It either can be thought of as a degenerate 6D segmentotope with zero height, or as a 5D euclidean decomposition of the larger base into smaller bits.

Incidence matrix according to Dynkin symbol

ox3xx3oo3oo3ox&#x   → height = 0
(rix || cappix)

o.3o.3o.3o.3o.    | 15   * |  8   8  0   0   0 |  4 12  4  24  12  0  0   0   0   0 |  6  8 12  6  24  24   8  0  0  0  0  0  0  0 | 4 2 12 12  4  8 12  8  2 0  0  0  0 0 | 1 4  6  4  1 2 0
.o3.o3.o3.o3.o    |  * 120 |  0   1  1   3   3 |  0  0  1   3   3  3  3   3   6   3 |  0  0  3  3   3   6   3  3  6  3  1  3  3  1 | 0 0  3  6  3  1  3  3  1 1  3  3  1 1 | 0 1  3  3  1 1 1
------------------+--------+-------------------+------------------------------------+----------------------------------------------+---------------------------------------+-----------------
.. x. .. .. ..    |  2   0 | 60   *  *   *   * |  1  3  0   3   0  0  0   0   0   0 |  3  3  3  0   6   3   0  0  0  0  0  0  0  0 | 3 1  6  3  0  3  3  1  0 0  0  0  0 0 | 1 3  3  1  0 1 0
oo3oo3oo3oo3oo&#x |  1   1 |  * 120  *   *   * |  0  0  1   3   3  0  0   0   0   0 |  0  0  3  3   3   6   3  0  0  0  0  0  0  0 | 0 0  3  6  3  1  3  3  1 0  0  0  0 0 | 0 1  3  3  1 1 0
.x .. .. .. ..    |  0   2 |  *   * 60   *   * |  0  0  1   0   0  3  3   0   0   0 |  0  0  3  3   0   0   0  3  6  3  0  0  0  0 | 0 0  3  6  3  0  0  0  0 1  3  3  1 0 | 0 1  3  3  1 0 1
.. .x .. .. ..    |  0   2 |  *   *  * 180   * |  0  0  0   1   0  1  0   2   2   0 |  0  0  1  0   2   2   0  2  2  0  1  2  1  0 | 0 0  2  2  0  1  2  1  0 1  2  1  0 1 | 0 1  2  1  0 1 1
.. .. .. .. .x    |  0   2 |  *   *  *   * 180 |  0  0  0   0   1  0  1   0   2   2 |  0  0  0  1   0   2   2  0  2  2  0  1  2  1 | 0 0  0  2  2  0  1  2  1 0  1  2  1 1 | 0 0  1  2  1 1 1
------------------+--------+-------------------+------------------------------------+----------------------------------------------+---------------------------------------+-----------------
o.3x. .. .. ..    |  3   0 |  3   0  0   0   0 | 20  *  *   *   *  *  *   *   *   * |  3  0  3  0   0   0   0  0  0  0  0  0  0  0 | 3 0  6  3  0  0  0  0  0 0  0  0  0 0 | 1 3  3  1  0 0 0
.. x.3o. .. ..    |  3   0 |  3   0  0   0   0 |  * 60  *   *   *  *  *   *   *   * |  1  2  0  0   2   0   0  0  0  0  0  0  0  0 | 2 1  2  0  0  2  1  0  0 0  0  0  0 0 | 1 2  1  0  0 1 0
ox .. .. .. ..&#x |  1   2 |  0   2  1   0   0 |  *  * 60   *   *  *  *   *   *   * |  0  0  3  3   0   0   0  0  0  0  0  0  0  0 | 0 0  3  6  3  0  0  0  0 0  0  0  0 0 | 0 1  3  3  1 0 0
.. xx .. .. ..&#x |  2   2 |  1   2  0   1   0 |  *  *  * 180   *  *  *   *   *   * |  0  0  1  0   2   2   0  0  0  0  0  0  0  0 | 0 0  2  2  0  1  2  1  0 0  0  0  0 0 | 0 1  2  1  0 1 0
