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

oo3ox3xx4oo&#x   → height = 0
(rit || tah)

o.3o.3o.4o.    | 32  * |  6  3  0  0 |  6  3  3  6  0  0  0 |  2 3  1  6  3  0 0 | 1  2 3 0
.o3.o3.o4.o    |  * 96 |  0  1  2  2 |  0  0  2  2  1  4  1 |  0 0  1  4  1  2 2 | 0  2 2 1
---------------+-------+-------------+----------------------+--------------------+---------
.. .. x. ..    |  2  0 | 96  *  *  * |  2  1  0  1  0  0  0 |  1 2  0  2  1  0 0 | 1  1 2 0
oo3oo3oo4oo&#x |  1  1 |  * 96  *  * |  0  0  2  2  0  0  0 |  0 0  1  4  1  0 0 | 0  2 2 0
.. .x .. ..    |  0  2 |  *  * 96  * |  0  0  1  0  1  2  0 |  0 0  1  2  0  2 1 | 0  2 1 1
.. .. .x ..    |  0  2 |  *  *  * 96 |  0  0  0  1  0  2  1 |  0 0  0  2  1  1 2 | 0  1 2 1
---------------+-------+-------------+----------------------+--------------------+---------
.. o.3x. ..    |  3  0 |  3  0  0  0 | 64  *  *  *  *  *  * |  1 1  0  1  0  0 0 | 1  1 1 0
.. .. x.4o.    |  4  0 |  4  0  0  0 |  * 24  *  *  *  *  * |  0 2  0  0  1  0 0 | 1  0 2 0
.. ox .. ..&#x |  1  2 |  0  2  1  0 |  *  * 96  *  *  *  * |  0 0  1  2  0  0 0 | 0  2 1 0
.. .. xx ..&#x |  2  2 |  1  2  0  1 |  *  *  * 96  *  *  * |  0 0  0  2  1  0 0 | 0  1 2 0
.o3.x .. ..    |  0  3 |  0  0  3  0 |  *  *  *  * 32  *  * |  0 0  1  0  0  2 0 | 0  2 0 1
.. .x3.x ..    |  0  6 |  0  0  3  3 |  *  *  *  *  * 64  * |  0 0  0  1  0  1 1 | 0  1 1 1
.. .. .x4.o    |  0  4 |  0  0  0  4 |  *  *  *  *  *  * 24 |  0 0  0  0  1  0 2 | 0  0 2 1
---------------+-------+-------------+----------------------+--------------------+---------
o.3o.3x. ..    ♦  4  0 |  6  0  0  0 |  4  0  0  0  0  0  0 | 16 *  *  *  *  * * | 1  1 0 0
.. o.3x.4o.    ♦ 12  0 | 24  0  0  0 |  8  6  0  0  0  0  0 |  * 8  *  *  *  * * | 1  0 1 0
oo3ox .. ..&#x ♦  1  3 |  0  3  3  0 |  0  0  3  0  1  0  0 |  * * 32  *  *  * * | 0  2 0 0
.. ox3xx ..&#x ♦  3  6 |  3  6  3  3 |  1  0  3  3  0  1  0 |  * *  * 64  *  * * | 0  1 1 0
.. .. xx4oo&#x ♦  4  4 |  4  4  0  4 |  0  1  0  4  0  0  1 |  * *  *  * 24  * * | 0  0 2 0
.o3.x3.x ..    ♦  0 12 |  0  0 12  6 |  0  0  0  0  4  4  0 |  * *  *  *  * 16 * | 0  1 0 1
.. .x3.x4.o    ♦  0 24 |  0  0 12 24 |  0  0  0  0  0  8  6 |  * *  *  *  *  * 8 | 0  0 1 1
---------------+-------+-------------+----------------------+--------------------+---------
