Acronym ... Name FAxoFFxxox3foFFxofxxo xoxFxFoAxF3oxxofxFoFf&#zx Confer uniform relative: ex   general polytopal classes: expanded kaleido-facetings

The relation to ex runs as follows: ex in triangular duoprismatic subsymmetry can be given as fFoxffooxo 3 foFfxofxoo 2 oxofofxFof 3 ooxofxfoFf &#zx (F = ff = f+x). That will be transformed finally into fFo(-x)ffoo(-x)o 3 foFFxofxxo 2 o(-x)ofof(-x)Fof 3 oxxofxFoFf &#zx. Then a Stott expansion wrt. the first and second nodes produces this polychoron (A = F+x = f+2x).

Incidence matrix according to Dynkin symbol

```FAxoFFxxox3foFFxofxxo xoxFxFoAxF3oxxofxFoFf&#zx   → all heights = 0 – but not all lacings exist

o.........3o......... o.........3o.........     | 18 *  * *  *  *  *  *  *  * |  2  2  2  2 0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0 0  0 0 0  0  0 0  0  0 | 1  2  2  1  2  1  2  1  2 0  0  0 0 0 0  0  0  0  0  0  0  0 0 0  0  0  0  0  0  0  0  0 0  0  0 0 0  0  0 0 | 1 1  2 1  2  1 0 0 0 0  0  0 0 0  0 0 0 0 0
.o........3.o........ .o........3.o........     |  * 9  * *  *  *  *  *  *  * |  0  4  0  0 2  4  0  0  0  0  0  0  0  0  0  0  0 0  0  0 0  0 0 0  0  0 0  0  0 | 0  2  4  4  0  0  0  0  0 1  2  2 0 0 0  0  0  0  0  0  0  0 0 0  0  0  0  0  0  0  0  0 0  0  0 0 0  0  0 0 | 2 0  2 2  0  0 1 0 0 0  0  0 0 0  0 0 0 0 0
..o.......3..o....... ..o.......3..o.......     |  * * 36 *  *  *  *  *  *  * |  0  0  1  0 0  0  1  1  1  1  1  1  0  0  0  0  0 0  0  0 0  0 0 0  0  0 0  0  0 | 0  0  0  0  1  1  0  0  1 0  0  0 1 1 1  1  1  1  1  1  1  1 0 0  0  0  0  0  0  0  0  0 0  0  0 0 0  0  0 0 | 0 1  0 0  1  1 0 1 1 1  1  1 0 0  0 0 0 0 0
...o......3...o...... ...o......3...o......     |  * *  * 9  *  *  *  *  *  * |  0  0  0  0 0  0  0  0  0  4  0  0  2  0  0  0  0 0  0  0 0  0 0 0  0  0 0  0  0 | 0  0  0  0  0  0  0  0  0 0  0  0 0 0 0  2  2  0  0  0  0  4 1 0  0  0  0  0  0  0  0  0 0  0  0 0 0  0  0 0 | 0 0  0 0  0  2 0 0 1 0  0  2 0 0  0 0 0 0 0
....o.....3....o..... ....o.....3....o.....     |  * *  * * 36  *  *  *  *  * |  0  0  0  1 0  1  0  0  0  0  1  0  0  1  1  1  1 0  0  0 0  0 0 0  0  0 0  0  0 | 0  0  1  0  0  0  1  1  1 0  1  1 0 0 0  0  0  1  0  0  1  1 0 1  1  1  1  0  0  0  0  0 0  0  0 0 0  0  0 0 | 0 0  1 1  1  1 1 0 0 0  1  1 1 0  0 0 0 0 0
.....o....3.....o.... .....o....3.....o....     |  * *  * *  * 18  *  *  *  * |  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  2  0 1  2  1 0  0 0 0  0  0 0  0  0 | 0  0  0  0  0  0  0  2  0 0  0  0 0 0 0  0  0  0  0  0  0  2 0 0  1  0  2  1  2  2  0  0 0  0  0 0 0  0  0 0 | 0 0  0 1  0  2 0 0 0 0  0  2 1 1  1 0 0 0 0
