The relation to ex runs as follows: ex in pentic subsymmetry can be given as xffoo3oxoof3fooxo3ooffx&#zx. That will be transformed into (-x)ffoo3xxoof3fooxo3ooffx&#zx. Then a Stott expansion wrt. the first node produces this polychoron.

The non-existing lacings calculate to vertex distances according to f=(1+sqrt(5))/2.

Note that the vertices of type B and of type C both have teddies for vertex figures. But those vertices of type B have just pairwise distance x, while those of type C have pairwise distance f. Accordingly only the latter ones could be diminished without self-intersection, then providing oF.xx3xx.of3fo.xo3oo.fx&#zx.

Incidence matrix according to Dynkin symbol

oFFxx3xxoof3fooxo3ooffx&#zx   → all heights = 0 – except those of the not existing lacing(1,2), lacing(1,3), resp. lacing(2,4).

o....3o....3o....3o....     | 30  *  *  *  * |  2   4   4  0  0  0  0  0  0  0   0  0  0 |  1  2  4  2  2   4  0  0  0  0  0   0  0  0  0  0  0  0  0 |  2  2  2  1 0  0  0  0  0 0  0  0
.o...3.o...3.o...3.o...     |  * 20  *  *  * ♦  0   0   0  3  3  3  0  0  0  0   0  0  0 |  0  0  0  0  0   0  3  6  3  3  0   0  0  0  0  0  0  0  0 |  3  0  0  0 1  3  1  0  0 0  0  0
..o..3..o..3..o..3..o..     |  *  * 20  *  * ♦  0   0   0  0  3  0  3  3  0  0   0  0  0 |  0  0  0  0  0   0  0  3  0  3  3   6  0  0  0  0  0  0  0 |  3  0  0  0 0  1  0  1  3 0  0  0
...o.3...o.3...o.3...o.     |  *  *  * 60  * |  0   2   0  0  0  0  1  0  2  2   2  0  0 |  0  2  1  0  0   2  0  0  0  0  2   2  1  2  1  2  2  0  0 |  1  1  2  0 0  0  0  1  2 1  2  0
....o3....o3....o3....o     |  *  *  *  * 60 |  0   0   2  0  0  1  0  1  0  0   2  1  2 |  0  0  0  2  2   2  0  0  2  1  0   2  0  0  0  2  1  2  1 |  2  0  2  2 0  0  1  0  1 0  1  1
----------------------------+----------------+-------------------------------------------+------------------------------------------------------------+----------------------------------
..... x.... ..... .....     |  2  0  0  0  0 | 30   *   *  *  *  *  *  *  *  *   *  *  * |  1  0  2  0  0   0  0  0  0  0  0   0  0  0  0  0  0  0  0 |  1  2  0  0 0  0  0  0  0 0  0  0
o..o.3o..o.3o..o.3o..o.&#x  |  1  0  0  1  0 |  * 120   *  *  *  *  *  *  *  *   *  *  * |  0  1  1  0  0   1  0  0  0  0  0   0  0  0  0  0  0  0  0 |  1  1  1  0 0  0  0  0  0 0  0  0
o...o3o...o3o...o3o...o&#x  |  1  0  0  0  1 |  *   * 120  *  *  *  *  *  *  *   *  *  * |  0  0  0  1  1   1  0  0  0  0  0   0  0  0  0  0  0  0  0 |  1  0  1  1 0  0  0  0  0 0  0  0
..... .x... ..... .....     |  0  2  0  0  0 |  *   *   * 30  *  *  *  *  *  *   *  *  * |  0  0  0  0  0   0  2  2  0  0  0   0  0  0  0  0  0  0  0 |  1  0  0  0 1  2  0  0  0 0  0  0
