This CRF polychoron happens to be a dodeca-diminished version of a tetrastratic deep subsegment of rox, featuring 4 vertex layers thereof only, i.e. ..x.ofo.(..)........3..o.fox.(..)........5..x.oxx.(..)........&#xt. In fact, it chops off 12 pippies from that tetrastratic segment.

Incidence matrix according to Dynkin symbol

xofo3ofox5xoxx&#xt   → height(1,2) = height(3,4) = 1/2
                       height(2,3) = (sqrt(5)-1)/4 = 0.309017
(srid || pseudo f-id || pseudo (f,x)-srid || tid)

o...3o...5o...     | 60  *  *  * |  2  2   2  1   0  0  0   0  0  0 |  1  2  1  2  2  2   2  0  0   0  0  0  0  0  0 | 1  1  2  1  2  0  0 0
.o..3.o..5.o..     |  * 30  *  * |  0  0   4  0   4  2  0   0  0  0 |  0  0  0  2  2  0   4  2  1   4  0  0  0  0  0 | 0  2  1  0  2  2  0 0
..o.3..o.5..o.     |  *  * 60  * |  0  0   0  1   2  0  2   2  0  0 |  0  0  0  0  0  2   2  2  0   2  1  1  2  0  0 | 0  1  0  1  2  2  1 0
...o3...o5...o     |  *  *  * 60 |  0  0   0  0   0  1  0   2  2  1 |  0  0  0  0  0  0   0  0  1   1  0  2  2  1  2 | 0  1  0  0  0  2  1 1
-------------------+-------------+----------------------------------+------------------------------------------------+----------------------
x... .... ....     |  2  0  0  0 | 60  *   *  *   *  *  *   *  *  * |  1  1  0  1  0  0   0  0  0   0  0  0  0  0  0 | 1  1  1  0  0  0  0 0
.... .... x...     |  2  0  0  0 |  * 60   *  *   *  *  *   *  *  * |  0  1  1  0  1  1   0  0  0   0  0  0  0  0  0 | 1  0  1  1  1  0  0 0
oo..3oo..5oo..&#x  |  1  1  0  0 |  *  * 120  *   *  *  *   *  *  * |  0  0  0  1  1  0   1  0  0   0  0  0  0  0  0 | 0  1  1  0  1  0  0 0
o.o.3o.o.5o.o.&#x  |  1  0  1  0 |  *  *   * 60   *  *  *   *  *  * |  0  0  0  0  0  2   2  0  0   0  0  0  0  0  0 | 0  1  0  1  2  0  0 0
.oo.3.oo.5.oo.&#x  |  0  1  1  0 |  *  *   *  * 120  *  *   *  *  * |  0  0  0  0  0  0   1  1  0   1  0  0  0  0  0 | 0  1  0  0  1  1  0 0
.o.o3.o.o5.o.o&#x  |  0  1  0  1 |  *  *   *  *   * 60  *   *  *  * |  0  0  0  0  0  0   0  0  1   2  0  0  0  0  0 | 0  1  0  0  0  2  0 0
.... .... ..x.     |  0  0  2  0 |  *  *   *  *   *  * 60   *  *  * |  0  0  0  0  0  1   0  1  0   0  1  0  1  0  0 | 0  0  0  1  1  1  1 0
..oo3..oo5..oo&#x  |  0  0  1  1 |  *  *   *  *   *  *  * 120  *  * |  0  0  0  0  0  0   0  0  0   1  0  1  1  0  0 | 0  1  0  0  0  1  1 0
.... ...x ....     |  0  0  0  2 |  *  *   *  *   *  *  *   * 60  * |  0  0  0  0  0  0   0  0  0   0  0  1  0  1  1 | 0  1  0  0  0  0  1 1
.... .... ...x     |  0  0  0  2 |  *  *   *  *   *  *  *   *  * 30 |  0  0  0  0  0  0   0  0  1   0  0  0  2  0  2 | 0  0  0  0  0  2  2 1
-------------------+-------------+----------------------------------+------------------------------------------------+----------------------
x...3o... ....     |  3  0  0  0 |  3  0   0  0   0  0  0   0  0  0 | 20  *  *  *  *  *   *  *  *   *  *  *  *  *  * | 1  1  0  0  0  0  0 0
x... .... x...     |  4  0  0  0 |  2  2   0  0   0  0  0   0  0  0 |  * 30  *  *  *  *   *  *  *   *  *  *  *  *  * | 1  0  1  0  0  0  0 0