......o...3......o... ......o...3......o...     |  * *  * *  *  * 18  *  *  * |  0  0  0  0 0  0  0  0  0  0  0  2  0  0  0  0  2 0  0  0 1  2 0 0  0  0 0  0  0 | 0  0  0  0  0  0  0  0  0 0  0  0 0 0 0  0  0  0  2  1  2  0 0 0  0  1  2  0  0  0  2  1 0  0  0 0 0  0  0 0 | 0 0  0 0  0  0 0 0 0 1  1  2 1 0  0 1 0 0 0
.......o..3.......o.. .......o..3.......o..     |  * *  * *  *  *  * 18  *  * |  0  0  0  0 0  0  0  0  0  0  0  0  1  0  0  0  0 0  2  0 0  0 1 1  2  0 0  0  0 | 0  0  0  0  0  0  0  0  0 0  0  0 0 0 0  0  0  0  0  0  0  2 1 0  0  0  0  2  1  2  0  0 1  2  2 0 0  0  0 0 | 0 0  0 0  0  1 0 0 0 0  0  2 0 1  2 0 2 0 0
........o.3........o. ........o.3........o.     |  * *  * *  *  *  *  * 18  * |  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0 0  2 0 0  0  2 1  2  0 | 0  0  0  0  0  0  0  0  0 0  0  0 0 0 0  0  0  0  0  0  0  0 0 0  0  0  2  0  0  0  1  2 0  0  0 1 2  1  2 0 | 0 0  0 0  0  0 0 0 0 0  0  1 2 0  0 1 0 1 1
.........o3.........o .........o3.........o     |  * *  * *  *  *  *  *  * 18 |  0  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  1 0  0 0 0  2  0 0  2  2 | 0  0  0  0  0  0  0  0  0 0  0  0 0 0 0  0  0  0  0  0  0  0 0 0  0  0  2  0  0  2  0  0 0  2  1 0 0  2  1 1 | 0 0  0 0  0  0 0 0 0 0  0  2 1 0  1 0 1 0 1
------------------------------------------------+-----------------------------+----------------------------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------+--------------------------------------------
.......... .......... x......... ..........     |  2 0  0 0  0  0  0  0  0  0 | 18  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  * *  *  * *  * * *  *  * *  *  * | 1  1  0  0  1  0  1  0  0 0  0  0 0 0 0  0  0  0  0  0  0  0 0 0  0  0  0  0  0  0  0  0 0  0  0 0 0  0  0 0 | 1 1  1 0  1  0 0 0 0 0  0  0 0 0  0 0 0 0 0
oo........3oo........ oo........3oo........&#x  |  1 1  0 0  0  0  0  0  0  0 |  * 36  *  * *  *  *  *  *  *  *  *  *  *  *  *  * *  *  * *  * * *  *  * *  *  * | 0  1  1  1  0  0  0  0  0 0  0  0 0 0 0  0  0  0  0  0  0  0 0 0  0  0  0  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 0 0  0 0 0 0 0
o.o.......3o.o....... o.o.......3o.o.......&#x  |  1 0  1 0  0  0  0  0  0  0 |  *  * 36  * *  *  *  *  *  *  *  *  *  *  *  *  * *  *  * *  * * *  *  * *  *  * | 0  0  0  0  1  1  0  0  1 0  0  0 0 0 0  0  0  0  0  0  0  0 0 0  0  0  0  0  0  0  0  0 0  0  0 0 0  0  0 0 | 0 1  0 0  1  1 0 0 0 0  0  0 0 0  0 0 0 0 0