.oo..3.oo..3.oo..3.oo..&#x  |  0  1  1  0  0 |  *   *   *  * 60  *  *  *  *  *   *  *  * |  0  0  0  0  0   0  0  2  0  1  0   0  0  0  0  0  0  0  0 |  2  0  0  0 0  1  0  0  0 0  0  0
.o..o3.o..o3.o..o3.o..o&#x  |  0  1  0  0  1 |  *   *   *  *  * 60  *  *  *  *   *  *  * |  0  0  0  0  0   0  0  0  2  1  0   0  0  0  0  0  0  0  0 |  2  0  0  0 0  0  1  0  0 0  0  0
..oo.3..oo.3..oo.3..oo.&#x  |  0  0  1  1  0 |  *   *   *  *  *  * 60  *  *  *   *  *  * |  0  0  0  0  0   0  0  0  0  0  2   2  0  0  0  0  0  0  0 |  2  0  0  0 0  0  0  1  1 0  0  0
..o.o3..o.o3..o.o3..o.o&#x  |  0  0  1  0  1 |  *   *   *  *  *  *  * 60  *  *   *  *  * |  0  0  0  0  0   0  0  0  0  1  0   2  0  0  0  0  0  0  0 |  2  0  0  0 0  0  0  0  1 0  0  0
...x. ..... ..... .....     |  0  0  0  2  0 |  *   *   *  *  *  *  *  * 60  *   *  *  * |  0  1  0  0  0   0  0  0  0  0  0   0  1  1  0  1  0  0  0 |  0  1  1  0 0  0  0  0  0 1  1  0
..... ..... ...x. .....     |  0  0  0  2  0 |  *   *   *  *  *  *  *  *  * 60   *  *  * |  0  0  0  0  0   0  0  0  0  0  1   0  0  1  1  0  1  0  0 |  0  0  0  0 0  0  0  1  1 1  1  0
...oo3...oo3...oo3...oo&#x  |  0  0  0  1  1 |  *   *   *  *  *  *  *  *  *  * 120  *  * |  0  0  0  0  0   1  0  0  0  0  0   1  0  0  0  1  1  0  0 |  1  0  1  0 0  0  0  0  1 0  1  0
....x ..... ..... .....     |  0  0  0  0  2 |  *   *   *  *  *  *  *  *  *  *   * 30  * |  0  0  0  2  0   0  0  0  0  0  0   0  0  0  0  2  0  2  0 |  0  0  2  2 0  0  0  0  0 0  1  1
..... ..... ..... ....x     |  0  0  0  0  2 |  *   *   *  *  *  *  *  *  *  *   *  * 60 |  0  0  0  0  1   0  0  0  1  0  0   0  0  0  0  0  0  1  1 |  1  0  0  1 0  0  1  0  0 0  0  1
----------------------------+----------------+-------------------------------------------+------------------------------------------------------------+----------------------------------
o....3x.... ..... .....     |  3  0  0  0  0 |  3   0   0  0  0  0  0  0  0  0   0  0  0 | 10  *  *  *  *   *  *  *  *  *  *   *  *  *  *  *  *  *  * |  0  2  0  0 0  0  0  0  0 0  0  0
o..x. ..... ..... .....     |  1  0  0  2  0 |  0   2   0  0  0  0  0  0  1  0   0  0  0 |  * 60  *  *  *   *  *  *  *  *  *   *  *  *  *  *  *  *  * |  0  1  1  0 0  0  0  0  0 0  0  0
..... x..o. ..... .....&#x  |  2  0  0  1  0 |  1   2   0  0  0  0  0  0  0  0   0  0  0 |  *  * 60  *  *   *  *  *  *  *  *   *  *  *  *  *  *  *  * |  1  1  0  0 0  0  0  0  0 0  0  0
o...x ..... ..... .....&#x  |  1  0  0  0  2 |  0   0   2  0  0  0  0  0  0  0   0  1  0 |  *  *  * 60  *   *  *  *  *  *  *   *  *  *  *  *  *  *  * |  0  0  1  1 0  0  0  0  0 0  0  0
