Acronym ...
Name oFxFox5AxFoFx2oxofox5ooxofx&#zx
Lace city
in approx. ASCII-art
                 x5x           x5x                 
                        F5o                        
                                                   
            o5F                     o5F            
     x5x                                   x5x     
                        F5x                        
                 x5F           x5F                 
                                                   
     F5o                                   F5o     
            F5x                     F5x            
                                                   
x5x                     o5A                     x5x
                                                   
            x5F                     x5F            
     o5F                                   o5F     
                                                   
                 F5x           F5x                 
                        x5F                        
     x5x                                   x5x     
            F5o                     F5o            
                                                   
                        o5F                        
                 x5x           x5x                 
Confer
uniform relative:
ex  
general polytopal classes:
expanded kaleido-facetings  

The relation to ex runs as follows: ex in pentagonal duoprismatic subsymmetry can be given as xfooxo5xofxoo oxofox5ooxofx&#zx (F = ff = f+x, V = uf = f+f). That will be transformed into (-x)fooxo5Fofxoo oxofox5ooxofx&#zx. Then into (-x)fofxo5Fof(-x)oo oxofox5ooxofx&#zx. And finally into (-x)fof(-x)o5Fof(-x)fo oxofox5ooxofx&#zx. Then a Stott expansion wrt. the first and second nodes produces this polychoron.


Incidence matrix according to Dynkin symbol

oFxFox5AxFoFx oxofox5ooxofx&#zx   → all heights = 0  except those of the not existing lacing(1,2), lacing(1,4), lacing(1,5), lacing(1,6), lacing(2,5), lacing(2,6), lacing(3,4), lacing(3,6), and lacing(4,5)