o...o.....3o...o..... o...o.....3o...o.....&#x  |  1 0  0 0  1  0  0  0  0  0 |  *  *  * 36 *  *  *  *  *  *  *  *  *  *  *  *  * *  *  * *  * * *  *  * *  *  * | 0  0  1  0  0  0  1  1  1 0  0  0 0 0 0  0  0  0  0  0  0  0 0 0  0  0  0  0  0  0  0  0 0  0  0 0 0  0  0 0 | 0 0  1 1  1  1 0 0 0 0  0  0 0 0  0 0 0 0 0
.......... .......... .......... .x........     |  0 2  0 0  0  0  0  0  0  0 |  *  *  *  * 9  *  *  *  *  *  *  *  *  *  *  *  * *  *  * *  * * *  *  * *  *  * | 0  0  0  2  0  0  0  0  0 1  0  0 0 0 0  0  0  0  0  0  0  0 0 0  0  0  0  0  0  0  0  0 0  0  0 0 0  0  0 0 | 2 0  0 1  0  0 0 0 0 0  0  0 0 0  0 0 0 0 0
.o..o.....3.o..o..... .o..o.....3.o..o.....&#x  |  0 1  0 0  1  0  0  0  0  0 |  *  *  *  * * 36  *  *  *  *  *  *  *  *  *  *  * *  *  * *  * * *  *  * *  *  * | 0  0  1  0  0  0  0  0  0 0  1  1 0 0 0  0  0  0  0  0  0  0 0 0  0  0  0  0  0  0  0  0 0  0  0 0 0  0  0 0 | 0 0  1 1  0  0 1 0 0 0  0  0 0 0  0 0 0 0 0
..x....... .......... .......... ..........     |  0 0  2 0  0  0  0  0  0  0 |  *  *  *  * *  * 18  *  *  *  *  *  *  *  *  *  * *  *  * *  * * *  *  * *  *  * | 0  0  0  0  0  0  0  0  0 0  0  0 1 1 0  1  0  0  1  0  0  0 0 0  0  0  0  0  0  0  0  0 0  0  0 0 0  0  0 0 | 0 0  0 0  0  0 0 1 1 1  0  1 0 0  0 0 0 0 0
.......... .......... ..x....... ..........     |  0 0  2 0  0  0  0  0  0  0 |  *  *  *  * *  *  * 18  *  *  *  *  *  *  *  *  * *  *  * *  * * *  *  * *  *  * | 0  0  0  0  1  0  0  0  0 0  0  0 1 0 1  0  0  1  0  1  0  0 0 0  0  0  0  0  0  0  0  0 0  0  0 0 0  0  0 0 | 0 1  0 0  1  0 0 1 0 1  1  0 0 0  0 0 0 0 0
.......... .......... .......... ..x.......     |  0 0  2 0  0  0  0  0  0  0 |  *  *  *  * *  *  *  * 18  *  *  *  *  *  *  *  * *  *  * *  * * *  *  * *  *  * | 0  0  0  0  0  1  0  0  0 0  0  0 0 1 1  0  1  0  0  0  0  0 0 0  0  0  0  0  0  0  0  0 0  0  0 0 0  0  0 0 | 0 1  0 0  0  1 0 1 1 0  0  0 0 0  0 0 0 0 0
..oo......3..oo...... ..oo......3..oo......&#x  |  0 0  1 1  0  0  0  0  0  0 |  *  *  *  * *  *  *  *  * 36  *  *  *  *  *  *  * *  *  * *  * * *  *  * *  *  * | 0  0  0  0  0  0  0  0  0 0  0  0 0 0 0  1  1  0  0  0  0  1 0 0  0  0  0  0  0  0  0  0 0  0  0 0 0  0  0 0 | 0 0  0 0  0  1 0 0 1 0  0  1 0 0  0 0 0 0 0
..o.o.....3..o.o..... ..o.o.....3..o.o.....&#x  |  0 0  1 0  1  0  0  0  0  0 |  *  *  *  * *  *  *  *  *  * 36  *  *  *  *  *  * *  *  * *  * * *  *  * *  *  * | 0  0  0  0  0  0  0  0  1 0  0  0 0 0 0  0  0  1  0  0  1  1 0 0  0  0  0  0  0  0  0  0 0  0  0 0 0  0  0 0 | 0 0  0 0  1  1 0 0 0 0  1  1 0 0  0 0 0 0 0
