Acronym ...
Name 4/10-luna of hexacosachoron
 
 ©
Circumradius (1+sqrt(5))/2 = 1.618034
Lace city
in approx. ASCII-art
                 o5o       
                        o5x
                           
            x5o            
     o5o                   
                        f5o
                 o5f       
                           
     o5x                   
            f5o            
                           
o5o                     x5x
                           
            o5f            
     x5o                   
                           
                 o5f       
                           
     o5o                   
            x5o            
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • at {3} between tet and tet:   arccos[-(1+3 sqrt(5))/8] = 164.477512°
  • at {3} between peppy and tet:   arccos[-sqrt(5/8)] = 142.238756°
  • at {10} between pero and pero:   144°
  • at {5} between peppy and pero:   108°
  • at {3} between tet and pero:   arccos[(3-sqrt(5))/sqrt(32)] = 82.238756°
Confer
uniform relative:
ex  
related CRFs:
1/10-luna of ex   2/10-luna of ex   3/10-luna of ex   rotunda of ex  
general polytopal classes:
luna  

Incidence matrix

2 * *  *  * *  *  *  *  1  5 1  5 0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0 0 0 | 5  5 10  5  5  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 | 5  5  5  5  0  0  0  0  0  0 0  0  0  0  0  0 0  0  0  0 0  axials of rosette
* 5 *  *  * *  *  *  *  0  2 0  0 2  4  2  2  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0 0 0 | 1  4  4  0  0  4 2  2  4  4 1  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 0 | 2  4  2  0  4  2  4  2  0  0 0  0  0  0  0  0 0  0  0  0 0  equatorials of rosette
* * 2  *  * *  *  *  *  0  0 1  0 0  0  0  0  5  5  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0 0 0 | 0  0  0  5  0  0 0  0  0  0 0  0  5 10  5  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  5  0  0  0  0  5  5 1  0  0  0  0  0 0  0  0  0 0  underneath top {5}
* * * 10  * *  *  *  *  0  0 0  1 0  2  0  0  1  0  2  2  1  2  1 0  0  0  0  0  0  0  0  0  0 0 0 | 0  0  2  1  2  1 0  2  2  2 0  0  2  2  0  2  2  2  2  2  1  1  2  0  0  0  0  0  0  0  0 0 0  0  0  0 0 | 0  1  2  2  1  2  2  0  2  1 0  2  2  2  1  0 0  0  0  0 0  above rosette {3}
* * *  * 10 *  *  *  *  0  0 0  0 0  0  1  0  0  0  0  2  0  0  0 1  2  1  2  2  0  0  0  0  0 0 0 | 0  0  0  0  0  0 0  0  2  0 1  2  0  0  0  1  0  2  2  2  0  0  0  2  2  2  2  2  2  1  0 0 0  0  0  0 0 | 0  0  0  0  0  1  2  2  0  0 0  1  2  2  0  2 1  2  1  0 0  underneath lateral {5}
* * *  *  * 5  *  *  *  0  0 0  0 0  0  0  2  0  0  0  0  2  0  0 0  4  0  0  0  2  2  0  0  0 0 0 | 0  0  0  0  0  0 1  0  0  4 0  4  0  0  0  0  0  4  0  0  2  0  0  2  0  4  4  0  0  0  4 1 0  0  0  0 0 | 0  0  0  0  2  0  4  2  0  0 0  0  4  0  0  2 0  4  0  2 0  intermediate equatorials
* * *  *  * * 10  *  * | 0  0 0  0 0  0  0  0  0  1  0  0  0  2  0 0  0  1  0  0  0  0  2  2  0 0 0 | 0  0  0  0  0  0 0  0  0  0 0  0  0  2  2  0  1  0  2  0  0  2  2  0  0  0  0  2  0  0  0 0 1  2  1  0 0 | 0  0  0  0  0  0  0  0  1  2 1  1  0  2  2  0 0  0  1  0 1  top ones of pero
* * *  *  * *  * 10  * | 0  0 0  0 0  0  0  0  0  0  0  0  0  0  1 0  0  0  2  0  1  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  2  1  0  2  0  0  2  0  2  2  0  2 0 0  1  2  1 0 | 0  0  0  0  0  0  0  0  0  0 0  0  2  2  1  0 0  2  2  1 1  medials of pero
* * *  *  * *  *  * 10 | 0  0 0  0 0  0  0  0  0  0  0  0  0  0  0 0  0  0  0  2  0  1  0  0  2 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  1  0  2  0  2  2  2 1 0  0  2  2 1 | 0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  1 1  2  2  2 2  equatorials of pero
-----------------------+----------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------+-----------------------------------------------------------
2 0 0  0  0 0  0  0  0 | 1  * *  * *  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  * * * | 5  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 | 5  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  0  0  0 | * 10 *  * *  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  * * * | 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 0 0  0  0  0 0 | 2  2  1  0  0  0  0  0  0  0 0  0  0  0  0  0 0  0  0  0 0