.. .. .. .. ox&#x |  1   2 |  0   2  0   0   1 |  *  *  *   * 180  *  *   *   *   * |  0  0  0  1   0   2   2  0  0  0  0  0  0  0 | 0 0  0  2  2  0  1  2  1 0  0  0  0 0 | 0 0  1  2  1 1 0
.x3.x .. .. ..    |  0   6 |  0   0  3   3   0 |  *  *  *   *   * 60  *   *   *   * |  0  0  1  0   0   0   0  2  2  0  0  0  0  0 | 0 0  2  2  0  0  0  0  0 1  2  1  0 0 | 0 1  2  1  0 0 1
.x .. .. .. .x    |  0   4 |  0   0  2   0   2 |  *  *  *   *   *  * 90   *   *   * |  0  0  0  1   0   0   0  0  2  2  0  0  0  0 | 0 0  0  2  2  0  0  0  0 0  1  2  1 0 | 0 0  1  2  1 0 1
.. .x3.o .. ..    |  0   3 |  0   0  0   3   0 |  *  *  *   *   *  *  * 120   *   * |  0  0  0  0   1   0   0  1  0  0  1  1  0  0 | 0 0  1  0  0  1  1  0  0 1  1  0  0 1 | 0 1  1  0  0 1 1
.. .x .. .. .x    |  0   4 |  0   0  0   2   2 |  *  *  *   *   *  *  *   * 180   * |  0  0  0  0   0   1   0  0  1  0  0  1  1  0 | 0 0  0  1  0  0  1  1  0 0  1  1  0 1 | 0 0  1  1  0 1 1
.. .. .. .o3.x    |  0   3 |  0   0  0   0   3 |  *  *  *   *   *  *  *   *   * 120 |  0  0  0  0   0   0   1  0  0  1  0  0  1  1 | 0 0  0  0  1  0  0  1  1 0  0  1  1 1 | 0 0  0  1  1 1 1
------------------+--------+-------------------+------------------------------------+----------------------------------------------+---------------------------------------+-----------------
o.3x.3o. .. ..    ♦  6   0 | 12   0  0   0   0 |  4  4  0   0   0  0  0   0   0   0 | 15  *  *  *   *   *   *  *  *  *  *  *  *  * | 2 0  2  0  0  0  0  0  0 0  0  0  0 0 | 1 2  1  0  0 0 0
.. x.3o.3o. ..    ♦  4   0 |  6   0  0   0   0 |  0  4  0   0   0  0  0   0   0   0 |  * 30  *  *   *   *   *  *  *  *  *  *  *  * | 1 1  0  0  0  1  0  0  0 0  0  0  0 0 | 1 1  0  0  0 1 0
ox3xx .. .. ..&#x ♦  3   6 |  3   6  3   3   0 |  1  0  3   3   0  1  0   0   0   0 |  *  * 60  *   *   *   *  *  *  *  *  *  *  * | 0 0  2  2  0  0  0  0  0 0  0  0  0 0 | 0 1  2  1  0 0 0
ox .. .. .. ox&#x ♦  1   4 |  0   4  2   0   2 |  0  0  2   0   2  0  1   0   0   0 |  *  *  * 90   *   *   *  *  *  *  *  *  *  * | 0 0  0  2  2  0  0  0  0 0  0  0  0 0 | 0 0  1  2  1 0 0
.. xx3oo .. ..&#x ♦  3   3 |  3   3  0   3   0 |  0  1  0   3   0  0  0   1   0   0 |  *  *  *  * 120   *   *  *  *  *  *  *  *  * | 0 0  1  0  0  1  1  0  0 0  0  0  0 0 | 0 1  1  0  0 1 0
.. xx .. .. ox&#x ♦  2   4 |  1   4  0   2   2 |  0  0  0   2   2  0  0   0   1   0 |  *  *  *  *   * 180   *  *  *  *  *  *  *  * | 0 0  0  1  0  0  1  1  0 0  0  0  0 0 | 0 0  1  1  0 1 0
.. .. .. oo3ox&#x ♦  1   3 |  0   3  0   0   3 |  0  0  0   0   3  0  0   0   0   1 |  *  *  *  *   *   * 120  *  *  *  *  *  *  * | 0 0  0  0  1  0  0  1  1 0  0  0  0 0 | 0 0  0  1  1 1 0
.x3.x3.o .. ..    ♦  0  12 |  0   0  6  12   0 |  0  0  0   0   0  4  0   4   0   0 |  *  *  *  *   *   *   * 30  *  *  *  *  *  * | 0 0  1  0  0  0  0  0  0 1  1  0  0 0 | 0 1  1  0  0 0 1