o.3o.3x.4o.    ♦ 32  0 | 96  0  0  0 | 64 24  0  0  0  0  0 | 16 8  0  0  0  0 0 | 1  * * *
oo3ox3xx ..&#x ♦  4 12 |  6 12 12  6 |  4  0 12  6  4  4  0 |  1 0  4  4  0  1 0 | * 16 * *
.. ox3xx4oo&#x ♦ 12 24 | 24 24 12 24 |  8  6 12 24  0  8  6 |  0 1  0  8  6  0 1 | *  * 8 *
.o3.x3.x4.o    ♦  0 96 |  0  0 96 96 |  0  0  0  0 32 64 24 |  0 0  0  0  0 16 8 | *  * * 1

oo3ox3xx *b3xx&#x   → height = 0
(rit || tah)

o.3o.3o. *b3o.    | 32  * |  3  3  3  0  0  0 |  3  3  3  3  3  3  0  0  0  0 | 1 1 3  1  3  3  3 0 0 0 | 1 1 1 3 0
.o3.o3.o *b3.o    |  * 96 |  0  0  1  2  1  1 |  0  0  0  2  1  1  1  2  2  1 | 0 0 0  1  2  2  1 1 1 2 | 0 1 1 2 1
------------------+-------+-------------------+-------------------------------+-------------------------+----------
.. .. x.   ..     |  2  0 | 48  *  *  *  *  * |  2  0  1  0  1  0  0  0  0  0 | 1 1 2  0  2  0  1 0 0 0 | 1 1 0 2 0
.. .. ..   x.     |  2  0 |  * 48  *  *  *  * |  0  2  1  0  0  1  0  0  0  0 | 0 0 2  0  0  2  1 0 0 0 | 1 0 1 2 0
oo3oo3oo *b3oo&#x |  1  1 |  *  * 96  *  *  * |  0  0  0  2  1  1  0  0  0  0 | 0 0 0  1  2  2  1 0 0 0 | 0 1 1 2 0
.. .x ..    ..    |  0  2 |  *  *  * 96  *  * |  0  0  0  1  0  0  1  1  1  0 | 0 0 0  1  1  1  0 1 1 1 | 0 1 1 1 1
.. .. .x    ..    |  0  2 |  *  *  *  * 48  * |  0  0  0  0  1  0  0  2  0  1 | 0 0 0  0  2  0  1 1 0 2 | 0 1 0 2 1
.. .. ..    .x    |  0  2 |  *  *  *  *  * 48 |  0  0  0  0  0  1  0  0  2  1 | 0 0 0  0  0  2  1 0 1 2 | 0 0 1 2 1
------------------+-------+-------------------+-------------------------------+-------------------------+----------
.. o.3x.    ..    |  3  0 |  3  0  0  0  0  0 | 32  *  *  *  *  *  *  *  *  * | 1 0 1  0  1  0  0 0 0 0 | 1 1 0 1 0
.. o. .. *b3x.    |  3  0 |  0  3  0  0  0  0 |  * 32  *  *  *  *  *  *  *  * | 0 1 1  0  0  1  0 0 0 0 | 1 0 1 1 0
.. .. x.    x.    |  4  0 |  2  2  0  0  0  0 |  *  * 24  *  *  *  *  *  *  * | 0 0 2  0  0  0  1 0 0 0 | 1 0 0 2 0
.. ox ..    ..&#x |  1  2 |  0  0  2  1  0  0 |  *  *  * 96  *  *  *  *  *  * | 0 0 0  1  1  1  0 0 0 0 | 0 1 1 1 0
.. .. xx    ..&#x |  2  2 |  1  0  2  0  1  0 |  *  *  *  * 48  *  *  *  *  * | 0 0 0  0  2  0  1 0 0 0 | 0 1 0 2 0
.. .. ..    xx&#x |  2  2 |  0  1  2  0  0  1 |  *  *  *  *  * 48  *  *  *  * | 0 0 0  0  0  2  1 0 0 0 | 0 0 1 2 0
.o3.x ..    ..    |  0  3 |  0  0  0  3  0  0 |  *  *  *  *  *  * 32  *  *  * | 0 0 0  1  0  0  0 1 1 0 | 0 1 1 0 1
