  1  0  0  0  0  1  1 0 | 0  0  1  1 0 1
.. .x3.x ..    |   0   6 |  0  0   0   0   0   3   3   0 |  *  *  *  *   *   *   *   *  *  *  * 64  *  * |  0  0 0  0  0  0  1  0  0  1  0  0 1 | 0  1  0  0 1 1
.. .x .. .x    |   0   4 |  0  0   0   0   0   2   0   2 |  *  *  *  *   *   *   *   *  *  *  *  * 96  * |  0  0 0  0  0  0  0  1  0  0  1  0 1 | 0  0  1  0 1 1
.. .. .x4.x    |   0   8 |  0  0   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
---------------+---------+-------------------------------+-----------------------------------------------+--------------------------------------+---------------
x.3x.3x. ..    ♦  24   0 | 12 12  12   0   0   0   0   0 |  4  6  4  0   0   0   0   0  0  0  0  0  0  0 | 16  * *  *  *  *  *  *  *  *  *  * * | 1  1  0  0 0 0
x. .. x.4o.    ♦   8   0 |  4  0   8   0   0   0   0   0 |  0  4  0  2   0   0   0   0  0  0  0  0  0  0 |  * 24 *  *  *  *  *  *  *  *  *  * * | 1  0  0  1 0 0
.. x.3x.4o.    ♦  24   0 |  0 12  24   0   0   0   0   0 |  0  0  8  6   0   0   0   0  0  0  0  0  0  0 |  *  * 8  *  *  *  *  *  *  *  *  * * | 1  0  0  0 1 0
xx3xx .. ..&#x ♦   6   6 |  3  3   0   6   3   3   0   0 |  1  0  0  0   3   3   0   0  1  0  0  0  0  0 |  *  * * 64  *  *  *  *  *  *  *  * * | 0  1  1  0 0 0
xx .. xx ..&#x ♦   4   4 |  2  0   2   4   2   0   2   0 |  0  1  0  0   2   0   2   0  0  1  0  0  0  0 |  *  * *  * 96  *  *  *  *  *  *  * * | 0  1  0  1 0 0
xx .. .. ox&#x ♦   2   4 |  1  0   0   4   2   0   0   2 |  0  0  0  0   2   0   0   2  0  0  1  0  0  0 |  *  * *  *  * 96  *  *  *  *  *  * * | 0  0  1  1 0 0
.. xx3xx ..&#x ♦   6   6 |  0  3   3   6   0   3   3   0 |  0  0  1  0   0   3   3   0  0  0  0  1  0  0 |  *  * *  *  *  * 64  *  *  *  *  * * | 0  1  0  0 1 0
.. xx .. ox&#x ♦   2   4 |  0  1   0   4   0   2   0   2 |  0  0  0  0   0   2   0   2  0  0  0  0  1  0 |  *  * *  *  *  *  * 96  *  *  *  * * | 0  0  1  0 1 0
.. .. xx4ox&#x ♦   4   8 |  0  0   4   8   0   0   4   4 |  0  0  0  1   0   0   4   4  0  0  0  0  0  1 |  *  * *  *  *  *  *  * 48  *  *  * * | 0  0  0  1 1 0
.x3.x3.x ..    ♦   0  24 |  0  0   0   0  12  12  12   0 |  0  0  0  0   0   0   0   0  4  6  0  4  0  0 |  *  * *  *  *  *  *  *  * 16  *  * * | 0  1  0  0 0 1
.x3.x .. .x    ♦   0  12 |  0  0   0   0   6   6   0   6 |  0  0  0  0   0   0   0   0  2  0  3  0  3  0 |  *  * *  *  *  *  *  *  *  * 32  * * | 0  0  1  0 0 1
.x .. .x4.x    ♦   0  16 |  0  0   0   0   8   0   8   8 |  0  0  0  0   0   0   0   0  0  4  4  0  0  2 |  *  * *  *  *  *  *  *  *  *  * 24 * | 0  0  0  1 0 1
.. .x3.x4.x    ♦   0  48 |  0  0   0   0   0  24  24  24 |  0  0  0  0   0   0   0   0  0  0  0  8 12  6 |  *  * *  *  *  *  *  *  *  *  *  * 8 | 0  0  0  0 1 1
---------------+---------+-------------------------------+-----------------------------------------------+--------------------------------------+---------------
x.3x.3x.4o.    ♦ 192   0 | 96 96 192   0   0   0   0   0 | 32 96 64 48   0   0   0   0  0  0  0  0  0  0 | 16 24 8  0  0  0  0  0  0  0  0  0 0 | 1  *  *  * * *
xx3xx3xx ..&#x ♦  24  24 | 12 12  12  24  12  12  12   0 |  4  6  4  0  12  12  12   0  4  6  0  4  0  0 |  1  0 0  4  6  0  4  0  0  1  0  0 0 | * 16  *  * * *
xx3xx .. ox&#x ♦   6  12 |  3  3   0  12   6   6   0   6 |  1  0  0  0   6   6   0   6  2  0  3  0  3  0 |  0  0 0  2  0  3  0  3  0  0  1  0 0 | *  * 32  * * *
xx .. xx4ox&#x ♦   8  16 |  4  0   8  16   8   0   8   8 |  0  4  0  2   8   0   8   8  0  4  4  0  0  2 |  0  1 0  0  4  4  0  0  2  0  0  1 0 | *  *  * 24 * *
.. xx3xx4ox&#x ♦  24  48 |  0 12  24  48   0  24  24  24 |  0  0  8  6   0  24  24  24  0  0  0  8 12  6 |  0  0 1  0  0  0  8 12  6  0  0  0 1 | *  *  *  * 8 *
.x3.x3.x4.x    ♦   0 384 |  0  0   0   0 192 192 192 192 |  0  0  0  0   0   0   0   0 64 96 96 64 96 48 |  0  0 0  0  0  0  0  0  0 16 32 24 8 | *  *  *  * * 1