It either can be thought of as a degenerate 5D ursatope with zero height, or as a 4D euclidean decomposition of the larger base into smaller bits.

Incidence matrix according to Dynkin symbol

ofx3xoo3ooo5ooo&#xt   → both heights = 0
(rox || f-ex || ex)

o..3o..3o..5o..     | 720   *   * |   10    2   0   0 |    5   10   1   10    0 |   5   2    5   10   0 | 1   5   2 0
.o.3.o.3.o.5.o.     |   * 120   * |    0   12   1   0 |    0    0  12   30    0 |   0   0   30   20   0 | 0  20   1 0
..o3..o3..o5..o     |   *   * 120 |    0    0   1  12 |    0    0  12    0   30 |   0   0   30    0  20 | 0  20   0 1
--------------------+-------------+-------------------+-------------------------+-----------------------+------------
... x.. ... ...     |   2   0   0 | 3600    *   *   * |    1    2   0    1    0 |   2   1    1    2   0 | 1   2   1 0
oo.3oo.3oo.5oo.&#x  |   1   1   0 |    * 1440   *   * |    0    0   1    5    0 |   0   0    5    5   0 | 0   5   1 0
.oo3.oo3.oo5.oo&#x  |   0   1   1 |    *    * 120   * ♦    0    0  12    0    0 |   0   0   30    0   0 | 0  20   0 0
..x ... ... ...     |   0   0   2 |    *    *   * 720 |    0    0   1    0    5 |   0   0    5    0   5 | 0   5   0 1
--------------------+-------------+-------------------+-------------------------+-----------------------+------------
o..3x.. ... ...     |   3   0   0 |    3    0   0   0 | 1200    *   *    *    * |   2   0    1    0   0 | 1   2   0 0
... x..3o.. ...     |   3   0   0 |    3    0   0   0 |    * 2400   *    *    * |   1   1    0    1   0 | 1   1   1 0
ofx ... ... ...&#xt |   1   2   2 |    0    2   2   1 |    *    * 720    *    * |   0   0    5    0   0 | 0   5   0 0
... xo. ... ...&#x  |   2   1   0 |    1    2   0   0 |    *    *   * 3600    * |   0   0    1    2   0 | 0   2   1 0
..x3..o ... ...     |   0   0   3 |    0    0   0   3 |    *    *   *    * 1200 |   0   0    1    0   2 | 0   2   0 1
--------------------+-------------+-------------------+-------------------------+-----------------------+------------
o..3x..3o.. ...     ♦   6   0   0 |   12    0   0   0 |    4    4   0    0    0 | 600   *    *    *   * | 1   1   0 0
... x..3o..5o..     ♦  12   0   0 |   30    0   0   0 |    0   20   0    0    0 |   * 120    *    *   * | 1   0   1 0
ofx3xoo ... ...&#xt ♦   3   3   3 |    3    6   3   3 |    1    0   3    3    1 |   *   * 1200    *   * | 0   2   0 0
... xo.3oo. ...&#x  ♦   3   1   0 |    3    3   0   0 |    0    1   0    3    0 |   *   *    * 2400   * | 0   1   1 0
..x3..o3..o ...     ♦   0   0   4 |    0    0   0   6 |    0    0   0    0    4 |   *   *    *    * 600 | 0   1   0 1
--------------------+-------------+-------------------+-------------------------+-----------------------+------------
o..3x..3o..5o..     ♦ 720   0   0 | 3600    0   0   0 | 1200 2400   0    0    0 | 600 120    0    0   0 | 1   *   * *
ofx3xoo3ooo ...&#xt ♦   6   4   4 |   12   12   4   6 |    4    4   6   12    4 |   1   0    4    4   1 | * 600   * *
... xo.3oo.5oo.&#x  ♦  12   1   0 |   30   12   0   0 |    0   20   0   30    0 |   0   1    0   20   0 | *   * 120 *
..x3..o3..o5..o     ♦   0   0 120 |    0    0   0 720 |    0    0   0    0 1200 |   0   0    0    0 600 | *   *   * 1