Acronym ...
Name FAxoFFxxox3foFFxofxxo xoxFxFoAxF3oxxofxFoFf&#zx
Lace city
in approx. ASCII-art
                      x3o                                  
                      J                                    
                                                           
           x3x     F3o           o3x                       
           H       F             I                         
                                                           
                                                           
 x3o   F3o     o3F           F3x     x3f     o3x           
               D             E       G                     
                                                           
                                                           
                          x3F            F3x               
                          C                            x3o 
                                                           
                                                           
o3x    F3x     x3F    F3f     A3o    x3F           F3o     
                      A       B                            
                                                           
                                                           
    x3f           A3o             F3f           o3F     x3x
                                                           
                                                           
                                                           
o3x    F3x     x3F    F3f     A3o    x3F           F3o     
                                                           
                                                           
                                                       x3o 
                          x3F            F3x               
                                                           
                                                           
                                                           
 x3o   F3o     o3F           F3x     x3f     o3x           
                                                           
                                                           
                                                           
           x3x     F3o           o3x                       
                                                           
                                                           
                      x3o                                  
                      x3o                                  
                      A                                    
                                                           
           o3x     x3f           x3x                       
           B       E             C                         
                                                           
                                                           
 x3o   x3f     F3x           o3F     F3o     x3x           
               F             G       D                     
                                                           
                                                           
                          A3o            o3F               
                          H                            x3o 
                                                           
                                                           
x3x    o3F    A3o     F3f     x3F     A3o           x3f    
                      J       I                            
                                                           
                                                           
    F3o           x3F             F3f           F3x     o3x
                                                           
                                                           
                                                           
x3x    o3F    A3o     F3f     x3F     A3o           x3f    
                                                           
                                                           
                                                       x3o 
                          A3o            o3F               
                                                           
                                                           
                                                           
 x3o   x3f     F3x           o3F     F3o     x3x           
                                                           
                                                           
                                                           
           o3x     x3f           x3x                       
                                                           
                                                           
                      x3o                                  
Face vector 198, 702, 705, 201
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
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