Acronym ...
Name xfooo5xofxo oxofx5ooxox&#zx,
icosapentadiminished ex
Lace city
in approx. ASCII-art
                 o5o           o5o                 
                        o5x    E                   
                        D                          
                                                   
     o5o                                   o5o     
                        f5o                        
                 o5f    B      o5f                 
                               C                   
     o5x                                   o5x     
            f5o                     f5o            
                                                   
o5o                     x5x                     o5o
                        A                          
            o5f                     o5f            
                                                   
                                                   
                 f5o           f5o                 
                        o5f                        
     o5o                                   o5o     
            o5x                     o5x            
                                                   
                                                   
                 o5o           o5o                 
                 o5o           o5o                 
                        x5o    A                   
                        B                          
            o5x                     o5x            
     o5o                            C      o5o     
                                                   
                 f5o           f5o                 
                               D                   
     x5o                                   x5o     
                                                   
                                                   
o5o                     x5x                     o5o
                        E                          
            f5o                     f5o            
     o5x                                   o5x     
                                                   
                                                   
                        f5o                        
     o5o                                   o5o     
            x5o                     x5o            
                                                   
                        o5x                        
                 o5o           o5o                 
Confer
uniform relative:
ex  
related CRFs:
fooo5ofxo xofx5oxox&#zx  
general polytopal classes:
expanded kaleido-facetings  

The relation to ex runs as follows: ex wrt. its pedipic subsymmetry I2(5)×I2(5) can be given as xfooxo5xofxoo oxofox5ooxofx&#zx. This CRF then is obtained therefrom by omitting the fifth layer.

This polychoron can be further diminished in a CRF way by omitting the first layer additionally, then resulting in fooo5ofxo xofx5oxox&#zx.


