Acronym ...
Name equatorial tetrastratic segment of rectified hexacosachoron
Circumradius sqrt[5+2 sqrt(5)] = 3.077684
Lace city
in approx. ASCII-art 
            o5o            
    x5o             x5o    
            o5f            
                           
x5x                     x5x
                           
            x5f            		F=ff=x+f=2x+v, 
    F5o             F5o    		V=F+v=2f=2x+2v,
o5F                     o5F		A=F+x=3x+v
                           
                           
    f5f             f5f    
            V5o            
                           
o5V                     o5V
                           
            x5F            
    F5x             F5x    
                           
                           
x5F                     x5F
                           
           oA5Ao           
                           
F5x                     F5x
                           
                           
    x5F             x5F    
            F5x            
                           
V5o                     V5o
                           
            o5V            
    f5f             f5f    
                           
                           
F5o                     F5o
    o5F             o5F    
            f5x            
                           
x5x                     x5x
                           
            f5o            
    o5x             o5x    
            o5o            

 o3x o3F   x3V   F3F B3x   V3F       F3V   x3B F3F   V3x   F3o x3o 
                                                                   
   f3x   F3f B3o   x3B      fC3Bo Bo3fC      B3x   o3B f3F   x3f   
                                                                   		F=ff=x+f=2x+v,
                                                                   		V=F+v=2f=2x+2v,
x3o  Vx3oF  o3B A3f   F3V #           #   V3F   f3A B3o  oF3Vx  o3x		A=F+x=3x+v,
                        (Bo3fC)     (fC3Bo)                        		B=fff=A+v=3x+2v,
                                                                   		C=B+x=4x+2v=2F
   f3x   F3f B3o   x3B      fC3Bo Bo3fC      B3x   o3B f3F   x3f   
                                                                   
 o3x o3F   x3V   F3F B3x   V3F       F3V   x3B F3F   V3x   F3o x3o
Dihedral angles
  • at {3} between oct and oct:   arccos[-(1+3 sqrt(5))/8] = 164.477512°
  • at {3} between oct and squippy:   arccos[-(1+3 sqrt(5))/8] = 164.477512°
  • at {3} between ike and oct:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244°
  • at {3} between ike and squippy:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244°
  • at {3} between oct and peppy:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244°
  • at {5} between pecu and peppy:   144°
  • at {10} between pecu and tid:   144°
  • at {3} between ike and pecu:   126°
  • at {3} between oct and tid:   arccos[-sqrt(7-3 sqrt(5))/4] = 97.761244°
Face vector 312, 1260, 1248, 300
Confer
uniform relative:
rox  
related CRFs:
hexastratic ike-first cap of rox   fx.o2of.x3xx.o5xo.f&#zx  

Incidence matrix according to Dynkin symbol

fxoo2ofVx3xxoo5xoof&#zx   (V=2f)

