Acronym ... Name Fxox3xoxf3oFxx *b3oxfo&#zx Confer uniform relative: ex   related CRFs: icau pretasto   fooo3xxoF3xfxo *b3oxFo&#zx   general polytopal classes: expanded kaleido-facetings

The relation to ex runs as follows: ex in demitessic subsymmetry can be given as foxo3ooof3xfoo *b3oxfo&#zx. That will be transformed into fo(-x)o3ooxf3xfoo *b3oxfo&#zx (faceting, same vertex set). This in turn will be transformed into fo(-x)o3xoxf3(-x)foo *b3oxfo&#zx (other faceting, still same vertex set). Then a Stott expansion wrt. the first and third nodes produces this polychoron.

Both of the non-existing lacings calculate to vertex distances according to f=(1+sqrt(5))/2. Thus .... xo.f .... ....&#zx = ofx&#xt becomes a coplanar {5}. Further .... xoxf3oFxx ....&#zx = xfox3oxFx&#xt is thawro. And .... xo.f3.... *b3ox.o&#zx = xfo3oox&#xt is teddi.

Incidence matrix according to Dynkin symbol

```Fxox3xoxf3oFxx *b3oxfo&#zx   → all heights = 0 – except those of the not existing lacing(1,2) resp. lacing(1,3)

o...3o...3o... *b3o...     | 48  *  *  * |  4  2  0  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 | 1  2  2 0  0  0  0 0  0
.o..3.o..3.o.. *b3.o..     |  * 96  *  * |  0  0  2  2   2   2  0  0   0  0  0 |  0  0  1  0  1  2  1  2  1  2  2   2  0  0  0  0  0 | 0  1  1 1  1  2  2 0  0
..o.3..o.3..o. *b3..o.     |  *  * 96  * |  0  0  0  0   2   0  2  1   2  0  0 |  0  0  0  0  0  0  0  1  2  0  0   2  1  2  1  2  0 | 0  0  2 0  1  0  1 1  1
...o3...o3...o *b3...o     |  *  *  * 96 |  0  1  0  0   0   2  0  0   2  1  1 |  0  0  2  1  0  0  0  0  0  2  1   2  0  0  2  2  1 | 0  1  2 0  0  1  2 0  2
---------------------------+-------------+-------------------------------------+-----------------------------------------------------+------------------------
.... x... ....    ....     |  2  0  0  0 | 96  *  *  *   *   *  *  *   *  *  * |  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
o..o3o..o3o..o *b3o..o&#x  |  1  0  0  1 |  * 96  *  *   *   *  *  *   *  *  * |  0  0  2  1  0  0  0  0  0  0  0   0  0  0  0  0  0 | 0  1  2 0  0  0  0 0  0
.x.. .... ....    ....     |  0  2  0  0 |  *  * 96  *   *   *  *  *   *  *  * |  0  0  0  0  1  1  0  1  0  1  0   0  0  0  0  0  0 | 0  0  0 1  1  1  1 0  0
.... .... ....    .x..     |  0  2  0  0 |  *  *  * 96   *   *  *  *   *  *  * |  0  0  0  0  0  1  1  0  0  0  1   0  0  0  0  0  0 | 0  1  0 1  0  1  0 0  0
.oo.3.oo.3.oo. *b3.oo.&#x  |  0  1  1  0 |  *  *  *  * 192   *  *  *   *  *  * |  0  0  0  0  0  0  0  1  1  0  0   1  0  0  0  0  0 | 0  0  1 0  1  0  1 0  0
.o.o3.o.o3.o.o *b3.o.o&#x  |  0  1  0  1 |  *  *  *  *   * 192  *  *   *  *  * |  0  0  1  0  0  0  0  0  0  1  1   1  0  0  0  0  0 | 0  1  1 0  0  1  1 0  0