..... ..... ..... o...x&#x  |  1  0  0  0  2 |  0   0   2  0  0  0  0  0  0  0   0  0  1 |  *  *  *  * 60   *  *  *  *  *  *   *  *  *  *  *  *  *  * |  1  0  0  1 0  0  0  0  0 0  0  0
o..oo3o..oo3o..oo3o..oo&#x  |  1  0  0  1  1 |  0   1   1  0  0  0  0  0  0  0   1  0  0 |  *  *  *  *  * 120  *  *  *  *  *   *  *  *  *  *  *  *  * |  1  0  1  0 0  0  0  0  0 0  0  0
..... .x...3.o... .....     |  0  3  0  0  0 |  0   0   0  3  0  0  0  0  0  0   0  0  0 |  *  *  *  *  *   * 20  *  *  *  *   *  *  *  *  *  *  *  * |  0  0  0  0 1  1  0  0  0 0  0  0
..... .xo.. ..... .....&#x  |  0  2  1  0  0 |  0   0   0  1  2  0  0  0  0  0   0  0  0 |  *  *  *  *  *   *  * 60  *  *  *   *  *  *  *  *  *  *  * |  1  0  0  0 0  1  0  0  0 0  0  0
..... ..... ..... .o..x&#x  |  0  1  0  0  2 |  0   0   0  0  0  2  0  0  0  0   0  0  1 |  *  *  *  *  *   *  *  * 60  *  *   *  *  *  *  *  *  *  * |  1  0  0  0 0  0  1  0  0 0  0  0
.oo.o3.oo.o3.oo.o3.oo.o&#x  |  0  1  1  0  1 |  0   0   0  0  1  1  0  1  0  0   0  0  0 |  *  *  *  *  *   *  *  *  * 60  *   *  *  *  *  *  *  *  * |  2  0  0  0 0  0  0  0  0 0  0  0
..... ..... ..ox. .....&#x  |  0  0  1  2  0 |  0   0   0  0  0  0  2  0  0  1   0  0  0 |  *  *  *  *  *   *  *  *  *  * 60   *  *  *  *  *  *  *  * |  0  0  0  0 0  0  0  1  1 0  0  0
..ooo3..ooo3..ooo3..ooo&#x  |  0  0  1  1  1 |  0   0   0  0  0  0  1  1  0  0   1  0  0 |  *  *  *  *  *   *  *  *  *  *  * 120  *  *  *  *  *  *  * |  1  0  0  0 0  0  0  0  1 0  0  0
...x.3...o. ..... .....     |  0  0  0  3  0 |  0   0   0  0  0  0  0  0  3  0   0  0  0 |  *  *  *  *  *   *  *  *  *  *  *   * 20  *  *  *  *  *  * |  0  1  0  0 0  0  0  0  0 1  0  0
...x. ..... ...x. .....     |  0  0  0  4  0 |  0   0   0  0  0  0  0  0  2  2   0  0  0 |  *  *  *  *  *   *  *  *  *  *  *   *  * 30  *  *  *  *  * |  0  0  0  0 0  0  0  0  0 1  1  0
..... ...o.3...x. .....     |  0  0  0  3  0 |  0   0   0  0  0  0  0  0  0  3   0  0  0 |  *  *  *  *  *   *  *  *  *  *  *   *  *  * 20  *  *  *  * |  0  0  0  0 0  0  0  1  0 1  0  0
...xx ..... ..... .....&#x  |  0  0  0  2  2 |  0   0   0  0  0  0  0  0  1  0   2  1  0 |  *  *  *  *  *   *  *  *  *  *  *   *  *  *  * 60  *  *  * |  0  0  1  0 0  0  0  0  0 0  1  0
..... ..... ...xo .....&#x  |  0  0  0  2  1 |  0   0   0  0  0  0  0  0  0  1   2  0  0 |  *  *  *  *  *   *  *  *  *  *  *   *  *  *  *  * 60  *  * |  0  0  0  0 0  0  0  0  1 0  1  0
....x ..... ..... ....x     |  0  0  0  0  4 |  0   0   0  0  0  0  0  0  0  0   0  2  2 |  *  *  *  *  *   *  *  *  *  *  *   *  *  *  *  *  * 30  * |  0  0  0  1 0  0  0  0  0 0  0  1
