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

oo3ox3oo3oo4oo&#x   → height = 0
(point || rat)

o.3o.3o.3o.4o.    | 1  * ♦ 40   0 | 240  0   0 | 80 320  0   0 | 80 160  0  0 | 32 10 0
.o3.o3.o3.o4.o    | * 40 |  1  12 |  12  6  24 |  6  24 12  16 | 12  16  8  2 |  8  2 1
------------------+------+--------+------------+---------------+--------------+--------
oo3oo3oo3oo4oo&#x | 1  1 | 40   * ♦  12  0   0 |  6  24  0   0 | 12  16  0  0 |  8  2 0
.. .x .. .. ..    | 0  2 |  * 240 |   1  1   4 |  1   4  4   4 |  4   4  4  1 |  4  1 1
------------------+------+--------+------------+---------------+--------------+--------
.. ox .. .. ..&#x | 1  2 |  2   1 | 240  *   * ♦  1   4  0   0 |  4   4  0  0 |  4  1 0
.o3.x .. .. ..    | 0  3 |  0   3 |   * 80   * |  1   0  4   0 |  4   0  4  0 |  4  0 1
.. .x3.o .. ..    | 0  3 |  0   3 |   *  * 320 |  0   1  1   2 |  1   2  2  1 |  2  1 1
------------------+------+--------+------------+---------------+--------------+--------
oo3ox .. .. ..&#x ♦ 1  3 |  3   3 |   3  1   0 | 80   *  *   * |  4   0  0  0 |  4  0 0
.. ox3oo .. ..&#x ♦ 1  3 |  3   3 |   3  0   1 |  * 320  *   * |  1   2  0  0 |  2  1 0
.o3.x3.o .. ..    ♦ 0  6 |  0  12 |   0  4   4 |  *   * 80   * |  1   0  2  0 |  2  0 1
.. .x3.o3.o ..    ♦ 0  4 |  0   6 |   0  0   4 |  *   *  * 160 |  0   1  1  1 |  1  1 1
------------------+------+--------+------------+---------------+--------------+--------
oo3ox3oo .. ..&#x ♦ 1  6 |  6  12 |  12  4   4 |  4   4  1   0 | 80   *  *  * |  2  0 0
.. ox3oo3oo ..&#x ♦ 1  4 |  4   6 |   6  0   4 |  0   4  0   1 |  * 160  *  * |  1  1 0
.o3.x3.o3.o ..    ♦ 0 10 |  0  30 |   0 10  20 |  0   0  5   5 |  *   * 32  * |  1  0 1
.. .x3.o3.o4.o    ♦ 0  8 |  0  24 |   0  0  32 |  0   0  0  16 |  *   *  * 10 |  0  1 1
------------------+------+--------+------------+---------------+--------------+--------
oo3ox3oo3oo ..&#x ♦ 1 10 | 10  30 |  30 10  20 | 10  20  5   5 |  5   5  1  0 | 32  * *
.. ox3oo3oo4oo&#x ♦ 1  8 |  8  24 |  24  0  32 |  0  32  0  16 |  0  16  0  1 |  * 10 *
.o3.x3.o3.o4.o    ♦ 0 40 |  0 240 |   0 80 320 |  0   0 80 160 |  0   0 32 10 |  *  * 1

oo3oo3oo *b3ox3oo&#x   → height = 0
(point || rat)

