Acronym ...
Name hexastratic ike-first cap of rectified hexacosachoron
Circumradius sqrt[5+2 sqrt(5)] = 3.077684
Lace city
in approx. ASCII-art
                        o5x        
                o5o             x5x
                                   
                    f5o            		F=ff=x+f=2x+v, 
            o5x                    		V=F+v=2f=2x+2v
                                o5F
                        f5x        
                                   
            x5x                    
    x5o             o5F            
                                   
                F5o             o5V
o5o                     f5f        
    o5f                            
            x5f                    
                                   
x5o                     V5o        
                                x5F
            F5o                    
    x5x             f5f            
            o5F                    
                                F5x
o5x                     o5V        
                                   
            f5x                    
    f5o                            
o5o                     f5f        
                o5F             V5o
                                   
    o5x             F5o            
            x5x                    
                                   
                        x5f        
                                F5o
            x5o                    
                    o5f            
                                   
                o5o             x5x
                        x5o        

                       x3o   o3f f3o   o3x                       
                                                                 
               o3x   x3f F3o   f3f   o3F f3x   x3o               
                                                                 		F=ff=x+f=2x+v, 
                                                                 		V=F+v=2f=2x+2v, 
        x3o x3f  oF3Vx  f3F V3x   x3V F3f  Vx3oF  f3x o3x        		A=F+x=3x+v, 
                                                                 		B=fff=A+v=3x+2v
          F3o             o3B       B3o             o3F          
     o3f       f3F   B3o       F3F       o3B   F3f       f3o     
                                                                 
   f3o f3f   V3x o3B   f3A   B3x x3B   A3f   B3o x3V   f3f o3f   
                                                                 
                                                                 
o3x o3F   x3V   F3F B3x   V3F       F3V   x3B F3F   V3x   F3o x3o
Confer
uniform variant:
rox  
related CRFs:
damibdrox  

Incidence matrix according to Dynkin symbol

xoxFofo3oxoofox5ooxooxx&#xt   → height(1,2) = height(3,4) = height(5,6) = (sqrt(5)-1)/4 = 0.309017
                                height(2,3) = height(6,7) = 1/2
                                height(4,5) = (3-sqrt(5))/4 = 0.190983