.. .x3.x    ..    |  0  6 |  0  0  0  3  3  0 |  *  *  *  *  *  *  * 32  *  * | 0 0 0  0  1  0  0 1 0 1 | 0 1 0 1 1
.. .x .. *b3.x    |  0  6 |  0  0  0  3  0  3 |  *  *  *  *  *  *  *  * 32  * | 0 0 0  0  0  1  0 0 1 1 | 0 0 1 1 1
.. .. .x    .x    |  0  4 |  0  0  0  0  2  2 |  *  *  *  *  *  *  *  *  * 24 | 0 0 0  0  0  0  1 0 0 2 | 0 0 0 2 1
------------------+-------+-------------------+-------------------------------+-------------------------+----------
o.3o.3x.    ..    ♦  4  0 |  6  0  0  0  0  0 |  4  0  0  0  0  0  0  0  0  0 | 8 * *  *  *  *  * * * * | 1 1 0 0 0
o.3o. .. *b3x.    ♦  4  0 |  6  0  0  0  0  0 |  0  4  0  0  0  0  0  0  0  0 | * 8 *  *  *  *  * * * * | 1 0 1 0 0
.. o.3x. *b3x.    ♦ 12  0 | 12 12  0  0  0  0 |  4  4  6  0  0  0  0  0  0  0 | * * 8  *  *  *  * * * * | 1 0 0 1 0
oo3ox ..    ..&#x ♦  1  3 |  0  0  3  3  0  0 |  0  0  0  3  0  0  1  0  0  0 | * * * 32  *  *  * * * * | 0 1 1 0 0
.. ox3xx    ..&#x ♦  3  6 |  3  0  6  3  3  0 |  1  0  0  3  3  0  0  1  0  0 | * * *  * 32  *  * * * * | 0 1 0 1 0
.. ox .. *b3xx&#x ♦  3  6 |  0  3  6  3  0  3 |  0  1  0  3  0  3  0  0  1  0 | * * *  *  * 32  * * * * | 0 0 1 1 0
.. .. xx    xx&#x ♦  4  4 |  2  2  4  0  2  2 |  0  0  1  0  2  2  0  0  0  1 | * * *  *  *  * 24 * * * | 0 0 0 2 0
.o3.x3.x    ..    ♦  0 12 |  0  0  0 12  6  0 |  0  0  0  0  0  0  4  4  0  0 | * * *  *  *  *  * 8 * * | 0 1 0 0 1
.o3.x .. *b3.x    ♦  0 12 |  0  0  0 12  0  6 |  0  0  0  0  0  0  4  0  4  0 | * * *  *  *  *  * * 8 * | 0 0 1 0 1
.. .x3.x *b3.x    ♦  0 24 |  0  0  0 12 12 12 |  0  0  0  0  0  0  0  4  4  6 | * * *  *  *  *  * * * 8 | 0 0 0 1 1
------------------+-------+-------------------+-------------------------------+-------------------------+----------
o.3o.3x. *b3x.    ♦ 32  0 | 48 48  0  0  0  0 | 32 32 24  0  0  0  0  0  0  0 | 8 8 8  0  0  0  0 0 0 0 | 1 * * * *
oo3ox3xx    ..&#x ♦  4 12 |  6  0 12 12  6  0 |  4  0  0 12  6  0  4  4  0  0 | 1 0 0  4  4  0  0 1 0 0 | * 8 * * *
oo3ox .. *b3xx&#x ♦  4 12 |  0  6 12 12  0  6 |  0  4  0 12  0  6  4  0  4  0 | 0 1 0  4  0  4  0 0 1 0 | * * 8 * *
.. ox3xx *b3xx&#x ♦ 12 24 | 12 12 24 12 12 12 |  4  4  6 12 12 12  0  4  4  6 | 0 0 1  0  4  4  6 0 0 1 | * * * 8 *
.o3.x3.x *b3.x    ♦  0 96 |  0  0  0 96 48 48 |  0  0  0  0  0  0 32 32 32 24 | 0 0 0  0  0  0  0 8 8 8 | * * * * 1