Acronym ...
Name oxqwQ wxwxx3ooxxx4qwoxo&#zx
Confer
uniform relative:
spic  
related CRFs:
oxqw. wxwx.3ooxx.4qwox.&#zx  
general polytopal classes:
expanded kaleido-facetings  

The relation to spic runs as follows: spic in demitessic subsymmetry can be given as oxqwQ 2 qowxx 3 xxooo 4 oxoxo &#zx. That will be transformed into oxqwQ 2 wowxx 3 (-x)xooo 4 qxoxo &#zx (faceting, same vertex set). This in turn will be transformed into oxqwQ 2 wxwxx 3 (-x)(-x)ooo 4 qwoxo &#zx (other faceting, still same vertex set). Then a Stott expansion wrt. the third node produces this polychoron.

Here: Q=w+x=q+u.


Incidence matrix according to Dynkin symbol

oxqwQ wxwxx3ooxxx4qwoxo&#zx   → all heights = 0 – except those of the not existing lacings

o.... o....3o....4o....     | 24  *  *  *  * |  2  4  0  0  0  0  0  0  0  0  0  0  0 |  1  2  2  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0 |  2 1  2 0  0  0  0  0 0
.o... .o...3.o...4.o...     |  * 48  *  *  * |  1  0  1  2  2  0  0  0  0  0  0  0  0 |  1  0  0  2  2  1  2  1  0  0  0  0  0  0  0  0  0  0 |  2 0  1 1  1  0  0  0 0
..o.. ..o..3..o..4..o..     |  *  * 48  *  * |  0  2  0  0  0  2  2  0  0  0  0  0  0 |  0  2  1  2  0  0  0  0  1  2  1  0  0  0  0  0  0  0 |  1 1  2 0  0  1  0  0 0
...o. ...o.3...o.4...o.     |  *  *  * 96  * |  0  0  0  0  1  0  1  1  1  1  1  0  0 |  0  0  0  1  0  0  1  1  0  1  1  1  1  1  1  1  0  0 |  1 0  1 0  1  1  1  1 0
....o ....o3....o4....o     |  *  *  *  * 48 |  0  0  0  0  0  0  0  0  0  0  2  1  2 |  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  1  2  1 |  0 0  0 0  0  1  2  1 1
----------------------------+----------------+----------------------------------------+-------------------------------------------------------+------------------------
oo... oo...3oo...4oo...&#x  |  1  1  0  0  0 | 48  *  *  *  *  *  *  *  *  *  *  *  * |  1  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0 |  2 0  1 0  0  0  0  0 0
o.o.. o.o..3o.o..4o.o..&#x  |  1  0  1  0  0 |  * 96  *  *  *  *  *  *  *  *  *  *  * |  0  1  1  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0 |  1 1  1 0  0  0  0  0 0
.x... ..... ..... .....     |  0  2  0  0  0 |  *  * 24  *  *  *  *  *  *  *  *  *  * |  1  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0 |  2 0  0 1  0  0  0  0 0
..... .x... ..... .....     |  0  2  0  0  0 |  *  *  * 48  *  *  *  *  *  *  *  *  * |  0  0  0  0  1  1  1  0  0  0  0  0  0  0  0  0  0  0 |  1 0  0 1  1  0  0  0 0
.o.o. .o.o.3.o.o.4.o.o.&#x  |  0  1  0  1  0 |  *  *  *  * 96  *  *  *  *  *  *  *  * |  0  0  0  1  0  0  1  1  0  0  0  0  0  0  0  0  0  0 |  1 0  1 0  1  0  0  0 0
..... ..... ..x.. .....     |  0  0  2  0  0 |  *  *  *  *  * 48  *  *  *  *  *  *  * |  0  1  0  0  0  0  0  0  1  1  0  0  0  0  0  0  0  0 |  0 1  1 0  0  1  0  0 0
..oo. ..oo.3..oo.4..oo.&#x  |  0  0  1  1  0 |  *  *  *  *  *  * 96  *  *  *  *  *  * |  0  0  0  1  0  0  0  0  0  1  1  0  0  0  0  0  0  0 |  1 0  1 0  0  1  0  0 0