1 0 1  0  0 0  0  0  0 | *  * 2  * *  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  * * * | 0  0  0  5  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  5  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 | *  * * 10 *  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  * * * | 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 0  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 2 0  0  0 0  0  0  0 | *  * *  * 5  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  * * * | 0  2  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  0  0 0 0  0  0  0 0 | 1  2  0  0  2  0  0  0  0  0 0  0  0  0  0  0 0  0  0  0 0
0 1 0  1  0 0  0  0  0 | *  * *  * * 20  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  * * * | 0  0  1  0  0  1 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  0  1  1  1  0  0  0 0  0  0  0  0  0 0  0  0  0 0
0 1 0  0  1 0  0  0  0 | *  * *  * *  * 10  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  * * * | 0  0  0  0  0  0 0  0  2  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 | 0  0  0  0  0  1  2  2  0  0 0  0  0  0  0  0 0  0  0  0 0
0 1 0  0  0 1  0  0  0 | *  * *  * *  *  * 10  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  * * * | 0  0  0  0  0  0 1  0  0  2 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  2  0  2  1  0  0 0  0  0  0  0  0 0  0  0  0 0
0 0 1  1  0 0  0  0  0 | *  * *  * *  *  *  * 10  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  * * * | 0  0  0  1  0  0 0  0  0  0 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  0  0  2  1 0  0  0  0  0  0 0  0  0  0 0
0 0 1  0  0 0  1  0  0 | *  * *  * *  *  *  *  * 10  *  *  *  *  * *  *  *  *  *  *  *  *  *  * * * | 0  0  0  0  0  0 0  0  0  0 0  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  0  0  0  0  1  2 1  0  0  0  0  0 0  0  0  0 0
0 0 0  2  0 0  0  0  0 | *  * *  * *  *  *  *  *  * 10  *  *  *  * *  *  *  *  *  *  *  *  *  * * * | 0  0  0  0  1  0 0  1  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  1  0  0  1  0 0  1  0  0  0  0 0  0  0  0 0
0 0 0  1  1 0  0  0  0 | *  * *  * *  *  *  *  *  *  * 20  *  *  * *  *  *  *  *  *  *  *  *  * * * | 0  0  0  0  0  0 0  0  1  0 0  0  0  0  0  1  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  1  1  0  0  0 0  1  1  1  0  0 0  0  0  0 0
0 0 0  1  0 1  0  0  0 | *  * *  * *  *  *  *  *  *  *  * 10  *  * *  *  *  *  *  *  *  *  *  * * * | 0  0  0  0  0  0 0  0  0  2 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 0 | 0  0  0  0  1  0  2  0  0  0 0  0  2  0  0  0 0  0  0  0 0
0 0 0  1  0 0  1  0  0 | *  * *  * *  *  *  *  *  *  *  *  * 20  * *  *  *  *  *  *  *  *  *  * * * | 0  0  0  0  0  0 0  0  0  0 0  0  0  1  0  0  1  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  1  0  1  1  0 0  0  0  0 0
0 0 0  1  0 0  0  1  0 | *  * *  * *  *  *  *  *  *  *  *  *  * 10 *  *  *  *  *  *  *  *  *  * * * | 0  0  0  0  0  0 0  0  0  0 0  0  0  0  0  0  0  0  0  2  1  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  2  2  1  0 0  0  0  0 0
0 0 0  0  2 0  0  0  0 | *  * *  * *  *  *  *  *  *  *  *  *  *  * 5  *  *  *  *  *  *  *  *  * * * | 0  0  0  0  0  0 0  0  0  0 1  0  0  0  0  0  0  0  0  0  0  0  0  2  2  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  2 1  0  0  0 0
0 0 0  0  1 1  0  0  0 | *  * *  * *  *  *  *  *  *  *  *  *  *  * * 20  *  *  *  *  *  *  *  * * * | 0  0  0  0  0  0 0  0  0  0 0  1  0  0  0  0  0  1  0  0  0  0  0  1  0  1  1  0  0  0  0 0 0  0  0  0 0 | 0  0  0  0  0  0  1  1  0  0 0  0  1  0  0  1 0  1  0  0 0
0 0 0  0  1 0  1  0  0 | *  * *  * *  *  *  *  *  *  *  *  *  *  * *  * 10  *  *  *  *  *  *  * * * | 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  2  0  0  0 0 0  0  0  0 0 | 0  0  0  0  0  0  0  0  0  0 0  1  0  2  0  0 0  0  1  0 0
0 0 0  0  1 0  0  1  0 | *  * *  * *  *  *  *  *  *  *  *  *  *  * *  *  * 20  *  *  *  *  *  * * * | 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  0  1  1  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  1  1  0 0
0 0 0  0  1 0  0  0  1 | *  * *  * *  *  *  *  *  *  *  *  *  *  * *  *  *  * 20  *  *  *  *  * * * | 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  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  1  1  0 0
0 0 0  0  0 1  0  1  0 | *  * *  * *  *  *  *  *  *  *  *  *  *  * *  *  *  *  * 10  *  *  *  * * * | 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  2  0  0  0  0  2 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  1 0
0 0 0  0  0 1  0  0  1 | *  * *  * *  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  * 10  *  *  * * * | 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  2 1 0  0  0  0 0 | 0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  1 0  2  0  2 0
0 0 0  0  0 0  2  0  0 | *  * *  * *  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  * 10  *  * * * | 0  0  0  0  0  0 0  0  0  0 0  0  0  0  1  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  1  0 0  0  0  0 1
