Acronym ...
Name ((oxqwQ wxwxx3ooxxx4qwoxo))&#zx
Face vector 264, 768, 648, 144
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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