..o...o...3..o...o... ..o...o...3..o...o...&#x  |  0 0  1 0  0  0  1  0  0  0 |  *  *  *  * *  *  *  *  *  *  * 36  *  *  *  *  * *  *  * *  * * *  *  * *  *  * | 0  0  0  0  0  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  0  0 0  0  0 0 0  0  0 0 | 0 0  0 0  0  0 0 0 0 1  1  1 0 0  0 0 0 0 0
...o...o..3...o...o.. ...o...o..3...o...o..&#x  |  0 0  0 1  0  0  0  1  0  0 |  *  *  *  * *  *  *  *  *  *  *  * 18  *  *  *  * *  *  * *  * * *  *  * *  *  * | 0  0  0  0  0  0  0  0  0 0  0  0 0 0 0  0  0  0  0  0  0  2 1 0  0  0  0  0  0  0  0  0 0  0  0 0 0  0  0 0 | 0 0  0 0  0  1 0 0 0 0  0  2 0 0  0 0 0 0 0
.......... ....x..... .......... ..........     |  0 0  0 0  2  0  0  0  0  0 |  *  *  *  * *  *  *  *  *  *  *  *  * 18  *  *  * *  *  * *  * * *  *  * *  *  * | 0  0  0  0  0  0  0  0  0 0  1  0 0 0 0  0  0  0  0  0  0  0 0 1  1  0  0  0  0  0  0  0 0  0  0 0 0  0  0 0 | 0 0  0 1  0  0 1 0 0 0  0  0 1 0  0 0 0 0 0
.......... .......... ....x..... ..........     |  0 0  0 0  2  0  0  0  0  0 |  *  *  *  * *  *  *  *  *  *  *  *  *  * 18  *  * *  *  * *  * * *  *  * *  *  * | 0  0  0  0  0  0  1  0  0 0  0  1 0 0 0  0  0  1  0  0  0  0 0 1  0  1  0  0  0  0  0  0 0  0  0 0 0  0  0 0 | 0 0  1 0  1  0 1 0 0 0  1  0 1 0  0 0 0 0 0
....oo....3....oo.... ....oo....3....oo....&#x  |  0 0  0 0  1  1  0  0  0  0 |  *  *  *  * *  *  *  *  *  *  *  *  *  *  * 36  * *  *  * *  * * *  *  * *  *  * | 0  0  0  0  0  0  0  1  0 0  0  0 0 0 0  0  0  0  0  0  0  1 0 0  1  0  1  0  0  0  0  0 0  0  0 0 0  0  0 0 | 0 0  0 1  0  1 0 0 0 0  0  1 1 0  0 0 0 0 0
....o.o...3....o.o... ....o.o...3....o.o...&#x  |  0 0  0 0  1  0  1  0  0  0 |  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  * 36 *  *  * *  * * *  *  * *  *  * | 0  0  0  0  0  0  0  0  0 0  0  0 0 0 0  0  0  0  0  0  1  0 0 0  0  1  1  0  0  0  0  0 0  0  0 0 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 0  0 0  0  2  0  0  0  0 |  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  * 9  *  * *  * * *  *  * *  *  * | 0  0  0  0  0  0  0  2  0 0  0  0 0 0 0  0  0  0  0  0  0  0 0 0  0  0  0  0  2  0  0  0 0  0  0 0 0  0  0 0 | 0 0  0 1  0  2 0 0 0 0  0  0 0 1  0 0 0 0 0
.....o.o..3.....o.o.. .....o.o..3.....o.o..&#x  |  0 0  0 0  0  1  0  1  0  0 |  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  * * 36  * *  * * *  *  * *  *  * | 0  0  0  0  0  0  0  0  0 0  0  0 0 0 0  0  0  0  0  0  0  1 0 0  0  0  0  1  1  1  0  0 0  0  0 0 0  0  0 0 | 0 0  0 0  0  1 0 0 0 0  0  1 0 1  1 0 0 0 0