o.....5o..... o.....5o.....     | 5  *  *  *  *   *  10  0  0   0  0  1  0  0   0   0  0  0  0  0 |  5 10  0  0  0  0  0   0  0  0  0  0  0  0  0  0  0  0  0 |  5  2 0  0  0  0  0 0 0
.o....5.o.... .o....5.o....     | * 50  *  *  *   * |  0  1  2   2  1  0  0  0   0   0  0  0  0  0 |  0  0  2  1  2  1  1   2  0  0  0  0  0  0  0  0  0  0  0 |  0  1 1  1  2  0  0 0 0
..o...5..o... ..o...5..o...     | *  * 50  *  *   * |  1  0  0   2  0  1  2  1   0   0  0  0  0  0 |  1  2  0  0  1  2  0   2  2  1  0  0  0  0  0  0  0  0  0 |  2  1 0  2  1  0  0 0 0
...o..5...o.. ...o..5...o..     | *  *  * 25  *   * |  0  0  0   0  2  0  0  0   4   0  0  0  0  0 |  0  0  0  0  0  0  1   4  0  0  2  2  0  0  0  0  0  0  0 |  0  0 0  2  2  1  0 0 0
....o.5....o. ....o.5....o.     | *  *  *  * 25   * |  0  0  0   0  0  0  0  2   0   4  0  0  0  0 |  0  0  0  0  0  0  0   4  0  1  0  0  2  2  0  0  0  0  0 |  0  0 0  2  2  0  1 0 0
.....o5.....o .....o5.....o     | *  *  *  *  * 100 |  0  0  0   0  0  0  0  0   1   1  1  1  1  1 |  0  0  0  0  0  0  0   1  0  0  1  1  1  1  1  1  1  1  1 |  0  0 0  1  1  1  1 1 1
--------------------------------+-------------------+----------------------------------------------+-----------------------------------------------------------+------------------------
o.o...5o.o... o.o...5o.o...&#x  | 1  0  1  0  0   0 | 50  *  *   *  *  *  *  *   *   *  *  *  *  * |  1  2  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
...... .x.... ...... ......     | 0  2  0  0  0   0 |  * 25  *   *  *  *  *  *   *   *  *  *  *  * |  0  0  2  0  0  0  1   0  0  0  0  0  0  0  0  0  0  0  0 |  0  0 1  0  2  0  0 0 0
...... ...... .x.... ......     | 0  2  0  0  0   0 |  *  * 50   *  *  *  *  *   *   *  *  *  *  * |  0  0  1  1  1  0  0   0  0  0  0  0  0  0  0  0  0  0  0 |  0  1 1  0  1  0  0 0 0
.oo...5.oo... .oo...5.oo...&#x  | 0  1  1  0  0   0 |  *  *  * 100  *  *  *  *   *   *  *  *  *  * |  0  0  0  0  1  1  0   1  0  0  0  0  0  0  0  0  0  0  0 |  0  1 0  1  1  0  0 0 0
.o.o..5.o.o.. .o.o..5.o.o..&#x  | 0  1  0  1  0   0 |  *  *  *   * 50  *  *  *   *   *  *  *  *  * |  0  0  0  0  0  0  1   2  0  0  0  0  0  0  0  0  0  0  0 |  0  0 0  1  2  0  0 0 0
..x... ...... ...... ......     | 0  0  2  0  0   0 |  *  *  *   *  * 25  *  *   *   *  *  *  *  * |  1  0  0  0  0  0  0   0  2  1  0  0  0  0  0  0  0  0  0 |  2  0 0  2  0  0  0 0 0
...... ...... ...... ..x...     | 0  0  2  0  0   0 |  *  *  *   *  *  * 50  *   *   *  *  *  *  * |  0  1  0  0  0  1  0   0  1  0  0  0  0  0  0  0  0  0  0 |  1  1 0  1  0  0  0 0 0
..o.o.5..o.o. ..o.o.5..o.o.&#x  | 0  0  1  0  1   0 |  *  *  *   *  *  *  * 50   *   *  *  *  *  * |  0  0  0  0  0  0  0   2  0  1  0  0  0  0  0  0  0  0  0 |  0  0 0  2  1  0  0 0 0
...o.o5...o.o ...o.o5...o.o&#x  | 0  0  0  1  0   1 |  *  *  *   *  *  *  *  * 100   *  *  *  *  * |  0  0  0  0  0  0  0   1  0  0  1  1  0  0  0  0  0  0  0 |  0  0 0  1  1  1  0 0 0
....oo5....oo ....oo5....oo&#x  | 0  0  0  0  1   1 |  *  *  *   *  *  *  *  *   * 100  *  *  *  * |  0  0  0  0  0  0  0   1  0  0  0  0  1  1  0  0  0  0  0 |  0  0 0  1  1  0  1 0 0
