Acronym ...
Name 2/10-luna of hexacosachoron
 
 ©
Circumradius (1+sqrt(5))/2 = 1.618034
Lace city
in approx. ASCII-art
            o5o       
                   o5x
                      
       x5o            
o5o                   
                   f5o
            o5f       
                      
o5x                   
       f5o            
                      
                   x5x
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 {5} between peppy and pero:   108°
  • at {3} between tet and pero:   arccos[(3-sqrt(5))/sqrt(32)] = 82.238756°
  • at {10} between pero and pero:   72°
Confer
uniform relative:
ex  
related CRFs:
1/10-luna of ex   3/10-luna of ex   4/10-luna of ex   rotunda of ex   pentadiminished 2/10-luna of ex  
general polytopal classes:
luna  

Incidence matrix

2 * *  *  *  *  1  5  5 0  0  0  0  0  0  0  0  0 0  0 0 0 | 5  5 10  5 0  0  0  0  0  0 0  0  0  0 0 0  0  0  0  0 0 | 5  5  5 1  0  0  0  0  0  0 0 0
* 5 *  *  *  *  0  2  0 2  2  4  2  0  0  0  0  0 0  0 0 0 | 1  4  4  0 2  4  4  4  2  4 1  0  0  0 0 0  0  0  0  0 0 | 2  4  2 0  4  4  2  2  0  0 0 0
* * 5  *  *  *  0  0  0 0  2  0  0  2  4  2  0  0 0  0 0 0 | 0  0  0  0 1  0  4  4  0  0 0  4  2  4 1 0  0  0  0  0 0 | 0  0  0 0  2  4  2  0  2  2 0 0
* * * 10  *  * | 0  0  1 0  0  2  0  1  0  0  2  2 0  0 0 0 | 0  0  2  2 0  1  2  0  2  2 0  2  0  0 0 0  0  0  0  0 0 | 0  1  2 1  1  2  0  2  1  0 1 0
* * *  * 10  * | 0  0  0 0  0  0  1  0  2  0  0  2 1  2 0 0 | 0  0  0  0 0  0  0  2  0  2 1  2  2  2 0 0  1  2  2  1 0 | 0  0  0 0  0  2  2  1  2  2 1 1
* * *  *  * 10 | 0  0  0 0  0  0  0  0  0  1  0  0 0  2 1 1 | 0  0  0  0 0  0  0  0  0  0 0  0  0  2 1 0  0  2  1  2 1 | 0  0  0 0  0  0  0  0  2  1 2 1
---------------+--------------------------------------------+----------------------------------------------------------+--------------------------------
2 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 | 5  0  0 0  0  0  0  0  0  0 0 0
1 1 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 | 2  2  1 0  0  0  0  0  0  0 0 0
1 0 0  1  0  0 | *  * 10 *  *  *  *  *  *  *  *  * *  * * * | 0  0  2  2 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 2 0  0  0  0 | *  *  * 5  *  *  *  *  *  *  *  * *  * * * | 0  2  0  0 1  2  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 1 1  0  0  0 | *  *  * * 10  *  *  *  *  *  *  * *  * * * | 0  0  0  0 1  0  2  2  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 1 0  1  0  0 | *  *  * *  * 20  *  *  *  *  *  * *  * * * | 0  0  1  0 0  1  1  0  1  1 0  0  0  0 0 0  0  0  0  0 0 | 0  1  1 0  1  1  0  1  0  0 0 0
0 1 0  0  1  0 | *  *  * *  *  * 10  *  *  *  *  * *  * * * | 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  2  2  1  0  0 0 0
0 0 1  1  0  0 | *  *  * *  *  *  * 10  *  *  *  * *  * * * | 0  0  0  0 0  0  2  0  0  0 0  2  0  0 0 0  0  0  0  0 0 | 0  0  0 0  1  2  0  0  1  0 0 0
0 0 1  0  1  0 | *  *  * *  *  *  *  * 20  *  *  * *  * * * | 0  0  0  0 0  0  0  1  0  0 0  1  1  1 0 0  0  0  0  0 0 | 0  0  0 0  0  1  1  0  1  1 0 0