.... o...5x...     |  5  0  0  0 |  0  5   0  0   0  0  0   0  0  0 |  *  * 12  *  *  *   *  *  *   *  *  *  *  *  * | 1  0  0  1  0  0  0 0
xo.. .... ....&#x  |  2  1  0  0 |  1  0   2  0   0  0  0   0  0  0 |  *  *  * 60  *  *   *  *  *   *  *  *  *  *  * | 0  1  1  0  0  0  0 0
.... .... xo..&#x  |  2  1  0  0 |  0  1   2  0   0  0  0   0  0  0 |  *  *  *  * 60  *   *  *  *   *  *  *  *  *  * | 0  0  1  0  1  0  0 0
.... .... x.x.&#x  |  2  0  2  0 |  0  1   0  2   0  0  1   0  0  0 |  *  *  *  *  * 60   *  *  *   *  *  *  *  *  * | 0  0  0  1  1  0  0 0
ooo.3ooo.5ooo.&#x  |  1  1  1  0 |  0  0   1  1   1  0  0   0  0  0 |  *  *  *  *  *  * 120  *  *   *  *  *  *  *  * | 0  1  0  0  1  0  0 0
.... .... .ox.&#x  |  0  1  2  0 |  0  0   0  0   2  0  1   0  0  0 |  *  *  *  *  *  *   * 60  *   *  *  *  *  *  * | 0  0  0  0  1  1  0 0
.... .... .o.x&#x  |  0  1  0  2 |  0  0   0  0   0  2  0   0  0  1 |  *  *  *  *  *  *   *  * 30   *  *  *  *  *  * | 0  0  0  0  0  2  0 0
.ooo3.ooo5.ooo&#x  |  0  1  1  1 |  0  0   0  0   1  1  0   1  0  0 |  *  *  *  *  *  *   *  *  * 120  *  *  *  *  * | 0  1  0  0  0  1  0 0
.... ..o.5..x.     |  0  0  5  0 |  0  0   0  0   0  0  5   0  0  0 |  *  *  *  *  *  *   *  *  *   * 12  *  *  *  * | 0  0  0  1  0  0  1 0
.... ..ox ....&#x  |  0  0  1  2 |  0  0   0  0   0  0  0   2  1  0 |  *  *  *  *  *  *   *  *  *   *  * 60  *  *  * | 0  1  0  0  0  0  1 0
.... .... ..xx&#x  |  0  0  2  2 |  0  0   0  0   0  0  1   2  0  1 |  *  *  *  *  *  *   *  *  *   *  *  * 60  *  * | 0  0  0  0  0  1  1 0
...o3...x ....     |  0  0  0  3 |  0  0   0  0   0  0  0   0  3  0 |  *  *  *  *  *  *   *  *  *   *  *  *  * 20  * | 0  1  0  0  0  0  0 1
.... ...x5...x     |  0  0  0 10 |  0  0   0  0   0  0  0   0  5  5 |  *  *  *  *  *  *   *  *  *   *  *  *  *  * 12 | 0  0  0  0  0  0  1 1
-------------------+-------------+----------------------------------+------------------------------------------------+----------------------
x...3o...5x...     ♦ 60  0  0  0 | 60 60   0  0   0  0  0   0  0  0 | 20 30 12  0  0  0   0  0  0   0  0  0  0  0  0 | 1  *  *  *  *  *  * *
xofo3ofox ....&#xt ♦  3  3  3  3 |  3  0   6  3   6  3  0   6  3  0 |  1  0  0  3  0  0   6  0  0   6  0  3  0  1  0 | * 20  *  *  *  *  * *
xo.. .... xo..&#x  ♦  4  1  0  0 |  2  2   4  0   0  0  0   0  0  0 |  0  1  0  2  2  0   0  0  0   0  0  0  0  0  0 | *  * 30  *  *  *  * *
.... o.o.5x.x.&#x  ♦  5  0  5  0 |  0  5   0  5   0  0  5   0  0  0 |  0  0  1  0  0  5   0  0  0   0  1  0  0  0  0 | *  *  * 12  *  *  * *
.... .... xox.&#x  ♦  2  1  2  0 |  0  1   2  2   2  0  1   0  0  0 |  0  0  0  0  1  1   2  1  0   0  0  0  0  0  0 | *  *  *  * 60  *  * *
.... .... .oxx&#x  ♦  0  1  2  2 |  0  0   0  0   2  2  1   2  0  1 |  0  0  0  0  0  0   0  1  1   2  0  0  1  0  0 | *  *  *  *  * 60  * *
.... ..ox5..xx&#x  ♦  0  0  5 10 |  0  0   0  0   0  0  5  10  5  5 |  0  0  0  0  0  0   0  0  0   0  1  5  5  0  1 | *  *  *  *  *  * 12 *
...o3...x5...x     ♦  0  0  0 60 |  0  0   0  0   0  0  0   0 60 30 |  0  0  0  0  0  0   0  0  0   0  0  0  0 20 12 | *  *  *  *  *  *  * 1