o......3o......5o......     | 12  *  *  *  *  *  *   5  5  0   0  0  0  0   0  0  0   0  0  0   0  0  0 |  5  5  5  0  0  0  0  0  0  0  0  0   0  0  0  0   0  0  0  0  0  0 | 1  5  1  0  0  0  0  0  0  0 0
.o.....3.o.....5.o.....     |  * 30  *  *  *  *  *   0  2  4   4  0  0  0   0  0  0   0  0  0   0  0  0 |  0  1  4  2  2  4  2  0  0  0  0  0   0  0  0  0   0  0  0  0  0  0 | 0  2  2  2  1  0  0  0  0  0 0
..o....3..o....5..o....     |  *  * 60  *  *  *  *   0  0  0   2  2  2  1   2  1  0   0  0  0   0  0  0 |  0  0  0  0  2  1  2  1  2  2  2  1   2  0  0  0   0  0  0  0  0  0 | 0  0  1  1  2  2  1  0  0  0 0
...o...3...o...5...o...     |  *  *  * 12  *  *  *   0  0  0   0  0  0  5   0  0  5   0  0  0   0  0  0 |  0  0  0  0  0  0  0  0  5  0  0  5   0  5  0  0   0  0  0  0  0  0 | 0  0  1  0  0  5  0  1  0  0 0
....o..3....o..5....o..     |  *  *  *  * 30  *  *   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  2  2  0   4  0  2  1   4  0  0  0  0  0 | 0  0  0  0  1  2  2  0  2  0 0
.....o.3.....o.5.....o.     |  *  *  *  *  * 60  * |  0  0  0   0  0  0  0   0  1  1   2  0  2   2  0  0 |  0  0  0  0  0  0  0  0  0  0  0  1   2  2  2  0   2  1  1  2  0  0 | 0  0  0  0  0  2  1  1  2  1 0
......o3......o5......o     |  *  *  *  *  *  * 60 |  0  0  0   0  0  0  0   0  0  0   0  1  0   2  2  1 |  0  0  0  0  0  0  0  0  0  0  0  0   0  0  0  1   2  0  2  2  1  2 | 0  0  0  0  0  0  1  0  2  2 1
----------------------------+----------------------+-----------------------------------------------------+---------------------------------------------------------------------+-------------------------------
x...... ....... .......     |  2  0  0  0  0  0  0 | 30  *  *   *  *  *  *   *  *  *   *  *  *   *  *  * |  2  1  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
oo.....3oo.....5oo.....&#x  |  1  1  0  0  0  0  0 |  * 60  *   *  *  *  *   *  *  *   *  *  *   *  *  * |  0  1  2  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
....... .x..... .......     |  0  2  0  0  0  0  0 |  *  * 60   *  *  *  *   *  *  *   *  *  *   *  *  * |  0  0  1  1  0  1  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
.oo....3.oo....5.oo....&#x  |  0  1  1  0  0  0  0 |  *  *  * 120  *  *  *   *  *  *   *  *  *   *  *  * |  0  0  0  0  1  1  1  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  2  0  0  0  0 |  *  *  *   * 60  *  *   *  *  *   *  *  *   *  *  * |  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  1  1  0  1  0  0  0 0
....... ....... ..x....     |  0  0  2  0  0  0  0 |  *  *  *   *  * 60  *   *  *  *   *  *  *   *  *  * |  0  0  0  0  0  0  1  0  1  0  1  0   0  0  0  0   0  0  0  0  0  0 | 0  0  1  0  1  1  0  0  0  0 0
..oo...3..oo...5..oo...&#x  |  0  0  1  1  0  0  0 |  *  *  *   *  *  * 60   *  *  *   *  *  *   *  *  * |  0  0  0  0  0  0  0  0  2  0  0  1   0  0  0  0   0  0  0  0  0  0 | 0  0  1  0  0  2  0  0  0  0 0
..o.o..3..o.o..5..o.o..&#x  |  0  0  1  0  1  0  0 |  *  *  *   *  *  *  * 120  *  *   *  *  *   *  *  * |  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  1  1  0  0  0 0
..o..o.3..o..o.5..o..o.&#x  |  0  0  1  0  0  1  0 |  *  *  *   *  *  *  *   * 60  *   *  *  *   *  *  * |  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  2  1  0  0  0 0
...o.o.3...o.o.5...o.o.&#x  |  0  0  0  1  0  1  0 |  *  *  *   *  *  *  *   *  * 60   *  *  *   *  *  * |  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  2  0  1  0  0 0
....oo.3....oo.5....oo.&#x  |  0  0  0  0  1  1  0 |  *  *  *   *  *  *  *   *  *  * 120  *  *   *  *  * |  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  1  1  0  1  0 0
....o.o3....o.o5....o.o&#x  |  0  0  0  0  1  0  1 |  *  *  *   *  *  *  *   *  *  *   * 60  *   *  *  * |  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  0 0
....... ....... .....x.     |  0  0  0  0  0  2  0 |  *  *  *   *  *  *  *   *  *  *   *  * 60   *  *  * |  0  0  0  0  0  0  0  0  0  0  0  0   0  1  1  0   0  1  0  1  0  0 | 0  0  0  0  0  1  0  1  1  1 0