.x3.x .. .. .x    ♦  0  12 |  0   0  6   6   6 |  0  0  0   0   0  2  3   0   3   0 |  *  *  *  *   *   *   *  * 60  *  *  *  *  * | 0 0  0  1  0  0  0  0  0 0  1  1  0 0 | 0 0  1  1  0 0 1
.x .. .. .o3.x    ♦  0   6 |  0   0  3   0   6 |  0  0  0   0   0  0  3   0   0   2 |  *  *  *  *   *   *   *  *  * 60  *  *  *  * | 0 0  0  0  1  0  0  0  0 0  0  1  1 0 | 0 0  0  1  1 0 1
.. .x3.o3.o ..    ♦  0   4 |  0   0  0   6   0 |  0  0  0   0   0  0  0   4   0   0 |  *  *  *  *   *   *   *  *  *  * 30  *  *  * | 0 0  0  0  0  1  0  0  0 1  0  0  0 1 | 0 1  0  0  0 1 1
.. .x3.o .. .x    ♦  0   6 |  0   0  0   6   3 |  0  0  0   0   0  0  0   2   3   0 |  *  *  *  *   *   *   *  *  *  *  * 60  *  * | 0 0  0  0  0  0  1  0  0 0  1  0  0 1 | 0 0  1  0  0 1 1
.. .x .. .o3.x    ♦  0   6 |  0   0  0   3   6 |  0  0  0   0   0  0  0   0   3   2 |  *  *  *  *   *   *   *  *  *  *  *  * 60  * | 0 0  0  0  0  0  0  1  0 0  0  1  0 1 | 0 0  0  1  0 1 1
.. .. .o3.o3.x    ♦  0   4 |  0   0  0   0   6 |  0  0  0   0   0  0  0   0   0   4 |  *  *  *  *   *   *   *  *  *  *  *  *  * 30 | 0 0  0  0  0  0  0  0  1 0  0  0  1 1 | 0 0  0  0  1 1 1
------------------+--------+-------------------+------------------------------------+----------------------------------------------+---------------------------------------+-----------------
o.3x.3o.3o. ..    ♦ 10   0 | 30   0  0   0   0 | 10 20  0   0   0  0  0   0   0   0 |  5  5  0  0   0   0   0  0  0  0  0  0  0  0 | 6 *  *  *  *  *  *  *  * *  *  *  * * | 1 1  0  0  0 0 0
.. x.3o.3o.3o.    ♦  5   0 | 10   0  0   0   0 |  0 10  0   0   0  0  0   0   0   0 |  0  5  0  0   0   0   0  0  0  0  0  0  0  0 | * 6  *  *  *  *  *  *  * *  *  *  * * | 1 0  0  0  0 1 0
ox3xx3oo .. ..&#x ♦  6  12 | 12  12  6  12   0 |  4  4  6  12   0  4  0   4   0   0 |  1  0  4  0   4   0   0  1  0  0  0  0  0  0 | * * 30  *  *  *  *  *  * *  *  *  * * | 0 1  1  0  0 0 0
ox3xx .. .. ox&#x ♦  3  12 |  3  12  6   6   6 |  1  0  6   6   6  2  3   0   3   0 |  0  0  2  3   0   3   0  0  1  0  0  0  0  0 | * *  * 60  *  *  *  *  * *  *  *  * * | 0 0  1  1  0 0 0
ox .. .. oo3ox&#x ♦  1   6 |  0   6  3   0   6 |  0  0  3   0   6  0  3   0   0   2 |  0  0  0  3   0   0   2  0  0  1  0  0  0  0 | * *  *  * 60  *  *  *  * *  *  *  * * | 0 0  0  1  1 0 0
.. xx3oo3oo ..&#x ♦  4   4 |  6   4  0   6   0 |  0  4  0   6   0  0  0   4   0   0 |  0  1  0  0   4   0   0  0  0  0  1  0  0  0 | * *  *  *  * 30  *  *  * *  *  *  * * | 0 1  0  0  0 1 0
.. xx3oo .. ox&#x ♦  3   6 |  3   6  0   6   3 |  0  1  0   6   3  0  0   2   3   0 |  0  0  0  0   2   3   0  0  0  0  0  1  0  0 | * *  *  *  *  * 60  *  * *  *  *  * * | 0 0  1  0  0 1 0