.....x ...... ...... ......     | 0  0  0  0  0   2 |  *  *  *   *  *  *  *  *   *   * 50  *  *  * |  0  0  0  0  0  0  0   0  0  0  0  0  1  0  1  1  1  0  0 |  0  0 0  1  0  0  1 1 1
...... .....x ...... ......     | 0  0  0  0  0   2 |  *  *  *   *  *  *  *  *   *   *  * 50  *  * |  0  0  0  0  0  0  0   0  0  0  1  0  0  0  1  0  0  1  1 |  0  0 0  0  1  1  0 1 1
...... ...... .....x ......     | 0  0  0  0  0   2 |  *  *  *   *  *  *  *  *   *   *  *  * 50  * |  0  0  0  0  0  0  0   0  0  0  0  0  0  1  0  1  0  1  0 |  0  0 0  0  1  0  1 1 0
...... ...... ...... .....x     | 0  0  0  0  0   2 |  *  *  *   *  *  *  *  *   *   *  *  *  * 50 |  0  0  0  0  0  0  0   0  0  0  0  1  0  0  0  0  1  0  1 |  0  0 0  1  0  1  0 0 1
--------------------------------+-------------------+----------------------------------------------+-----------------------------------------------------------+------------------------
o.x... ...... ...... ......&#x  | 1  0  2  0  0   0 |  2  0  0   0  0  1  0  0   0   0  0  0  0  0 | 25  *  *  *  *  *  *   *  *  *  *  *  *  *  *  *  *  *  * |  2  0 0  0  0  0  0 0 0
...... ...... ...... o.x...&#x  | 1  0  2  0  0   0 |  2  0  0   0  0  0  1  0   0   0  0  0  0  0 |  * 50  *  *  *  *  *   *  *  *  *  *  *  *  *  *  *  *  * |  1  1 0  0  0  0  0 0 0
...... .x.... .x.... ......     | 0  4  0  0  0   0 |  0  2  2   0  0  0  0  0   0   0  0  0  0  0 |  *  * 25  *  *  *  *   *  *  *  *  *  *  *  *  *  *  *  * |  0  0 1  0  1  0  0 0 0
...... ...... .x....5.o....     | 0  5  0  0  0   0 |  0  0  5   0  0  0  0  0   0   0  0  0  0  0 |  *  *  * 10  *  *  *   *  *  *  *  *  *  *  *  *  *  *  * |  0  1 1  0  0  0  0 0 0
...... ...... .xo... ......&#x  | 0  2  1  0  0   0 |  0  0  1   2  0  0  0  0   0   0  0  0  0  0 |  *  *  *  * 50  *  *   *  *  *  *  *  *  *  *  *  *  *  * |  0  1 0  0  1  0  0 0 0
...... ...... ...... .ox...&#x  | 0  1  2  0  0   0 |  0  0  0   2  0  0  1  0   0   0  0  0  0  0 |  *  *  *  *  * 50  *   *  *  *  *  *  *  *  *  *  *  *  * |  0  1 0  1  0  0  0 0 0
...... .x.o.. ...... ......&#x  | 0  2  0  1  0   0 |  0  1  0   0  2  0  0  0   0   0  0  0  0  0 |  *  *  *  *  *  * 25   *  *  *  *  *  *  *  *  *  *  *  * |  0  0 0  0  2  0  0 0 0
.ooooo5.ooooo .ooooo5.ooooo&#xr | 0  1  1  1  1   1 |  0  0  0   1  1  0  0  1   1   1  0  0  0  0 |  *  *  *  *  *  *  * 100  *  *  *  *  *  *  *  *  *  *  * |  0  0 0  1  1  0  0 0 0
..x... ...... ...... ..x...     | 0  0  4  0  0   0 |  0  0  0   0  0  2  2  0   0   0  0  0  0  0 |  *  *  *  *  *  *  *   * 25  *  *  *  *  *  *  *  *  *  * |  1  0 0  1  0  0  0 0 0
..x.o. ...... ...... ......&#x  | 0  0  2  0  1   0 |  0  0  0   0  0  1  0  2   0   0  0  0  0  0 |  *  *  *  *  *  *  *   *  * 25  *  *  *  *  *  *  *  *  * |  0  0 0  2  0  0  0 0 0
...... ...o.x ...... ......&#x  | 0  0  0  1  0   2 |  0  0  0   0  0  0  0  0   2   0  0  1  0  0 |  *  *  *  *  *  *  *   *  *  * 50  *  *  *  *  *  *  *  * |  0  0 0  0  1  1  0 0 0
...... ...... ...... ...o.x&#x  | 0  0  0  1  0   2 |  0  0  0   0  0  0  0  0   2   0  0  0  0  1 |  *  *  *  *  *  *  *   *  *  *  * 50  *  *  *  *  *  *  * |  0  0 0  1  0  1  0 0 0