.....o...o3.....o...o .....o...o3.....o...o&#x  |  0 0  0 0  0  1  0  0  0  1 |  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  * *  * 18 *  * * *  *  * *  *  * | 0  0  0  0  0  0  0  0  0 0  0  0 0 0 0  0  0  0  0  0  0  0 0 0  0  0  2  0  0  2  0  0 0  0  0 0 0  0  0 0 | 0 0  0 0  0  0 0 0 0 0  0  2 1 0  1 0 0 0 0
......x... .......... .......... ..........     |  0 0  0 0  0  0  2  0  0  0 |  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  * *  *  * 9  * * *  *  * *  *  * | 0  0  0  0  0  0  0  0  0 0  0  0 0 0 0  0  0  0  2  0  0  0 0 0  0  0  0  0  0  0  2  0 0  0  0 0 0  0  0 0 | 0 0  0 0  0  0 0 0 0 1  0  2 0 0  0 1 0 0 0
......o.o.3......o.o. ......o.o.3......o.o.&#x  |  0 0  0 0  0  0  1  0  1  0 |  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  * *  *  * * 36 * *  *  * *  *  * | 0  0  0  0  0  0  0  0  0 0  0  0 0 0 0  0  0  0  0  0  0  0 0 0  0  0  1  0  0  0  1  1 0  0  0 0 0  0  0 0 | 0 0  0 0  0  0 0 0 0 0  0  1 1 0  0 1 0 0 0
.......x.. .......... .......... ..........     |  0 0  0 0  0  0  0  2  0  0 |  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  * *  *  * *  * 9 *  *  * *  *  * | 0  0  0  0  0  0  0  0  0 0  0  0 0 0 0  0  0  0  0  0  0  0 1 0  0  0  0  0  0  0  0  0 1  2  0 0 0  0  0 0 | 0 0  0 0  0  0 0 0 0 0  0  2 0 0  0 0 2 0 0
.......... .......x.. .......... ..........     |  0 0  0 0  0  0  0  2  0  0 |  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  * *  *  * *  * * 9  *  * *  *  * | 0  0  0  0  0  0  0  0  0 0  0  0 0 0 0  0  0  0  0  0  0  0 0 0  0  0  0  2  0  0  0  0 1  0  2 0 0  0  0 0 | 0 0  0 0  0  0 0 0 0 0  0  0 0 1  2 0 2 0 0
.......o.o3.......o.o .......o.o3.......o.o&#x  |  0 0  0 0  0  0  0  1  0  1 |  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  * *  *  * *  * * * 36  * *  *  * | 0  0  0  0  0  0  0  0  0 0  0  0 0 0 0  0  0  0  0  0  0  0 0 0  0  0  0  0  0  1  0  0 0  1  1 0 0  0  0 0 | 0 0  0 0  0  0 0 0 0 0  0  1 0 0  1 0 1 0 0
.......... ........x. .......... ..........     |  0 0  0 0  0  0  0  0  2  0 |  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  * *  *  * *  * * *  * 18 *  *  * | 0  0  0  0  0  0  0  0  0 0  0  0 0 0 0  0  0  0  0  0  0  0 0 0  0  0  0  0  0  0  0  0 0  0  0 1 1  0  1 0 | 0 0  0 0  0  0 0 0 0 0  0  0 1 0  0 0 0 1 1
.......... .......... ........x. ..........     |  0 0  0 0  0  0  0  0  2  0 |  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  * *  *  * *  * * *  *  * 9  *  * | 0  0  0  0  0  0  0  0  0 0  0  0 0 0 0  0  0  0  0  0  0  0 0 0  0  0  0  0  0  0  0  2 0  0  0 0 2  0  0 0 | 0 0  0 0  0  0 0 0 0 0  0  0 2 0  0 1 0 1 0
