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

ox3ox3xo5oo&#x   → height = 0
(rahi || tex)

o.3o.3o.5o.    | 1200    * |    6    6   0    0 |    6   3    3    3   12    0    0 |   2   3    1    6    6    6   0   0 | 1   2   3   3 0
.o3.o3.o5.o    |    * 1440 |    0    5   1    5 |    0   0    5    5    5    5    5 |   0   0    5    5    5    1   5   1 | 0   5   1   1 1
---------------+-----------+--------------------+-----------------------------------+-------------------------------------+----------------
.. .. x. ..    |    2    0 | 3600    *   *    * |    2   1    0    0    2    0    0 |   1   2    0    1    2    2   0   0 | 1   1   1   2 0
oo3oo3oo5oo&#x |    1    1 |    * 7200   *    * |    0   0    1    1    2    0    0 |   0   0    1    2    2    1   0   0 | 0   2   1   1 0
.x .. .. ..    |    0    2 |    *    * 720    * |    0   0    5    0    0    5    0 |   0   0    5    5    0    0   5   0 | 0   5   1   0 1
.. .x .. ..    |    0    2 |    *    *   * 3600 |    0   0    0    1    0    1    2 |   0   0    1    0    2    0   2   1 | 0   2   0   1 1
---------------+-----------+--------------------+-----------------------------------+-------------------------------------+----------------
.. o.3x. ..    |    3    0 |    3    0   0    0 | 2400   *    *    *    *    *    * |   1   1    0    0    1    0   0   0 | 1   1   0   1 0
.. .. x.5o.    |    5    0 |    5    0   0    0 |    * 720    *    *    *    *    * |   0   2    0    0    0    2   0   0 | 1   0   1   2 0
ox .. .. ..&#x |    1    2 |    0    2   1    0 |    *   * 3600    *    *    *    * |   0   0    1    2    0    0   0   0 | 0   2   1   0 0
.. ox .. ..&#x |    1    2 |    0    2   0    1 |    *   *    * 3600    *    *    * |   0   0    1    0    2    0   0   0 | 0   2   0   1 0
.. .. xo ..&#x |    2    1 |    1    2   0    0 |    *   *    *    * 7200    *    * |   0   0    0    1    1    1   0   0 | 0   1   1   1 0
.x3.x .. ..    |    0    6 |    0    0   3    3 |    *   *    *    *    * 1200    * |   0   0    1    0    0    0   2   0 | 0   2   0   0 1
.. .x3.o ..    |    0    3 |    0    0   0    3 |    *   *    *    *    *    * 2400 |   0   0    0    0    1    0   1   1 | 0   1   0   1 1
---------------+-----------+--------------------+-----------------------------------+-------------------------------------+----------------
o.3o.3x. ..    ♦    4    0 |    6    0   0    0 |    4   0    0    0    0    0    0 | 600   *    *    *    *    *   *   * | 1   1   0   0 0
.. o.3x.5o.    ♦   30    0 |   60    0   0    0 |   20  12    0    0    0    0    0 |   * 120    *    *    *    *   *   * | 1   0   0   1 0
ox3ox .. ..&#x ♦    1    6 |    0    6   3    3 |    0   0    3    3    0    1    0 |   *   * 1200    *    *    *   *   * | 0   2   0   0 0
ox .. xo ..&#x ♦    2    2 |    1    4   1    0 |    0   0    2    0    2    0    0 |   *   *    * 3600    *    *   *   * | 0   1   1   0 0
.. ox3xo ..&#x ♦    3    3 |    3    6   0    3 |    1   0    0    3    3    0    1 |   *   *    *    * 2400    *   *   * | 0   1   0   1 0
.. .. xo5oo&#x ♦    5    1 |    5    5   0    0 |    0   1    0    0    5    0    0 |   *   *    *    *    * 1440   *   * | 0   0   1   1 0
.x3.x3.o ..    ♦    0   12 |    0    0   6   12 |    0   0    0    0    0    4    4 |   *   *    *    *    *    * 600   * | 0   1   0   0 1
.. .x3.o5.o    ♦    0   12 |    0    0   0   30 |    0   0    0    0    0    0   20 |   *   *    *    *    *    *   * 120 | 0   0   0   1 1
---------------+-----------+--------------------+-----------------------------------+-------------------------------------+----------------
o.3o.3x.5o.    ♦ 1200    0 | 3600    0   0    0 | 2400 720    0    0    0    0    0 | 600 120    0    0    0    0   0   0 | 1   *   *   * *
ox3ox3xo ..&#x ♦    4   12 |    6   24   6   12 |    4   0   12   12   12    4    4 |   1   0    4    6    4    0   1   0 | * 600   *   * *
ox .. xo5oo&#x ♦    5    2 |    5   10   1    0 |    0   1    5    0   10    0    0 |   0   0    0    5    0    2   0   0 | *   * 720   * *
.. ox3xo5oo&#x ♦   30   12 |   60   60   0   30 |   20  12    0   30   60    0   20 |   0   1    0    0   20   12   0   1 | *   *   * 120 *
.x3.x3.o5.o    ♦    0 1440 |    0    0 720 3600 |    0   0    0    0    0 1200 2400 |   0   0    0    0    0    0 600 120 | *   *   *   * 1