0 0 1  0  0  1 | *  *  * *  *  *  *  *  * 10  *  * *  * * * | 0  0  0  0 0  0  0  0  0  0 0  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  2  0  0 | *  *  * *  *  *  *  *  *  * 10  * *  * * * | 0  0  0  1 0  0  0  0  1  0 0  0  0  0 0 1  1  0  0  0 0 | 0  0  1 1  0  0  0  1  0  0 1 0
0 0 0  1  1  0 | *  *  * *  *  *  *  *  *  *  * 20 *  * * * | 0  0  0  0 0  0  0  0  0  1 0  1  0  0 0 0  1  1  0  0 0 | 0  0  0 0  0  1  0  1  1  0 1 0
0 0 0  0  2  0 | *  *  * *  *  *  *  *  *  *  *  * 5  * * * | 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  2  0  0  2 0 1
0 0 0  0  1  1 | *  *  * *  *  *  *  *  *  *  *  * * 20 * * | 0  0  0  0 0  0  0  0  0  0 0  0  0  1 0 0  0  1  1  1 0 | 0  0  0 0  0  0  0  0  1  1 1 1
0 0 0  0  0  2 | *  *  * *  *  *  *  *  *  *  *  * *  * 5 * | 0  0  0  0 0  0  0  0  0  0 0  0  0  0 1 0  0  2  0  0 1 | 0  0  0 0  0  0  0  0  2  0 2 0  {5}-{5}
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  2 1 | 0  0  0 0  0  0  0  0  0  0 2 1  {3}-{3}
---------------+--------------------------------------------+----------------------------------------------------------+--------------------------------
2 1 0  0  0  0 | 1  2  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
1 2 0  0  0  0 | 0  2  0 1  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
1 1 0  1  0  0 | 0  1  1 0  0  1  0  0  0  0  0  0 0  0 0 0 | *  * 20  * *  *  *  *  *  * *  *  *  * * *  *  *  *  * * | 0  1  1 0  0  0  0  0  0  0 0 0
1 0 0  2  0  0 | 0  0  2 0  0  0  0  0  0  0  1  0 0  0 0 0 | *  *  * 10 *  *  *  *  *  * *  *  *  * * *  *  *  *  * * | 0  0  1 1  0  0  0  0  0  0 0 0
0 2 1  0  0  0 | 0  0  0 1  2  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 2 0  1  0  0 | 0  0  0 1  0  2  0  0  0  0  0  0 0  0 0 0 | *  *  *  * * 10  *  *  *  * *  *  *  * * *  *  *  *  * * | 0  1  0 0  1  0  0  0  0  0 0 0
0 1 1  1  0  0 | 0  0  0 0  1  1  0  1  0  0  0  0 0  0 0 0 | *  *  *  * *  * 20  *  *  * *  *  *  * * *  *  *  *  * * | 0  0  0 0  1  1  0  0  0  0 0 0
0 1 1  0  1  0 | 0  0  0 0  1  0  1  0  1  0  0  0 0  0 0 0 | *  *  *  * *  *  * 20  *  * *  *  *  * * *  *  *  *  * * | 0  0  0 0  0  1  1  0  0  0 0 0
0 1 0  2  0  0 | 0  0  0 0  0  2  0  0  0  0  1  0 0  0 0 0 | *  *  *  * *  *  *  * 10  * *  *  *  * * *  *  *  *  * * | 0  0  1 0  0  0  0  1  0  0 0 0
0 1 0  1  1  0 | 0  0  0 0  0  1  1  0  0  0  0  1 0  0 0 0 | *  *  *  * *  *  *  *  * 20 *  *  *  * * *  *  *  *  * * | 0  0  0 0  0  1  0  1  0  0 0 0
0 1 0  0  2  0 | 0  0  0 0  0  0  2  0  0  0  0  0 1  0 0 0 | *  *  *  * *  *  *  *  *  * 5  *  *  * * *  *  *  *  * * | 0  0  0 0  0  0  2  0  0  0 0 0
0 0 1  1  1  0 | 0  0  0 0  0  0  0  1  1  0  0  1 0  0 0 0 | *  *  *  * *  *  *  *  *  * * 20  *  * * *  *  *  *  * * | 0  0  0 0  0  1  0  0  1  0 0 0
0 0 1  0  2  0 | 0  0  0 0  0  0  0  0  2  0  0  0 1  0 0 0 | *  *  *  * *  *  *  *  *  * *  * 10  * * *  *  *  *  * * | 0  0  0 0  0  0  1  0  0  1 0 0
0 0 1  0  1  1 | 0  0  0 0  0  0  0  0  1  1  0  0 0  1 0 0 | *  *  *  * *  *  *  *  *  * *  *  * 20 * *  *  *  *  * * | 0  0  0 0  0  0  0  0  1  1 0 0