..... ...x. ..... .....     |  0  0  0  2  0 |  *  *  *  *  *  *  * 48  *  *  *  *  * |  0  0  0  0  0  0  1  0  0  0  0  1  1  1  0  0  0  0 |  1 0  0 0  1  0  1  1 0
..... ..... ...x. .....     |  0  0  0  2  0 |  *  *  *  *  *  *  *  * 48  *  *  *  * |  0  0  0  0  0  0  0  1  0  1  0  1  0  0  1  0  0  0 |  0 0  1 0  1  1  1  0 0
..... ..... ..... ...x.     |  0  0  0  2  0 |  *  *  *  *  *  *  *  *  * 48  *  *  * |  0  0  0  0  0  0  0  0  0  0  1  0  1  0  0  1  0  0 |  1 0  0 0  0  1  0  1 0
...oo ...oo3...oo4...oo&#x  |  0  0  0  1  1 |  *  *  *  *  *  *  *  *  *  * 96  *  * |  0  0  0  0  0  0  0  0  0  0  0  0  0  1  1  1  0  0 |  0 0  0 0  0  1  1  1 0
..... ....x ..... .....     |  0  0  0  0  2 |  *  *  *  *  *  *  *  *  *  *  * 24  * |  0  0  0  0  0  0  0  0  0  0  0  0  0  2  0  0  2  0 |  0 0  0 0  0  0  2  1 1
..... ..... ....x .....     |  0  0  0  0  2 |  *  *  *  *  *  *  *  *  *  *  *  * 48 |  0  0  0  0  0  0  0  0  0  0  0  0  0  0  1  0  1  1 |  0 0  0 0  0  1  1  0 1
----------------------------+----------------+----------------------------------------+-------------------------------------------------------+------------------------
ox... ..... ..... .....&#x  |  1  2  0  0  0 |  2  0  1  0  0  0  0  0  0  0  0  0  0 | 24  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * |  2 0  0 0  0  0  0  0 0
..... ..... o.x.. .....&#x  |  1  0  2  0  0 |  0  2  0  0  0  1  0  0  0  0  0  0  0 |  * 48  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * |  0 1  1 0  0  0  0  0 0
o.q.. ..... ..... q.o..&#zx |  2  0  2  0  0 |  0  4  0  0  0  0  0  0  0  0  0  0  0 |  *  * 24  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * |  1 1  0 0  0  0  0  0 0
oooo. oooo.3oooo.4oooo.&#xr |  1  1  1  1  0 |  1  1  0  0  1  0  1  0  0  0  0  0  0 |  *  *  * 96  *  *  *  *  *  *  *  *  *  *  *  *  *  * |  1 0  1 0  0  0  0  0 0  cycle: (ABDC)
.x... .x... ..... .....     |  0  4  0  0  0 |  0  0  2  2  0  0  0  0  0  0  0  0  0 |  *  *  *  * 24  *  *  *  *  *  *  *  *  *  *  *  *  * |  1 0  0 1  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 |  *  *  *  *  * 16  *  *  *  *  *  *  *  *  *  *  *  * |  0 0  0 1  1  0  0  0 0
..... .x.x. ..... .....&#x  |  0  2  0  2  0 |  0  0  0  1  2  0  0  1  0  0  0  0  0 |  *  *  *  *  *  * 48  *  *  *  *  *  *  *  *  *  *  * |  1 0  0 0  1  0  0  0 0
..... ..... .o.x. .....&#x  |  0  1  0  2  0 |  0  0  0  0  2  0  0  0  1  0  0  0  0 |  *  *  *  *  *  *  * 48  *  *  *  *  *  *  *  *  *  * |  0 0  1 0  1  0  0  0 0
..... ..... ..x..4..o..     |  0  0  4  0  0 |  0  0  0  0  0  4  0  0  0  0  0  0  0 |  *  *  *  *  *  *  *  * 12  *  *  *  *  *  *  *  *  * |  0 1  0 0  0  1  0  0 0
..... ..... ..xx. .....&#x  |  0  0  2  2  0 |  0  0  0  0  0  1  2  0  1  0  0  0  0 |  *  *  *  *  *  *  *  *  * 48  *  *  *  *  *  *  *  * |  0 0  1 0  0  1  0  0 0
..... ..... ..... ..ox.&#x  |  0  0  1  2  0 |  0  0  0  0  0  0  2  0  0  1  0  0  0 |  *  *  *  *  *  *  *  *  *  * 48  *  *  *  *  *  *  * |  1 0  0 0  0  1  0  0 0
