It either can be thought of as a degenerate 4D segmentotope with zero height, or as a 3D euclidean decomposition of the larger base into smaller bits.

Incidence matrix according to Dynkin symbol

xx5/2ox5oo&#x   → height = 0
(sissid || 3doe)

o.5/2o.5o.    | 12  * |  5  5  0  0 |  5  5  5  0  0 | 1  5  1 0
.o5/2.o5.o    |  * 60 |  0  1  1  2 |  0  1  2  2  1 | 0  2  1 1
--------------+-------+-------------+----------------+----------
x.   .. ..    |  2  0 | 30  *  *  * |  2  1  0  0  0 | 1  2  0 0
oo5/2oo5oo&#x |  1  1 |  * 60  *  * |  0  1  2  0  0 | 0  2  1 0
.x   .. ..    |  0  2 |  *  * 30  * |  0  1  0  2  0 | 0  2  0 1
..   .x ..    |  0  2 |  *  *  * 60 |  0  0  1  1  1 | 0  1  1 1
--------------+-------+-------------+----------------+----------
x.5/2o. ..    |  5  0 |  5  0  0  0 | 12  *  *  *  * | 1  1  0 0
xx   .. ..&#x |  2  2 |  1  2  1  0 |  * 30  *  *  * | 0  2  0 0
..   ox ..&#x |  1  2 |  0  2  0  1 |  *  * 60  *  * | 0  1  1 0
.x5/2.x ..    |  0 10 |  0  0  5  5 |  *  *  * 12  * | 0  1  0 1
..   .x5.o    |  0  5 |  0  0  0  5 |  *  *  *  * 12 | 0  0  1 1
--------------+-------+-------------+----------------+----------
x.5/2o.5o.    ♦ 12  0 | 30  0  0  0 | 12  0  0  0  0 | 1  *  * *
xx5/2ox ..&#x ♦  5 10 |  5 10  5  5 |  1  5  5  1  0 | * 12  * *
..   ox5oo&#x ♦  1  5 |  0  5  0  5 |  0  0  5  0  1 | *  * 12 *
.x5/2.x5.o    ♦  0 60 |  0  0 30 60 |  0  0  0 12 12 | *  *  * 1