Incidence matrix according to Dynkin symbol

xfooo 5 xofxo  oxofx 5 ooxox &#zx   → height = 0

o.... 5 o....  o.... 5 o....      | 10  *  *  *  * | 1 1  5  5  0   0  0  0  0  0  0 0 0 |  5  5  5  5  10  0  0   0  0  0  0  0  0 |  5  5  5  5  0  0  0  A
.o... 5 .o...  .o... 5 .o...      |  * 25  *  *  * | 0 0  2  0  2   4  2  0  0  0  0 0 0 |  1  4  0  0   4  4  2   4  1  0  0  0  0 |  2  0  4  2  2  2  0  B
..o.. 5 ..o..  ..o.. 5 ..o..      |  *  * 25  *  * | 0 0  0  2  0   4  0  2  2  0  0 0 0 |  0  0  1  4   4  2  4   4  0  1  2  0  0 |  0  2  2  4  2  4  0  C
...o. 5 ...o.  ...o. 5 ...o.      |  *  *  * 25  * | 0 0  0  0  0   0  2  0  2  2  2 0 0 |  0  0  0  0   0  0  0   4  2  2  1  4  1 |  0  0  0  0  4  2  2  D
....o 5 ....o  ....o 5 ....o      |  *  *  *  * 10 | 0 0  0  0  0   0  0  0  0  0  5 1 1 |  0  0  0  0   0  0  0   0  0  5  0  5  5 |  0  0  0  0  5  0  5  E
----------------------------------+----------------+-------------------------------------+------------------------------------------+---------------------
x....   .....  .....   .....      |  2  0  0  0  0 | 5 *  *  *  *   *  *  *  *  *  * * * |  0  0  5  0   0  0  0   0  0  0  0  0  0 |  0  5  0  0  0  0  0
.....   x....  .....   .....      |  2  0  0  0  0 | * 5  *  *  *   *  *  *  *  *  * * * |  5  0  0  0   0  0  0   0  0  0  0  0  0 |  5  0  0  0  0  0  0
oo... 5 oo...  oo... 5 oo... &#x  |  1  1  0  0  0 | * * 50  *  *   *  *  *  *  *  * * * |  1  2  0  0   2  0  0   0  0  0  0  0  0 |  2  0  2  1  0  0  0
o.o.. 5 o.o..  o.o.. 5 o.o.. &#x  |  1  0  1  0  0 | * *  * 50  *   *  *  *  *  *  * * * |  0  0  1  2   2  0  0   0  0  0  0  0  0 |  0  2  1  2  0  0  0
.....   .....  .x...   .....      |  0  2  0  0  0 | * *  *  * 25   *  *  *  *  *  * * * |  0  2  0  0   0  2  0   0  0  0  0  0  0 |  1  0  2  0  1  0  0
.oo.. 5 .oo..  .oo.. 5 .oo.. &#x  |  0  1  1  0  0 | * *  *  *  * 100  *  *  *  *  * * * |  0  0  0  0   1  1  1   1  0  0  0  0  0 |  0  0  1  1  1  1  0
.o.o. 5 .o.o.  .o.o. 5 .o.o. &#x  |  0  1  0  1  0 | * *  *  *  *   * 50  *  *  *  * * * |  0  0  0  0   0  0  0   2  1  0  0  0  0 |  0  0  0  0  2  1  0
.....   .....  .....   ..x..      |  0  0  2  0  0 | * *  *  *  *   *  * 25  *  *  * * * |  0  0  0  2   0  0  2   0  0  0  1  0  0 |  0  1  0  2  0  2  0
..oo. 5 ..oo.  ..oo. 5 ..oo. &#x  |  0  0  1  1  0 | * *  *  *  *   *  *  * 50  *  * * * |  0  0  0  0   0  0  0   2  0  1  1  0  0 |  0  0  0  0  2  2  0
.....   ...x.  .....   .....      |  0  0  0  2  0 | * *  *  *  *   *  *  *  * 25  * * * |  0  0  0  0   0  0  0   0  1  0  0  2  0 |  0  0  0  0  2  0  1
...oo 5 ...oo  ...oo 5 ...oo &#x  |  0  0  0  1  1 | * *  *  *  *   *  *  *  *  * 50 * * |  0  0  0  0   0  0  0   0  0  1  0  2  1 |  0  0  0  0  2  0  2
.....   .....  ....x   .....      |  0  0  0  0  2 | * *  *  *  *   *  *  *  *  *  * 5 * |  0  0  0  0   0  0  0   0  0  5  0  0  0 |  0  0  0  0  5  0  0
.....   .....  .....   ....x      |  0  0  0  0  2 | * *  *  *  *   *  *  *  *  *  * * 5 |  0  0  0  0   0  0  0   0  0  0  0  0  5 |  0  0  0  0  0  0  5
----------------------------------+----------------+-------------------------------------+------------------------------------------+---------------------