.....oo3.....oo5.....oo&#x  |  0  0  0  0  0  1  1 |  *  *  *   *  *  *  *   *  *  *   *  *  * 120  *  * |  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  1  0  1  1 0
....... ......x .......     |  0  0  0  0  0  0  2 |  *  *  *   *  *  *  *   *  *  *   *  *  *   * 60  * |  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  1  0  0  1 1
....... ....... ......x     |  0  0  0  0  0  0  2 |  *  *  *   *  *  *  *   *  *  *   *  *  *   *  * 30 |  0  0  0  0  0  0  0  0  0  0  0  0   0  0  0  1   0  0  0  2  0  2 | 0  0  0  0  0  0  0  0  2  2 1
----------------------------+----------------------+-----------------------------------------------------+---------------------------------------------------------------------+-------------------------------
x......3o...... .......     |  3  0  0  0  0  0  0 |  3  0  0   0  0  0  0   0  0  0   0  0  0   0  0  0 | 20  *  *  *  *  *  *  *  *  *  *  *   *  *  *  *   *  *  *  *  *  * | 1  1  0  0  0  0  0  0  0  0 0
xo..... ....... .......&#x  |  2  1  0  0  0  0  0 |  1  2  0   0  0  0  0   0  0  0   0  0  0   0  0  0 |  * 30  *  *  *  *  *  *  *  *  *  *   *  *  *  *   *  *  *  *  *  * | 0  2  0  0  0  0  0  0  0  0 0
....... ox..... .......&#x  |  1  2  0  0  0  0  0 |  0  2  1   0  0  0  0   0  0  0   0  0  0   0  0  0 |  *  * 60  *  *  *  *  *  *  *  *  *   *  *  *  *   *  *  *  *  *  * | 0  1  1  0  0  0  0  0  0  0 0
.o.....3.x..... .......     |  0  3  0  0  0  0  0 |  0  0  3   0  0  0  0   0  0  0   0  0  0   0  0  0 |  *  *  * 20  *  *  *  *  *  *  *  *   *  *  *  *   *  *  *  *  *  * | 0  1  0  1  0  0  0  0  0  0 0
.ox.... ....... .......&#x  |  0  1  2  0  0  0  0 |  0  0  0   2  1  0  0   0  0  0   0  0  0   0  0  0 |  *  *  *  * 60  *  *  *  *  *  *  *   *  *  *  *   *  *  *  *  *  * | 0  0  0  1  1  0  0  0  0  0 0
....... .xo.... .......&#x  |  0  2  1  0  0  0  0 |  0  0  1   2  0  0  0   0  0  0   0  0  0   0  0  0 |  *  *  *  *  * 60  *  *  *  *  *  *   *  *  *  *   *  *  *  *  *  * | 0  0  1  1  0  0  0  0  0  0 0
....... ....... .ox....&#x  |  0  1  2  0  0  0  0 |  0  0  0   2  0  1  0   0  0  0   0  0  0   0  0  0 |  *  *  *  *  *  * 60  *  *  *  *  *   *  *  *  *   *  *  *  *  *  * | 0  0  1  0  1  0  0  0  0  0 0
..x....3..o.... .......     |  0  0  3  0  0  0  0 |  0  0  0   0  3  0  0   0  0  0   0  0  0   0  0  0 |  *  *  *  *  *  *  * 20  *  *  *  *   *  *  *  *   *  *  *  *  *  * | 0  0  0  1  0  0  1  0  0  0 0
....... ....... ..xo...&#x  |  0  0  2  1  0  0  0 |  0  0  0   0  0  1  2   0  0  0   0  0  0   0  0  0 |  *  *  *  *  *  *  *  * 60  *  *  *   *  *  *  *   *  *  *  *  *  * | 0  0  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  0   2  0  0   0  0  0   0  0  0 |  *  *  *  *  *  *  *  *  * 60  *  *   *  *  *  *   *  *  *  *  *  * | 0  0  0  0  1  0  1  0  0  0 0
....... ....... ..x.o..&#x  |  0  0  2  0  1  0  0 |  0  0  0   0  0  1  0   2  0  0   0  0  0   0  0  0 |  *  *  *  *  *  *  *  *  *  * 60  *   *  *  *  *   *  *  *  *  *  * | 0  0  0  0  1  1  0  0  0  0 0
..oo.o.3..oo.o.5..oo.o.&#x  |  0  0  1  1  0  1  0 |  0  0  0   0  0  0  1   0  1  1   0  0  0   0  0  0 |  *  *  *  *  *  *  *  *  *  *  * 60   *  *  *  *   *  *  *  *  *  * | 0  0  0  0  0  2  0  0  0  0 0
..o.oo.3..o.oo.5..o.oo.&#x  |  0  0  1  0  1  1  0 |  0  0  0   0  0  0  0   1  1  0   1  0  0   0  0  0 |  *  *  *  *  *  *  *  *  *  *  *  * 120  *  *  *   *  *  *  *  *  * | 0  0  0  0  0  1  1  0  0  0 0
....... ....... ...o.x.&#x  |  0  0  0  1  0  2  0 |  0  0  0   0  0  0  0   0  0  2   0  0  1   0  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *   * 60  *  *   *  *  *  *  *  * | 0  0  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  0  0   2  0  1   0  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *   *  * 60  *   *  *  *  *  *  * | 0  0  0  0  0  1  0  0  1  0 0
