Acronym ...
Name FAxoFFxxox3foFFxofxxo oxofofxFof3ooxofxfoFf&#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 oxofofxFof 3 ooxofxfoFf &#zx. Then a Stott expansion wrt. the first node produces this polychoron (A = F+x = f+2x).


Incidence matrix according to Dynkin symbol

FAxoFFxxox3foFFxofxxo oxofofxFof3ooxofxfoFf&#zx   → all heights = 0 – but not all lacings exist

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