o.3o.3o. *b3o.3o.    | 1  * ♦ 40   0 | 240   0  0 | 320 80  0  0  0 | 80 80 80  0  0  0 | 10 16 16 0
.o3.o3.o *b3.o3.o    | * 40 |  1  12 |  12  24  6 |  24  6  8  8 12 |  8  8 12  2  4  4 |  2  4  4 1
---------------------+------+--------+------------+-----------------+-------------------+-----------
oo3oo3oo *b3oo3oo&#x | 1  1 | 40   * ♦  12   0  0 |  24  6  0  0  0 |  8  8 12  0  0  0 |  2  4  4 0
.. .. ..    .x ..    | 0  2 |  * 240 |   1   4  1 |   4  1  2  2  4 |  2  2  4  1  2  2 |  1  2  2 1
---------------------+------+--------+------------+-----------------+-------------------+-----------
.. .. ..    ox ..&#x | 1  2 |  2   1 | 240   *  * ♦   4  1  0  0  0 |  2  2  4  0  0  0 |  1  2  2 0
.. .o .. *b3.x ..    | 0  3 |  0   3 |   * 320  * |   1  0  1  1  1 |  1  1  1  1  1  1 |  1  1  1 1
.. .. ..    .x3.o    | 0  3 |  0   3 |   *   * 80 |   0  1  0  0  4 |  0  0  4  0  2  2 |  0  2  2 1
---------------------+------+--------+------------+-----------------+-------------------+-----------
.. oo .. *b3ox ..&#x ♦ 1  3 |  3   3 |   3   1  0 | 320  *  *  *  * |  1  1  1  0  0  0 |  1  1  1 0
.. .. ..    ox3oo&#x ♦ 1  3 |  3   3 |   3   0  1 |   * 80  *  *  * |  0  0  4  0  0  0 |  0  2  2 0
.o3.o .. *b3.x ..    ♦ 0  4 |  0   6 |   0   4  0 |   *  * 80  *  * |  1  0  0  1  1  0 |  1  1  0 1
.. .o3.o *b3.x ..    ♦ 0  4 |  0   6 |   0   4  0 |   *  *  * 80  * |  0  1  0  1  0  1 |  1  0  1 1
.. .o .. *b3.x3.o    ♦ 0  6 |  0  12 |   0   4  4 |   *  *  *  * 80 |  0  0  1  0  1  1 |  0  1  1 1
---------------------+------+--------+------------+-----------------+-------------------+-----------
oo3oo .. *b3ox ..&#x ♦ 1  4 |  4   6 |   6   4  0 |   4  0  1  0  0 | 80  *  *  *  *  * |  1  1  0 0
.. oo3oo *b3ox ..&#x ♦ 1  4 |  4   6 |   6   4  0 |   4  0  0  1  0 |  * 80  *  *  *  * |  1  0  1 0
.. oo .. *b3ox3oo&#x ♦ 1  6 |  6  12 |  12   4  4 |   4  4  0  0  1 |  *  * 80  *  *  * |  0  1  1 0
.o3.o3.o *b3.x ..    ♦ 0  8 |  0  24 |   0  32  0 |   0  0  8  8  0 |  *  *  * 10  *  * |  1  0  0 1
.o3.o .. *b3.x3.o    ♦ 0 10 |  0  30 |   0  20 10 |   0  0  5  0  5 |  *  *  *  * 16  * |  0  1  0 1
.. .o3.o *b3.x3.o    ♦ 0 10 |  0  30 |   0  20 10 |   0  0  0  5  5 |  *  *  *  *  * 16 |  0  0  1 1
---------------------+------+--------+------------+-----------------+-------------------+-----------
oo3oo3oo *b3ox ..&#x ♦ 1  8 |  8  24 |  24  32  0 |  32  0  8  8  0 |  8  8  0  1  0  0 | 10  *  * *
oo3oo .. *b3ox3oo&#x ♦ 1 10 | 10  30 |  30  20 10 |  20 10  5  0  5 |  5  0  5  0  1  0 |  * 16  * *
.. oo3oo *b3ox3oo&#x ♦ 1 10 | 10  30 |  30  20 10 |  20 10  0  5  5 |  0  5  5  0  0  1 |  *  * 16 *
.o3.o3.o *b3.x3.o    ♦ 0 40 |  0 240 |   0 320 80 |   0  0 80 80 80 |  0  0  0 10 16 16 |  *  *  * 1