........oo3........oo ........oo3........oo&#x  |  0 0  0 0  0  0  0  0  1  1 |  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  * *  *  * *  * * *  *  * * 36  * | 0  0  0  0  0  0  0  0  0 0  0  0 0 0 0  0  0  0  0  0  0  0 0 0  0  0  1  0  0  0  0  0 0  0  0 0 0  1  1 0 | 0 0  0 0  0  0 0 0 0 0  0  1 1 0  0 0 0 0 1
.........x .......... .......... ..........     |  0 0  0 0  0  0  0  0  0  2 |  *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  * *  *  * *  * * *  *  * *  * 18 | 0  0  0  0  0  0  0  0  0 0  0  0 0 0 0  0  0  0  0  0  0  0 0 0  0  0  0  0  0  0  0  0 0  1  0 0 0  1  0 1 | 0 0  0 0  0  0 0 0 0 0  0  1 0 0  0 0 1 0 1
------------------------------------------------+-----------------------------+----------------------------------------------------------------------------------+--------------------------------------------------------------------------------------------------------------+--------------------------------------------
.......... .......... x.........3o.........     |  3 0  0 0  0  0  0  0  0  0 |  3  0  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0 0  0 0 0  0  0 0  0  0 | 6  *  *  *  *  *  *  *  * *  *  * * * *  *  *  *  *  *  *  * * *  *  *  *  *  *  *  *  * *  *  * * *  *  * * | 1 1  0 0  0  0 0 0 0 0  0  0 0 0  0 0 0 0 0
.......... .......... xo........ ..........&#x  |  2 1  0 0  0  0  0  0  0  0 |  1  2  0  0 0  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0 0  0 0 0  0  0 0  0  0 | * 18  *  *  *  *  *  *  * *  *  * * * *  *  *  *  *  *  *  * * *  *  *  *  *  *  *  *  * *  *  * * *  *  * * | 1 0  1 0  0  0 0 0 0 0  0  0 0 0  0 0 0 0 0
oo..o.....3oo..o..... oo..o.....3oo..o.....&#x  |  1 1  0 0  1  0  0  0  0  0 |  0  1  0  1 0  1  0  0  0  0  0  0  0  0  0  0  0 0  0  0 0  0 0 0  0  0 0  0  0 | *  * 36  *  *  *  *  *  * *  *  * * * *  *  *  *  *  *  *  * * *  *  *  *  *  *  *  *  * *  *  * * *  *  * * | 0 0  1 1  0  0 0 0 0 0  0  0 0 0  0 0 0 0 0
.......... .......... .......... ox........&#x  |  1 2  0 0  0  0  0  0  0  0 |  0  2  0  0 1  0  0  0  0  0  0  0  0  0  0  0  0 0  0  0 0  0 0 0  0  0 0  0  0 | *  *  * 18  *  *  *  *  * *  *  * * * *  *  *  *  *  *  *  * * *  *  *  *  *  *  *  *  * *  *  * * *  *  * * | 1 0  0 1  0  0 0 0 0 0  0  0 0 0  0 0 0 0 0
.......... .......... x.x....... ..........&#x  |  2 0  2 0  0  0  0  0  0  0 |  1  0  2  0 0  0  0  1  0  0  0  0  0  0  0  0  0 0  0  0 0  0 0 0  0  0 0  0  0 | *  *  *  * 18  *  *  *  * *  *  * * * *  *  *  *  *  *  *  * * *  *  *  *  *  *  *  *  * *  *  * * *  *  * * | 0 1  0 0  1  0 0 0 0 0  0  0 0 0  0 0 0 0 0
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