0 0 1  0  0  2 | 0  0  0 0  0  0  0  0  0  2  0  0 0  0 1 0 | *  *  *  * *  *  *  *  *  * *  *  *  * 5 *  *  *  *  * * | 0  0  0 0  0  0  0  0  2  0 0 0
0 0 0  5  0  0 | 0  0  0 0  0  0  0  0  0  0  5  0 0  0 0 0 | *  *  *  * *  *  *  *  *  * *  *  *  * * 2  *  *  *  * * | 0  0  0 1  0  0  0  0  0  0 1 0
0 0 0  2  1  0 | 0  0  0 0  0  0  0  0  0  0  1  2 0  0 0 0 | *  *  *  * *  *  *  *  *  * *  *  *  * * * 10  *  *  * * | 0  0  0 0  0  0  0  1  0  0 1 0
0 0 0  1  2  2 | 0  0  0 0  0  0  0  0  0  0  0  2 0  2 1 0 | *  *  *  * *  *  *  *  *  * *  *  *  * * *  * 10  *  * * | 0  0  0 0  0  0  0  0  1  0 1 0
0 0 0  0  2  1 | 0  0  0 0  0  0  0  0  0  0  0  0 1  2 0 0 | *  *  *  * *  *  *  *  *  * *  *  *  * * *  *  * 10  * * | 0  0  0 0  0  0  0  0  0  1 0 1
0 0 0  0  1  2 | 0  0  0 0  0  0  0  0  0  0  0  0 0  2 0 1 | *  *  *  * *  *  *  *  *  * *  *  *  * * *  *  *  * 10 * | 0  0  0 0  0  0  0  0  0  0 1 1
0 0 0  0  0 10 | 0  0  0 0  0  0  0  0  0  0  0  0 0  0 5 5 | *  *  *  * *  *  *  *  *  * *  *  *  * * *  *  *  *  * 1 | 0  0  0 0  0  0  0  0  0  0 2 0
---------------+--------------------------------------------+----------------------------------------------------------+--------------------------------
2 2 0  0  0  0 | 1  4  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 | 5  *  * *  *  *  *  *  *  * * *  tet
1 2 0  1  0  0 | 0  2  1 1  0  2  0  0  0  0  0  0 0  0 0 0 | 0  1  2  0 0  1  0  0  0  0 0  0  0  0 0 0  0  0  0  0 0 | * 10  * *  *  *  *  *  *  * * *  tet
1 1 0  2  0  0 | 0  1  2 0  0  2  0  0  0  0  1  0 0  0 0 0 | 0  0  2  1 0  0  0  0  1  0 0  0  0  0 0 0  0  0  0  0 0 | *  * 10 *  *  *  *  *  *  * * *  tet
1 0 0  5  0  0 | 0  0  5 0  0  0  0  0  0  0  5  0 0  0 0 0 | 0  0  0  5 0  0  0  0  0  0 0  0  0  0 0 1  0  0  0  0 0 | *  *  * 2  *  *  *  *  *  * * *  peppy
0 2 1  1  0  0 | 0  0  0 1  2  2  0  1  0  0  0  0 0  0 0 0 | 0  0  0  0 1  1  2  0  0  0 0  0  0  0 0 0  0  0  0  0 0 | *  *  * * 10  *  *  *  *  * * *  tet
0 1 1  1  1  0 | 0  0  0 0  1  1  1  1  1  0  0  1 0  0 0 0 | 0  0  0  0 0  0  1  1  0  1 0  1  0  0 0 0  0  0  0  0 0 | *  *  * *  * 20  *  *  *  * * *  tet
0 1 1  0  2  0 | 0  0  0 0  1  0  2  0  2  0  0  0 1  0 0 0 | 0  0  0  0 0  0  0  2  0  0 1  0  1  0 0 0  0  0  0  0 0 | *  *  * *  *  * 10  *  *  * * *  tet
0 1 0  2  1  0 | 0  0  0 0  0  2  1  0  0  0  1  2 0  0 0 0 | 0  0  0  0 0  0  0  0  1  2 0  0  0  0 0 0  1  0  0  0 0 | *  *  * *  *  *  * 10  *  * * *  tet
0 0 1  1  2  2 | 0  0  0 0  0  0  0  1  2  2  0  2 0  2 1 0 | 0  0  0  0 0  0  0  0  0  0 0  2  0  2 1 0  0  1  0  0 0 | *  *  * *  *  *  *  * 10  * * *  peppy
0 0 1  0  2  1 | 0  0  0 0  0  0  0  0  2  1  0  0 1  2 0 0 | 0  0  0  0 0  0  0  0  0  0 0  0  1  2 0 0  0  0  1  0 0 | *  *  * *  *  *  *  *  * 10 * *  tet
0 0 0  5  5 10 | 0  0  0 0  0  0  0  0  0  0  5 10 0 10 5 5 | 0  0  0  0 0  0  0  0  0  0 0  0  0  0 0 1  5  5  0  5 1 | *  *  * *  *  *  *  *  *  * 2 *  pero
0 0 0  0  2  2 | 0  0  0 0  0  0  0  0  0  0  0  0 1  4 0 1 | 0  0  0  0 0  0  0  0  0  0 0  0  0  0 0 0  0  0  2  2 0 | *  *  * *  *  *  *  *  *  * * 5  tet

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