.. xx .. oo3ox&#x ♦  2   6 |  1   6  0   3   6 |  0  0  0   3   6  0  0   0   3   2 |  0  0  0  0   0   3   2  0  0  0  0  0  1  0 | * *  *  *  *  *  * 60  * *  *  *  * * | 0 0  0  1  0 1 0
.. .. oo3oo3ox&#x ♦  1   4 |  0   4  0   0   6 |  0  0  0   0   6  0  0   0   0   4 |  0  0  0  0   0   0   4  0  0  0  0  0  0  1 | * *  *  *  *  *  *  * 30 *  *  *  * * | 0 0  0  0  1 1 0
.x3.x3.o3.o ..    ♦  0  20 |  0   0 10  30   0 |  0  0  0   0   0 10  0  20   0   0 |  0  0  0  0   0   0   0  5  0  0  5  0  0  0 | * *  *  *  *  *  *  *  * 6  *  *  * * | 0 1  0  0  0 0 1
.x3.x3.o .. .x    ♦  0  24 |  0   0 12  24  12 |  0  0  0   0   0  8  6   8  12   0 |  0  0  0  0   0   0   0  2  4  0  0  4  0  0 | * *  *  *  *  *  *  *  * * 15  *  * * | 0 0  1  0  0 0 1
.x3.x .. .o3.x    ♦  0  18 |  0   0  9   9  18 |  0  0  0   0   0  3  9   0   9   6 |  0  0  0  0   0   0   0  0  3  3  0  0  3  0 | * *  *  *  *  *  *  *  * *  * 20  * * | 0 0  0  1  0 0 1
.x .. .o3.o3.x    ♦  0   8 |  0   0  4   0  12 |  0  0  0   0   0  0  6   0   0   8 |  0  0  0  0   0   0   0  0  0  4  0  0  0  2 | * *  *  *  *  *  *  *  * *  *  * 15 * | 0 0  0  0  1 0 1
.. .x3.o3.o3.x    ♦  0  20 |  0   0  0  30  30 |  0  0  0   0   0  0  0  20  30  20 |  0  0  0  0   0   0   0  0  0  0  5 10 10  5 | * *  *  *  *  *  *  *  * *  *  *  * 6 | 0 0  0  0  0 1 1
------------------+--------+-------------------+------------------------------------+----------------------------------------------+---------------------------------------+-----------------
o.3x.3o.3o.3o.    ♦ 15   0 | 60   0  0   0   0 | 20 60  0   0   0  0  0   0   0   0 | 15 30  0  0   0   0   0  0  0  0  0  0  0  0 | 6 6  0  0  0  0  0  0  0 0  0  0  0 0 | 1 *  *  *  * * *
ox3xx3oo3oo ..&#x ♦ 10  20 | 30  20 10  30   0 | 10 20 10  30   0 10  0  20   0   0 |  5  5 10  0  20   0   0  5  0  0  5  0  0  0 | 1 0  5  0  0  5  0  0  0 1  0  0  0 0 | * 6  *  *  * * *
ox3xx3oo .. ox&#x ♦  6  24 | 12  24 12  24  12 |  4  4 12  24  12  8  6   8  12   0 |  1  0  8  6   8  12   0  2  4  0  0  4  0  0 | 0 0  2  4  0  0  4  0  0 0  1  0  0 0 | * * 15  *  * * *
ox3xx .. oo3ox&#x ♦  3  18 |  3  18  9   9  18 |  1  0  9   9  18  3  9   0   9   6 |  0  0  3  9   0   9   6  0  3  3  0  0  3  0 | 0 0  0  3  3  0  0  3  0 0  0  1  0 0 | * *  * 20  * * *
ox .. oo3oo3ox&#x ♦  1   8 |  0   8  4   0  12 |  0  0  4   0  12  0  6   0   0   8 |  0  0  0  6   0   0   8  0  0  4  0  0  0  2 | 0 0  0  0  4  0  0  0  2 0  0  0  1 0 | * *  *  * 15 * *
.. xx3oo3oo3ox&#x ♦  5  20 | 10  20  0  30  30 |  0 10  0  30  30  0  0  20  30  20 |  0  5  0  0  20  30  20  0  0  0  5 10 10  5 | 0 1  0  0  0  5 10 10  5 0  0  0  0 1 | * *  *  *  * 6 *
.x3.x3.o3.o3.x    ♦  0 120 |  0   0 60 180 180 |  0  0  0   0   0 60 90 120 180 120 |  0  0  0  0   0   0   0 30 60 60 30 60 60 30 | 0 0  0  0  0  0  0  0  0 6 15 20 15 6 | * *  *  *  * * 1