..... ...x.3...x. .....     |  0  0  0  6  0 |  0  0  0  0  0  0  0  3  3  0  0  0  0 |  *  *  *  *  *  *  *  *  *  *  * 16  *  *  *  *  *  * |  0 0  0 0  1  0  1  0 0
..... ...x. ..... ...x.     |  0  0  0  4  0 |  0  0  0  0  0  0  0  2  0  2  0  0  0 |  *  *  *  *  *  *  *  *  *  *  *  * 24  *  *  *  *  * |  1 0  0 0  0  0  0  1 0
..... ...xx ..... .....&#x  |  0  0  0  2  2 |  0  0  0  0  0  0  0  1  0  0  2  1  0 |  *  *  *  *  *  *  *  *  *  *  *  *  * 48  *  *  *  * |  0 0  0 0  0  0  1  1 0
..... ..... ...xx .....&#x  |  0  0  0  2  2 |  0  0  0  0  0  0  0  0  1  0  2  0  1 |  *  *  *  *  *  *  *  *  *  *  *  *  *  * 48  *  *  * |  0 0  0 0  0  1  1  0 0
..... ..... ..... ...xo&#x  |  0  0  0  2  1 |  0  0  0  0  0  0  0  0  0  1  2  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 48  *  * |  0 0  0 0  0  1  0  1 0
..... ....x3....x .....     |  0  0  0  0  6 |  0  0  0  0  0  0  0  0  0  0  0  3  3 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 16  * |  0 0  0 0  0  0  1  0 1
..... ..... ....x4....o     |  0  0  0  0  4 |  0  0  0  0  0  0  0  0  0  0  0  0  4 |  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 12 |  0 0  0 0  0  1  0  0 1
----------------------------+----------------+----------------------------------------+-------------------------------------------------------+------------------------
oxqw. wxwx. ..... qwox.&#zx   4  8  4  8  0 |  8  8  4  4  8  0  8  4  0  4  0  0  0 |  4  0  2  8  2  0  4  0  0  0  4  0  2  0  0  0  0  0 | 12 *  * *  *  *  *  * *
o.q.. ..... o.x..4q.o..&#zx   4  0  8  0  0 |  0 16  0  0  0  8  0  0  0  0  0  0  0 |  0  8  4  0  0  0  0  0  2  0  0  0  0  0  0  0  0  0 |  * 6  * *  *  *  *  * *
..... ..... ooxx. .....&#xr   1  1  2  2  0 |  1  2  0  0  2  1  2  0  1  0  0  0  0 |  0  1  0  2  0  0  0  1  0  1  0  0  0  0  0  0  0  0 |  * * 48 *  *  *  *  * *  cycle: (ABDC)
.x... .x...3.o... .....       0  6  0  0  0 |  0  0  3  6  0  0  0  0  0  0  0  0  0 |  0  0  0  0  3  2  0  0  0  0  0  0  0  0  0  0  0  0 |  * *  * 8  *  *  *  * *
..... .x.x.3.o.x. .....&#x    0  3  0  6  0 |  0  0  0  3  6  0  0  3  3  0  0  0  0 |  0  0  0  0  0  1  3  3  0  0  0  1  0  0  0  0  0  0 |  * *  * * 16  *  *  * *
..... ..... ..xxx4..oxo&#xt   0  0  4  8  4 |  0  0  0  0  0  4  8  0  4  4  8  0  4 |  0  0  0  0  0  0  0  0  1  4  4  0  0  0  4  4  0  1 |  * *  * *  * 12  *  * *
..... ...xx3...xx .....&#x    0  0  0  6  6 |  0  0  0  0  0  0  0  3  3  0  6  3  3 |  0  0  0  0  0  0  0  0  0  0  0  1  0  3  3  0  1  0 |  * *  * *  *  * 16  * *
..... ...xx ..... ...xo&#x    0  0  0  4  2 |  0  0  0  0  0  0  0  2  0  2  4  1  0 |  0  0  0  0  0  0  0  0  0  0  0  0  1  2  0  2  0  0 |  * *  * *  *  *  * 24 *
..... ....x3....x4....o       0  0  0  0 24 |  0  0  0  0  0  0  0  0  0  0  0 12 24 |  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8  6 |  * *  * *  *  *  *  * 2

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