....ox ...... ...... ......&#x  | 0  0  0  0  1   2 |  0  0  0   0  0  0  0  0   0   2  1  0  0  0 |  *  *  *  *  *  *  *   *  *  *  *  * 50  *  *  *  *  *  * |  0  0 0  1  0  0  1 0 0
...... ...... ....ox ......&#x  | 0  0  0  0  1   2 |  0  0  0   0  0  0  0  0   0   2  0  0  1  0 |  *  *  *  *  *  *  *   *  *  *  *  *  * 50  *  *  *  *  * |  0  0 0  0  1  0  1 0 0
.....x5.....x ...... ......     | 0  0  0  0  0  10 |  0  0  0   0  0  0  0  0   0   0  5  5  0  0 |  *  *  *  *  *  *  *   *  *  *  *  *  *  * 10  *  *  *  * |  0  0 0  0  0  0  0 1 1
.....x ...... .....x ......     | 0  0  0  0  0   4 |  0  0  0   0  0  0  0  0   0   0  2  0  2  0 |  *  *  *  *  *  *  *   *  *  *  *  *  *  *  * 25  *  *  * |  0  0 0  0  0  0  1 1 0
.....x ...... ...... .....x     | 0  0  0  0  0   4 |  0  0  0   0  0  0  0  0   0   0  2  0  0  2 |  *  *  *  *  *  *  *   *  *  *  *  *  *  *  *  * 25  *  * |  0  0 0  1  0  0  0 0 1
...... .....x .....x ......     | 0  0  0  0  0   4 |  0  0  0   0  0  0  0  0   0   0  0  2  2  0 |  *  *  *  *  *  *  *   *  *  *  *  *  *  *  *  *  * 25  * |  0  0 0  0  1  0  0 1 0
...... .....x ...... .....x     | 0  0  0  0  0   4 |  0  0  0   0  0  0  0  0   0   0  0  2  0  2 |  *  *  *  *  *  *  *   *  *  *  *  *  *  *  *  *  *  * 25 |  0  0 0  0  0  1  0 0 1
--------------------------------+-------------------+----------------------------------------------+-----------------------------------------------------------+------------------------
o.x... ...... ...... o.x...&#x   1  0  4  0  0   0 |  4  0  0   0  0  2  2  0   0   0  0  0  0  0 |  2  2  0  0  0  0  0   0  1  0  0  0  0  0  0  0  0  0  0 | 25  * *  *  *  *  * * *
...... ...... oxo...5oox...&#zx  1  5  5  0  0   0 |  5  0  5  10  0  0  5  0   0   0  0  0  0  0 |  0  5  0  1  5  5  0   0  0  0  0  0  0  0  0  0  0  0  0 |  * 10 *  *  *  *  * * * (tower: 132)
...... .x.... .x....5.o....      0 10  0  0  0   0 |  0  5 10   0  0  0  0  0   0   0  0  0  0  0 |  0  0  5  2  0  0  0   0  0  0  0  0  0  0  0  0  0  0  0 |  *  * 5  *  *  *  * * *
.FxFox ...... ...... .oxofx&#zx  0  2  4  2  2   4 |  0  0  0   4  2  2  2  4   4   4  2  0  0  2 |  0  0  0  0  0  2  0   4  1  2  0  2  2  0  0  0  1  0  0 |  *  * * 25  *  *  * * * (tower: 32546)
...... .xFoFx .xofox ......&#xt  0  4  2  2  2   4 |  0  2  2   4  4  0  0  2   4   4  0  2  2  0 |  0  0  1  0  2  0  2   4  0  0  2  0  0  2  0  0  0  1  0 |  *  * *  * 25  *  * * * (tower: 23456)
...... ...o.x ...... ...o.x&#x   0  0  0  1  0   4 |  0  0  0   0  0  0  0  0   4   0  0  2  0  2 |  0  0  0  0  0  0  0   0  0  0  2  2  0  0  0  0  0  0  1 |  *  * *  *  * 25  * * *
....ox ...... ....ox ......&#x   0  0  0  0  1   4 |  0  0  0   0  0  0  0  0   0   4  2  0  2  0 |  0  0  0  0  0  0  0   0  0  0  0  0  2  2  0  1  0  0  0 |  *  * *  *  *  * 25 * *
.....x5.....x .....x ......      0  0  0  0  0  20 |  0  0  0   0  0  0  0  0   0   0 10 10 10  0 |  0  0  0  0  0  0  0   0  0  0  0  0  0  0  2  5  0  5  0 |  *  * *  *  *  *  * 5 *
.....x5.....x ...... .....x      0  0  0  0  0  20 |  0  0  0   0  0  0  0  0   0   0 10 10  0 10 |  0  0  0  0  0  0  0   0  0  0  0  0  0  0  2  0  5  0  5 |  *  * *  *  *  *  * * 5

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