....... ....... ....o.x&#x  |  0  0  0  0  1  0  2 |  0  0  0   0  0  0  0   0  0  0   0  2  0   0  0  1 |  *  *  *  *  *  *  *  *  *  *  *  *   *  *  * 30   *  *  *  *  *  * | 0  0  0  0  0  0  0  0  2  0 0
....ooo3....ooo5....ooo&#x  |  0  0  0  0  1  1  1 |  0  0  0   0  0  0  0   0  0  0   1  1  0   1  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *   *  *  *  * 120  *  *  *  *  * | 0  0  0  0  0  0  1  0  1  0 0
....... .....o.5.....x.     |  0  0  0  0  0  5  0 |  0  0  0   0  0  0  0   0  0  0   0  0  5   0  0  0 |  *  *  *  *  *  *  *  *  *  *  *  *   *  *  *  *   * 12  *  *  *  * | 0  0  0  0  0  0  0  1  0  1 0
....... .....ox .......&#x  |  0  0  0  0  0  1  2 |  0  0  0   0  0  0  0   0  0  0   0  0  0   2  1  0 |  *  *  *  *  *  *  *  *  *  *  *  *   *  *  *  *   *  * 60  *  *  * | 0  0  0  0  0  0  1  0  0  1 0
....... ....... .....xx&#x  |  0  0  0  0  0  2  2 |  0  0  0   0  0  0  0   0  0  0   0  0  1   2  0  1 |  *  *  *  *  *  *  *  *  *  *  *  *   *  *  *  *   *  *  * 60  *  * | 0  0  0  0  0  0  0  0  1  1 0
......o3......x .......     |  0  0  0  0  0  0  3 |  0  0  0   0  0  0  0   0  0  0   0  0  0   0  3  0 |  *  *  *  *  *  *  *  *  *  *  *  *   *  *  *  *   *  *  *  * 20  * | 0  0  0  0  0  0  1  0  0  0 1
....... ......x5......x     |  0  0  0  0  0  0 10 |  0  0  0   0  0  0  0   0  0  0   0  0  0   0  5  5 |  *  *  *  *  *  *  *  *  *  *  *  *   *  *  *  *   *  *  *  *  * 12 | 0  0  0  0  0  0  0  0  0  1 1
----------------------------+----------------------+-----------------------------------------------------+---------------------------------------------------------------------+-------------------------------
x......3o......5o......      12  0  0  0  0  0  0 | 30  0  0   0  0  0  0   0  0  0   0  0  0   0  0  0 | 20  0  0  0  0  0  0  0  0  0  0  0   0  0  0  0   0  0  0  0  0  0 | 1  *  *  *  *  *  *  *  *  * *
xo.....3ox..... .......&#x    3  3  0  0  0  0  0 |  3  6  3   0  0  0  0   0  0  0   0  0  0   0  0  0 |  1  3  3  1  0  0  0  0  0  0  0  0   0  0  0  0   0  0  0  0  0  0 | * 20  *  *  *  *  *  *  *  * *
....... oxoo...5ooxo...&#xt   1  5  5  1  0  0  0 |  0  5  5  10  0  5  5   0  0  0   0  0  0   0  0  0 |  0  0  5  0  0  5  5  0  5  0  0  0   0  0  0  0   0  0  0  0  0  0 | *  * 12  *  *  *  *  *  *  * *
.ox....3.xo.... .......&#x    0  3  3  0  0  0  0 |  0  0  3   6  3  0  0   0  0  0   0  0  0   0  0  0 |  0  0  0  1  3  3  0  1  0  0  0  0   0  0  0  0   0  0  0  0  0  0 | *  *  * 20  *  *  *  *  *  * *
.ox.o.. ....... .ox.o..&#xt   0  1  4  0  1  0  0 |  0  0  0   4  2  2  0   4  0  0   0  0  0   0  0  0 |  0  0  0  0  2  0  2  0  0  2  2  0   0  0  0  0   0  0  0  0  0  0 | *  *  *  * 30  *  *  *  *  * *
....... ....... ..xoox.&#xr   0  0  2  1  1  2  0 |  0  0  0   0  0  1  2   2  2  2   2  0  1   0  0  0 |  0  0  0  0  0  0  0  0  1  0  1  2   2  1  1  0   0  0  0  0  0  0 | *  *  *  *  * 60  *  *  *  * *  cycle: (CEFD)
..x.ofo3..o.fox .......&#xt   0  0  3  0  3  3  3 |  0  0  0   0  3  0  0   6  3  0   6  3  0   6  3  0 |  0  0  0  0  0  0  0  1  0  3  0  0   6  0  0  0   6  0  3  0  1  0 | *  *  *  *  *  * 20  *  *  * *
....... ...o.o.5...o.x.&#xt   0  0  0  1  0  5  0 |  0  0  0   0  0  0  0   0  0  5   0  0  5   0  0  0 |  0  0  0  0  0  0  0  0  0  0  0  0   0  5  0  0   0  1  0  0  0  0 | *  *  *  *  *  *  * 12  *  * *
....... ....... ....oxx&#x    0  0  0  0  1  2  2 |  0  0  0   0  0  0  0   0  0  0   2  2  1   2  0  1 |  0  0  0  0  0  0  0  0  0  0  0  0   0  0  1  1   2  0  0  1  0  0 | *  *  *  *  *  *  *  * 60  * *
....... .....ox5.....xx&#x    0  0  0  0  0  5 10 |  0  0  0   0  0  0  0   0  0  0   0  0  5  10  5  5 |  0  0  0  0  0  0  0  0  0  0  0  0   0  0  0  0   0  1  5  5  0  1 | *  *  *  *  *  *  *  *  * 12 *
......o3......x5......x       0  0  0  0  0  0 60 |  0  0  0   0  0  0  0   0  0  0   0  0  0   0 60 30 |  0  0  0  0  0  0  0  0  0  0  0  0   0  0  0  0   0  0  0  0 20 12 | *  *  *  *  *  *  *  *  *  * 1

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