.... ..x. ....    ....     |  0  0  2  0 |  *  *  *  *   *   * 96  *   *  *  * |  0  0  0  0  0  0  0  0  1  0  0   0  1  1  0  0  0 | 0  0  1 0  1  0  0 1  0
.... .... ..x.    ....     |  0  0  2  0 |  *  *  *  *   *   *  * 48   *  *  * |  0  0  0  0  0  0  0  0  0  0  0   0  0  2  0  2  0 | 0  0  2 0  0  0  0 1  1
..oo3..oo3..oo *b3..oo&#x  |  0  0  1  1 |  *  *  *  *   *   *  *  * 192  *  * |  0  0  0  0  0  0  0  0  0  0  0   1  0  0  1  1  0 | 0  0  1 0  0  0  1 0  1
...x .... ....    ....     |  0  0  0  2 |  *  *  *  *   *   *  *  *   * 48  * |  0  0  0  0  0  0  0  0  0  2  0   0  0  0  2  0  1 | 0  0  0 0  0  1  2 0  2
.... .... ...x    ....     |  0  0  0  2 |  *  *  *  *   *   *  *  *   *  * 48 |  0  0  0  1  0  0  0  0  0  0  0   0  0  0  0  2  1 | 0  0  2 0  0  0  0 0  2
---------------------------+-------------+-------------------------------------+-----------------------------------------------------+------------------------
.... x...3o...    ....     |  3  0  0  0 |  3  0  0  0   0   0  0  0   0  0  0 | 32  *  *  *  *  *  *  *  *  *  *   *  *  *  *  *  * | 1  0  1 0  0  0  0 0  0
.... x... .... *b3o...     |  3  0  0  0 |  3  0  0  0   0   0  0  0   0  0  0 |  * 32  *  *  *  *  *  *  *  *  *   *  *  *  *  *  * | 1  1  0 0  0  0  0 0  0
.... xo.f ....    ....&#zx |  2  1  0  2 |  1  2  0  0   0   2  0  0   0  0  0 |  *  * 96  *  *  *  *  *  *  *  *   *  *  *  *  *  * | 0  1  1 0  0  0  0 0  0
.... .... o..x    ....&#x  |  1  0  0  2 |  0  2  0  0   0   0  0  0   0  0  1 |  *  *  * 48  *  *  *  *  *  *  *   *  *  *  *  *  * | 0  0  2 0  0  0  0 0  0
.x..3.o.. ....    ....     |  0  3  0  0 |  0  0  3  0   0   0  0  0   0  0  0 |  *  *  *  * 32  *  *  *  *  *  *   *  *  *  *  *  * | 0  0  0 1  1  0  0 0  0
.x.. .... ....    .x..     |  0  4  0  0 |  0  0  2  2   0   0  0  0   0  0  0 |  *  *  *  *  * 48  *  *  *  *  *   *  *  *  *  *  * | 0  0  0 1  0  1  0 0  0
.... .o.. .... *b3.x..     |  0  3  0  0 |  0  0  0  3   0   0  0  0   0  0  0 |  *  *  *  *  *  * 32  *  *  *  *   *  *  *  *  *  * | 0  1  0 1  0  0  0 0  0
.xo. .... ....    ....&#x  |  0  2  1  0 |  0  0  1  0   2   0  0  0   0  0  0 |  *  *  *  *  *  *  * 96  *  *  *   *  *  *  *  *  * | 0  0  0 0  1  0  1 0  0
.... .ox. ....    ....&#x  |  0  1  2  0 |  0  0  0  0   2   0  1  0   0  0  0 |  *  *  *  *  *  *  *  * 96  *  *   *  *  *  *  *  * | 0  0  1 0  1  0  0 0  0
.x.x .... ....    ....&#x  |  0  2  0  2 |  0  0  1  0   0   2  0  0   0  1  0 |  *  *  *  *  *  *  *  *  * 96  *   *  *  *  *  *  * | 0  0  0 0  0  1  1 0  0