0 0 0  0  0 0  1  1  0 | *  * *  * *  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  * 20  * * * | 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  1  0  0  0 0 0  1  1  0 0 | 0  0  0  0  0  0  0  0  0  0 0  0  0  1  1  0 0  0  1  0 1
0 0 0  0  0 0  0  1  1 | *  * *  * *  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  * 20 * * | 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 0 0  0  1  1 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  2 | *  * *  * *  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  * 5 * | 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  0  2 1 | 0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0 0  0  0  2 2  {3}-{3}
0 0 0  0  0 0  0  0  2 | *  * *  * *  *  *  *  *  *  *  *  *  *  * *  *  *  *  *  *  *  *  *  * * 5 | 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 1 | 0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  0 1  0  2  0 2  {5}-{5}
-----------------------+----------------------------------------------------------------------------+----------------------------------------------------------------------------------------------------------+-----------------------------------------------------------
2 1 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  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 0  0  0  0 0
1 2 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  0  0  0  0  0 0 0 | * 10  *  *  *  * *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * * *  *  *  * * | 1  1  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  1 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 | *  * 20  *  *  * *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * * *  *  *  * * | 0  1  1  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 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 | *  *  * 10  *  * *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * * *  *  *  * * | 0  0  0  2  0  0  0  0  0  0 0  0  0  0  0  0 0  0  0  0 0
1 0 0  2  0 0  0  0  0 | 0  0 0  2 0  0  0  0  0  0  1  0  0  0  0 0  0  0  0  0  0  0  0  0  0 0 0 | *  *  *  * 10  * *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * * *  *  *  * * | 0  0  1  1  0  0  0  0  0  0 0  0  0  0  0  0 0  0  0  0 0
0 2 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  0  0 0 0 | *  *  *  *  * 10 *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * * *  *  *  * * | 0  1  0  0  1  0  0  0  0  0 0  0  0  0  0  0 0  0  0  0 0
0 2 0  0  0 1  0  0  0 | 0  0 0  0 1  0  0  2  0  0  0  0  0  0  0 0  0  0  0  0  0  0  0  0  0 0 0 | *  *  *  *  *  * 5  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * * *  *  *  * * | 0  0  0  0  2  0  0  0  0  0 0  0  0  0  0  0 0  0  0  0 0
0 1 0  2  0 0  0  0  0 | 0  0 0  0 0  2  0  0  0  0  1  0  0  0  0 0  0  0  0  0  0  0  0  0  0 0 0 | *  *  *  *  *  * * 10  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * * *  *  *  * * | 0  0  1  0  0  1  0  0  0  0 0  0  0  0  0  0 0  0  0  0 0
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0 0 0  0  2 1  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 0 | *  *  *  *  *  * *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  * 10  *  *  *  *  *  *  * * *  *  *  * * | 0  0  0  0  0  0  0  1  0  0 0  0  0  0  0  1 0  0  0  0 0
0 0 0  0  2 0  0  0  1 | 0  0 0  0 0  0  0  0  0  0  0  0  0  0  0 1  0  0  0  2  0  0  0  0  0 0 0 | *  *  *  *  *  * *  *  *  * *  *  *  *  *  *  *  *  *  *  *  *  *  * 10  *  *  *  *  *  * * *  *  *  * * | 0  0  0  0  0  0  0  0  0  0 0  0  0  0  0  1 1  0  0  0 0
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0 1 0  1  1 1  0  0  0 | 0  0 0  0 0  1  1  1  0  0  0  1  1  0  0 0  1  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  1  0  0  0  0  0  0  0  0  0  0  0  0  0 0 0  0  0  0 0 | *  *  *  *  *  * 20  *  *  * *  *  *  *  *  * *  *  *  * *  tet
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0 0 1  1  0 0  2  0  0 | 0  0 0  0 0  0  0  0  1  2  0  0  0  2  0 0  0  0  0  0  0  0  1  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  1  0  0  0  0  0  0  0  0  0 0 0  0  0  0 0 | *  *  *  *  *  *  *  *  * 10 *  *  *  *  *  * *  *  *  * *  tet
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0 0 0  1  0 0  2  1  0 | 0  0 0  0 0  0  0  0  0  0  0  0  0  2  1 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  0  0  0  0  0  0  0  1  2  0  0  0  0  0  0  0  0 0 0  1  0  0 0 | *  *  *  *  *  *  *  *  *  * *  *  *  * 10  * *  *  *  * *  tet
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