o...2o...3o...5o...     | 120   *  *  * |   2  1   2   2  0   0   0   0  0 |  1  2   2   2   1   2   2  0  0   0   0   0  0 | 1  1  1   2  2  0  0
.o..2.o..3.o..5.o..     |   * 120  *  * |   0  0   2   0  1   2   1   2  0 |  0  0   2   1   0   0   2  1  1   2   2   2  0 | 0  1  0   2  1  2  1
..o.2..o.3..o.5..o.     |   *   * 12  * ♦   0  0   0   0  0   0  10   0  0 |  0  0   0   0   0   0   0  0  5  10   0   0  0 | 0  0  0   0  0  5  2
...o2...o3...o5...o     |   *   *  * 60 ♦   0  0   0   4  0   0   0   4  2 |  0  0   0   0   4   2   4  0  0   0   2   2  1 | 0  2  2   2  0  1  0
------------------------+---------------+----------------------------------+------------------------------------------------+---------------------
.... .... x... ....     |   2   0  0  0 | 120  *   *   *  *   *   *   *  * |  1  1   1   0   0   1   0  0  0   0   0   0  0 | 1  0  1   1  1  0  0
.... .... .... x...     |   2   0  0  0 |   * 60   *   *  *   *   *   *  * |  0  2   0   2   0   0   0  0  0   0   0   0  0 | 1  1  0   0  2  0  0
oo..2oo..3oo..5oo..&#x  |   1   1  0  0 |   *  * 240   *  *   *   *   *  * |  0  0   1   1   0   0   1  0  0   0   0   0  0 | 0  1  0   1  1  0  0
o..o2o..o3o..o5o..o&#x  |   1   0  0  1 |   *  *   * 240  *   *   *   *  * |  0  0   0   0   1   1   1  0  0   0   0   0  0 | 0  1  1   1  0  0  0
.x.. .... .... ....     |   0   2  0  0 |   *  *   *   * 60   *   *   *  * |  0  0   0   0   0   0   0  0  1   0   2   0  0 | 0  1  0   0  0  2  0
.... .... .x.. ....     |   0   2  0  0 |   *  *   *   *  * 120   *   *  * |  0  0   1   0   0   0   0  1  0   1   0   1  0 | 0  0  0   1  1  1  1
.oo.2.oo.3.oo.5.oo.&#x  |   0   1  1  0 |   *  *   *   *  *   * 120   *  * |  0  0   0   0   0   0   0  0  1   2   0   0  0 | 0  0  0   0  0  2  1
.o.o2.o.o3.o.o5.o.o&#x  |   0   1  0  1 |   *  *   *   *  *   *   * 240  * |  0  0   0   0   0   0   1  0  0   0   1   1  0 | 0  1  0   1  0  1  0
.... ...x .... ....     |   0   0  0  2 |   *  *   *   *  *   *   *   * 60 |  0  0   0   0   2   0   0  0  0   0   0   0  1 | 0  1  2   0  0  0  0
------------------------+---------------+----------------------------------+------------------------------------------------+---------------------
.... o...3x... ....     |   3   0  0  0 |   3  0   0   0  0   0   0   0  0 | 40  *   *   *   *   *   *  *  *   *   *   *  * | 1  0  1   0  0  0  0
.... .... x...5x...     |  10   0  0  0 |   5  5   0   0  0   0   0   0  0 |  * 24   *   *   *   *   *  *  *   *   *   *  * | 1  0  0   0  1  0  0
.... .... xx.. ....&#x  |   2   2  0  0 |   1  0   2   0  0   1   0   0  0 |  *  * 120   *   *   *   *  *  *   *   *   *  * | 0  0  0   1  1  0  0
.... .... .... xo..&#x  |   2   1  0  0 |   0  1   2   0  0   0   0   0  0 |  *  *   * 120   *   *   *  *  *   *   *   *  * | 0  1  0   0  1  0  0
.... o..x .... ....&#x  |   1   0  0  2 |   0  0   0   2  0   0   0   0  1 |  *  *   *   * 120   *   *  *  *   *   *   *  * | 0  1  1   0  0  0  0
.... .... x..o ....&#x  |   2   0  0  1 |   1  0   0   2  0   0   0   0  0 |  *  *   *   *   * 120   *  *  *   *   *   *  * | 0  0  1   1  0  0  0
oo.o2oo.o3oo.o5oo.o&#x  |   1   1  0  1 |   0  0   1   1  0   0   0   1  0 |  *  *   *   *   *   * 240  *  *   *   *   *  * | 0  1  0   1  0  0  0
.... .... .x..5.o..     |   0   5  0  0 |   0  0   0   0  0   5   0   0  0 |  *  *   *   *   *   *   * 24  *   *   *   *  * | 0  0  0   0  1  0  1
.xo. .... .... ....&#x  |   0   2  1  0 |   0  0   0   0  1   0   2   0  0 |  *  *   *   *   *   *   *  * 60   *   *   *  * | 0  0  0   0  0  2  0
.... .... .xo. ....&#x  |   0   2  1  0 |   0  0   0   0  0   1   2   0  0 |  *  *   *   *   *   *   *  *  * 120   *   *  * | 0  0  0   0  0  1  1
.x.o .... .... ....&#x  |   0   2  0  1 |   0  0   0   0  1   0   0   2  0 |  *  *   *   *   *   *   *  *  *   * 120   *  * | 0  1  0   0  0  1  0
.... .... .x.o ....&#x  |   0   2  0  1 |   0  0   0   0  0   1   0   2  0 |  *  *   *   *   *   *   *  *  *   *   * 120  * | 0  0  0   1  0  1  0
.... ...x3...o ....     |   0   0  0  3 |   0  0   0   0  0   0   0   0  3 |  *  *   *   *   *   *   *  *  *   *   *   * 20 | 0  0  2   0  0  0  0
------------------------+---------------+----------------------------------+------------------------------------------------+---------------------
.... o...3x...5x...     ♦  60   0  0  0 |  60 30   0   0  0   0   0   0  0 | 20 12   0   0   0   0   0  0  0   0   0   0  0 | 2  *  *   *  *  *  *
fx.o of.x .... xo.f&#zx ♦   4   4  0  4 |   0  2   8   8  2   0   0   8  2 |  0  0   0   4   4   0   8  0  0   0   4   0  0 | * 30  *   *  *  *  *
.... o..x3x..o ....&#x  ♦   3   0  0  3 |   3  0   0   6  0   0   0   0  3 |  1  0   0   0   3   3   0  0  0   0   0   0  1 | *  * 40   *  *  *  *
.... .... xx.o ....&#x  ♦   2   2  0  1 |   1  0   2   2  0   1   0   2  0 |  0  0   1   0   0   1   2  0  0   0   0   1  0 | *  *  * 120  *  *  *
.... .... xx..5xo..&#x  ♦  10   5  0  0 |   5  5  10   0  0   5   0   0  0 |  0  1   5   5   0   0   0  1  0   0   0   0  0 | *  *  *   * 24  *  *
.xoo .... .xoo ....&#xt ♦   0   4  1  1 |   0  0   0   0  2   2   4   4  0 |  0  0   0   0   0   0   0  0  2   2   2   2  0 | *  *  *   *  * 60  *
.... .... .xo.5.oo.&#x  ♦   0   5  1  0 |   0  0   0   0  0   5   5   0  0 |  0  0   0   0   0   0   0  1  0   5   0   0  0 | *  *  *   *  *  * 24

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