.... .... ....    .x.o&#x  |  0  2  0  1 |  0  0  0  1   0   2  0  0   0  0  0 |  *  *  *  *  *  *  *  *  *  * 96   *  *  *  *  *  * | 0  1  0 0  0  1  0 0  0
.ooo3.ooo3.ooo *b3.ooo&#x  |  0  1  1  1 |  0  0  0  0   1   1  0  0   1  0  0 |  *  *  *  *  *  *  *  *  *  *  * 192  *  *  *  *  * | 0  0  1 0  0  0  1 0  1
..o.3..x. ....    ....     |  0  0  3  0 |  0  0  0  0   0   0  3  0   0  0  0 |  *  *  *  *  *  *  *  *  *  *  *   * 32  *  *  *  * | 0  0  0 0  1  0  0 1  0
.... ..x.3..x.    ....     |  0  0  6  0 |  0  0  0  0   0   0  3  3   0  0  0 |  *  *  *  *  *  *  *  *  *  *  *   *  * 32  *  *  * | 0  0  1 0  0  0  0 1  0
..ox .... ....    ....&#x  |  0  0  1  2 |  0  0  0  0   0   0  0  0   2  1  0 |  *  *  *  *  *  *  *  *  *  *  *   *  *  * 96  *  * | 0  0  0 0  0  0  1 0  1
.... .... ..xx    ....&#x  |  0  0  2  2 |  0  0  0  0   0   0  0  1   2  0  1 |  *  *  *  *  *  *  *  *  *  *  *   *  *  *  * 96  * | 0  0  1 0  0  0  0 0  1
...x .... ...x    ....     |  0  0  0  4 |  0  0  0  0   0   0  0  0   0  2  2 |  *  *  *  *  *  *  *  *  *  *  *   *  *  *  *  * 24 | 0  0  0 0  0  0  0 0  2
---------------------------+-------------+-------------------------------------+-----------------------------------------------------+------------------------
.... x...3o... *b3o...     ♦  6  0  0  0 | 12  0  0  0   0   0  0  0   0  0  0 |  4  4  0  0  0  0  0  0  0  0  0   0  0  0  0  0  0 | 8  *  * *  *  *  * *  *
.... xo.f3.... *b3ox.o&#zx ♦  3  3  0  3 |  3  3  0  3   0   6  0  0   0  0  0 |  0  1  3  0  0  0  1  0  0  0  3   0  0  0  0  0  0 | * 32  * *  *  *  * *  *
.... xoxf3oFxx    ....&#zx ♦  3  3  6  6 |  3  6  0  0   6   6  3  3   6  0  3 |  1  0  3  3  0  0  0  0  3  0  0   6  0  1  0  3  0 | *  * 32 *  *  *  * *  *
.x..3.o.. .... *b3.x..     ♦  0 12  0  0 |  0  0 12 12   0   0  0  0   0  0  0 |  0  0  0  0  4  6  4  0  0  0  0   0  0  0  0  0  0 | *  *  * 8  *  *  * *  *
.xo.3.ox. ....    ....&#x  ♦  0  3  3  0 |  0  0  3  0   6   0  3  0   0  0  0 |  0  0  0  0  1  0  0  3  3  0  0   0  1  0  0  0  0 | *  *  * * 32  *  * *  *
.x.x .... ....    .x.o&#x  ♦  0  4  0  2 |  0  0  2  2   0   4  0  0   0  1  0 |  0  0  0  0  0  1  0  0  0  2  2   0  0  0  0  0  0 | *  *  * *  * 48  * *  *
.xox .... ....    ....&#x  ♦  0  2  1  2 |  0  0  1  0   2   2  0  0   2  1  0 |  0  0  0  0  0  0  0  1  0  1  0   2  0  0  1  0  0 | *  *  * *  *  * 96 *  *
..o.3..x.3..x.    ....     ♦  0  0 12  0 |  0  0  0  0   0   0 12  6   0  0  0 |  0  0  0  0  0  0  0  0  0  0  0   0  4  4  0  0  0 | *  *  * *  *  *  * 8  *
..ox .... ..xx    ....&#x  ♦  0  0  2  4 |  0  0  0  0   0   0  0  1   4  2  2 |  0  0  0  0  0  0  0  0  0  0  0   0  0  0  2  2  1 | *  *  * *  *  *  * * 48
```