..... ..... ....o3....x     |  0  0  0  0  3 |  0   0   0  0  0  0  0  0  0  0   0  0  3 |  *  *  *  *  *   *  *  *  *  *  *   *  *  *  *  *  *  * 20 |  0  0  0  0 0  0  1  0  0 0  0  1
----------------------------+----------------+-------------------------------------------+------------------------------------------------------------+----------------------------------
..... xxoof ..... ooffx&#xt ♦  2  2  2  2  4 |  1   4   4  1  4  4  2  4  0  0   4  0  2 |  0  0  2  0  2   4  0  2  2  4  0   4  0  0  0  0  0  0  0 | 30  *  *  * *  *  *  *  * *  *  *  tower: A-D-E-C-B
o..x.3x..o. ..... .....&#x  ♦  3  0  0  3  0 |  3   6   0  0  0  0  0  0  3  0   0  0  0 |  1  3  3  0  0   0  0  0  0  0  0   0  1  0  0  0  0  0  0 |  * 20  *  * *  *  *  *  * *  *  *
o..xx ..... ..... .....&#x  ♦  1  0  0  2  2 |  0   2   2  0  0  0  0  0  1  0   2  1  0 |  0  1  0  1  0   2  0  0  0  0  0   0  0  0  0  1  0  0  0 |  *  * 60  * *  *  *  *  * *  *  *
o...x ..... ..... o...x&#x  ♦  1  0  0  0  4 |  0   0   4  0  0  0  0  0  0  0   0  2  2 |  0  0  0  2  2   0  0  0  0  0  0   0  0  0  0  0  0  1  0 |  *  *  * 30 *  *  *  *  * *  *  *
..... .x...3.o...3.o...     ♦  0  4  0  0  0 |  0   0   0  6  0  0  0  0  0  0   0  0  0 |  0  0  0  0  0   0  4  0  0  0  0   0  0  0  0  0  0  0  0 |  *  *  *  * 5  *  *  *  * *  *  *
..... .xo..3.oo.. .....&#x  ♦  0  3  1  0  0 |  0   0   0  3  3  0  0  0  0  0   0  0  0 |  0  0  0  0  0   0  1  3  0  0  0   0  0  0  0  0  0  0  0 |  *  *  *  * * 20  *  *  * *  *  *
..... ..... .o..o3.o..x&#x  ♦  0  1  0  0  3 |  0   0   0  0  0  3  0  0  0  0   0  0  3 |  0  0  0  0  0   0  0  0  3  0  0   0  0  0  0  0  0  0  1 |  *  *  *  * *  * 20  *  * *  *  *
..... ..oo.3..ox. .....&#x  ♦  0  0  1  3  0 |  0   0   0  0  0  0  3  0  0  3   0  0  0 |  0  0  0  0  0   0  0  0  0  0  3   0  0  0  1  0  0  0  0 |  *  *  *  * *  *  * 20  * *  *  *
..... ..... ..oxo .....&#x  ♦  0  0  1  2  1 |  0   0   0  0  0  0  2  1  0  1   2  0  0 |  0  0  0  0  0   0  0  0  0  0  1   2  0  0  0  0  1  0  0 |  *  *  *  * *  *  *  * 60 *  *  *
...x.3...o.3...x. .....     ♦  0  0  0 12  0 |  0   0   0  0  0  0  0  0 12 12   0  0  0 |  0  0  0  0  0   0  0  0  0  0  0   0  4  6  4  0  0  0  0 |  *  *  *  * *  *  *  *  * 5  *  *
...xx ..... ...xo .....&#x  ♦  0  0  0  4  2 |  0   0   0  0  0  0  0  0  2  2   4  1  0 |  0  0  0  0  0   0  0  0  0  0  0   0  0  1  0  2  2  0  0 |  *  *  *  * *  *  *  *  * * 30  *
....x ..... ....o3....x     ♦  0  0  0  0  6 |  0   0   0  0  0  0  0  0  0  0   0  3  6 |  0  0  0  0  0   0  0  0  0  0  0   0  0  0  0  0  0  3  2 |  *  *  *  * *  *  *  *  * *  * 10