Acronym ...
Name 1/10-luna of hexacosachoron
  
 ©
Circumradius (1+sqrt(5))/2 = 1.618034
Lace city
in approx. ASCII-art 
     o5o       
            o5x
               
x5o            
               
            f5o
     o5f       
               
               
               
               
            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 {3} between peppy and peppy:   120°
  • at {5} between peppy and pero:   108°
  • at {3} between tet and pero:   arccos[(3-sqrt(5))/sqrt(32)] = 82.238756°
  • at {3} between peppy and pero:   60°
  • at {10} between pero and pero:   36°
Face vector 31, 100, 113, 44
Confer
uniform relative:
ex  
related CRFs:
dim-1/10-luna of ex   2/10-luna of ex   3/10-luna of ex   4/10-luna of ex   rotunda of ex  
general polytopal classes:
luna  

Incidence matrix

1  *  *  * ♦ 10  0  0  0  0  0  0  0 | 10 10 0  0  0  0  0  0  0  0 0 | 2 10 0  0  0  0
* 10  *  * |  1  2  2  2  1  0  0  0 |  2  2 1  3  2  4  2  1  0  0 0 | 1  3 1  3  2  1
*  * 10  * |  0  0  0  2  1  2  2  0 |  0  0 0  0  1  2  4  2  2  1 0 | 0  0 1  1  2  3
*  *  * 10 |  0  0  0  0  0  0  2  2 |  0  0 0  0  0  0  0  2  1  2 1 | 0  0 2  0  0  2
-----------+-------------------------+--------------------------------+----------------
1  1  0  0 | 10  *  *  *  *  *  *  * |  2  2 0  0  0  0  0  0  0  0 0 | 1  3 0  0  0  0
0  2  0  0 |  * 10  *  *  *  *  *  * |  1  0 1  1  1  0  0  0  0  0 0 | 1  1 1  1  0  0  para
0  2  0  0 |  *  * 10  *  *  *  *  * |  0  1 0  2  0  2  0  0  0  0 0 | 0  2 0  2  1  0  ortho
0  1  1  0 |  *  *  * 20  *  *  *  * |  0  0 0  0  1  1  1  1  0  0 0 | 0  0 1  1  1  1  para
0  1  1  0 |  *  *  *  * 10  *  *  * |  0  0 0  0  0  2  2  0  0  0 0 | 0  0 0  1  2  1  ortho
0  0  2  0 |  *  *  *  *  * 10  *  * |  0  0 0  0  0  0  2  0  1  0 0 | 0  0 0  0  1  2
0  0  1  1 |  *  *  *  *  *  * 20  * |  0  0 0  0  0  0  0  1  1  1 0 | 0  0 1  0  0  2
0  0  0  2 |  *  *  *  *  *  *  * 10 |  0  0 0  0  0  0  0  1  0  1 1 | 0  0 2  0  0  1
-----------+-------------------------+--------------------------------+----------------
1  2  0  0 |  2  1  0  0  0  0  0  0 | 10  * *  *  *  *  *  *  *  * * | 1  1 0  0  0  0
1  2  0  0 |  2  0  1  0  0  0  0  0 |  * 10 *  *  *  *  *  *  *  * * | 0  2 0  0  0  0
0  5  0  0 |  0  5  0  0  0  0  0  0 |  *  * 2  *  *  *  *  *  *  * * | 1  0 1  0  0  0
0  3  0  0 |  0  1  2  0  0  0  0  0 |  *  * * 10  *  *  *  *  *  * * | 0  1 0  1  0  0
0  2  1  0 |  0  1  0  2  0  0  0  0 |  *  * *  * 10  *  *  *  *  * * | 0  0 1  1  0  0
0  2  1  0 |  0  0  1  1  1  0  0  0 |  *  * *  *  * 20  *  *  *  * * | 0  0 0  1  1  0
0  1  2  0 |  0  0  0  1  1  1  0  0 |  *  * *  *  *  * 20  *  *  * * | 0  0 0  0  1  1
0  1  2  2 |  0  0  0  2  0  0  2  1 |  *  * *  *  *  *  * 10  *  * * | 0  0 1  0  0  1
0  0  2  1 |  0  0  0  0  0  1  2  0 |  *  * *  *  *  *  *  * 10  * * | 0  0 0  0  0  2
0  0  1  2 |  0  0  0  0  0  0  2  1 |  *  * *  *  *  *  *  *  * 10 * | 0  0 1  0  0  1
0  0  0 10 |  0  0  0  0  0  0  0 10 |  *  * *  *  *  *  *  *  *  * 1 | 0  0 2  0  0  0
-----------+-------------------------+--------------------------------+----------------
1  5  0  0 |  5  5  0  0  0  0  0  0 |  5  0 1  0  0  0  0  0  0  0 0 | 2  * *  *  *  *  peppy
1  3  0  0 |  3  1  2  0  0  0  0  0 |  1  2 0  1  0  0  0  0  0  0 0 | * 10 *  *  *  *  tet
0  5  5 10 |  0  5  0 10  0  0 10 10 |  0  0 1  0  5  0  0  5  0  5 1 | *  * 2  *  *  *  pero
0  3  1  0 |  0  1  2  2  1  0  0  0 |  0  0 0  1  1  2  0  0  0  0 0 | *  * * 10  *  *  tet
0  2  2  0 |  0  0  1  2  2  1  0  0 |  0  0 0  0  0  2  2  0  0  0 0 | *  * *  * 10  *  tet
0  1  3  2 |  0  0  0  2  1  2  4  1 |  0  0 0  0  0  0  2  1  2  1 0 | *  * *  *  * 10  peppy

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