.....   xo...  .....   ..... &#x  |  2  1  0  0  0 | 0 1  2  0  0   0  0  0  0  0  0 0 0 | 25  *  *  *   *  *  *   *  *  *  *  *  * |  2  0  0  0  0  0  0
.....   .....  ox...   ..... &#x  |  1  2  0  0  0 | 0 0  2  0  1   0  0  0  0  0  0 0 0 |  * 50  *  *   *  *  *   *  *  *  *  *  * |  1  0  1  0  0  0  0
x.o..   .....  .....   ..... &#x  |  2  0  1  0  0 | 1 0  0  2  0   0  0  0  0  0  0 0 0 |  *  * 25  *   *  *  *   *  *  *  *  *  * |  0  2  0  0  0  0  0
.....   .....  .....   o.x.. &#x  |  1  0  2  0  0 | 0 0  0  2  0   0  0  1  0  0  0 0 0 |  *  *  * 50   *  *  *   *  *  *  *  *  * |  0  1  0  1  0  0  0
ooo.. 5 ooo..  ooo.. 5 ooo.. &#x  |  1  1  1  0  0 | 0 0  1  1  0   1  0  0  0  0  0 0 0 |  *  *  *  * 100  *  *   *  *  *  *  *  * |  0  0  1  1  0  0  0
.....   .....  .xo..   ..... &#x  |  0  2  1  0  0 | 0 0  0  0  1   2  0  0  0  0  0 0 0 |  *  *  *  *   * 50  *   *  *  *  *  *  * |  0  0  1  0  1  0  0
.....   .....  .....   .ox.. &#x  |  0  1  2  0  0 | 0 0  0  0  0   2  0  1  0  0  0 0 0 |  *  *  *  *   *  * 50   *  *  *  *  *  * |  0  0  0  1  0  1  0
.ooo. 5 .ooo.  .ooo. 5 .ooo. &#x  |  0  1  1  1  0 | 0 0  0  0  0   1  1  0  1  0  0 0 0 |  *  *  *  *   *  *  * 100  *  *  *  *  * |  0  0  0  0  1  1  0
.....   .o.x.  .....   ..... &#x  |  0  1  0  2  0 | 0 0  0  0  0   0  2  0  0  1  0 0 0 |  *  *  *  *   *  *  *   * 25  *  *  *  * |  0  0  0  0  2  0  0
.....   .....  ..ofx   ..... &#xt |  0  0  1  2  2 | 0 0  0  0  0   0  0  0  2  0  2 1 0 |  *  *  *  *   *  *  *   *  * 25  *  *  * |  0  0  0  0  2  0  0
.....   .....  .....   ..xo. &#x  |  0  0  2  1  0 | 0 0  0  0  0   0  0  1  2  0  0 0 0 |  *  *  *  *   *  *  *   *  *  * 25  *  * |  0  0  0  0  0  2  0
.....   ...xo  .....   ..... &#x  |  0  0  0  2  1 | 0 0  0  0  0   0  0  0  0  1  2 0 0 |  *  *  *  *   *  *  *   *  *  *  * 50  * |  0  0  0  0  1  0  1
.....   .....  .....   ...ox &#x  |  0  0  0  1  2 | 0 0  0  0  0   0  0  0  0  0  2 0 1 |  *  *  *  *   *  *  *   *  *  *  *  * 25 |  0  0  0  0  0  0  2
----------------------------------+----------------+-------------------------------------+------------------------------------------+---------------------
.....   xo...  ox...   ..... &#x    2  2  0  0  0 | 0 1  4  0  1   0  0  0  0  0  0 0 0 |  2  2  0  0   0  0  0   0  0  0  0  0  0 | 25  *  *  *  *  *  *
x.o..   .....  .....   o.x.. &#x    2  0  2  0  0 | 1 0  0  4  0   0  0  1  0  0  0 0 0 |  0  0  2  2   0  0  0   0  0  0  0  0  0 |  * 25  *  *  *  *  *
.....   .....  oxo..   ..... &#x    1  2  1  0  0 | 0 0  2  1  1   2  0  0  0  0  0 0 0 |  0  1  0  0   2  1  0   0  0  0  0  0  0 |  *  * 50  *  *  *  *
.....   .....  .....   oox.. &#x    1  1  2  0  0 | 0 0  1  2  0   2  0  1  0  0  0 0 0 |  0  0  0  1   2  0  1   0  0  0  0  0  0 |  *  *  * 50  *  *  *
.....   .ofxo  .xofx   ..... &#xt   0  2  2  4  2 | 0 0  0  0  1   4  4  0  4  2  4 1 0 |  0  0  0  0   0  2  0   4  2  2  0  2  0 |  *  *  *  * 25  *  *
.....   .....  .....   .oxo. &#x    0  1  2  1  0 | 0 0  0  0  0   2  1  1  2  0  0 0 0 |  0  0  0  0   0  0  1   2  0  0  1  0  0 |  *  *  *  *  * 50  *
.....   ...xo  .....   ...ox &#x    0  0  0  2  2 | 0 0  0  0  0   0  0  0  0  1  4 0 1 |  0  0  0  0   0  0  0   0  0  0  0  2  2 |  *  *  *  *  *  * 25

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