Acronym ...
Name diminished 1/10-luna of hexacosachoron
 
 ©
Circumradius (1+sqrt(5))/2 = 1.618034
Lace city
in approx. ASCII-art
            o5x		(A)
               
x5o            
               
            f5o		(B)
     o5f       
               
               
               
               
            x5x		(C)
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 pap and tet:   arccos[-sqrt(5/8)] = 142.238756°
  • 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 pero and tet:   arccos[(3-sqrt(5))/sqrt(32)] = 82.238756°
  • at {5} between pap and pero:   72°
  • at {3} between peppy and pero:   60°
  • at {10} between pero and pero:   36°
Face vector 30, 90, 93, 33
Confer
uniform relative:
ex  
related CRFs:
1/10-luna of ex  
general polytopal classes:
luna  

Incidence matrix

10  *  * |  2  2  2  1  0  0  0 | 1  3  2  4  2  1  0  0 0 | 1 1  3  2  1  (A)
 * 10  * |  0  0  2  1  2  2  0 | 0  0  1  2  4  2  2  1 0 | 0 1  1  2  3  (B)
 *  * 10 |  0  0  0  0  0  2  2 | 0  0  0  0  0  2  1  2 1 | 0 2  0  0  2  (C)
---------+----------------------+--------------------------+-------------
 2  0  0 | 10  *  *  *  *  *  * | 1  1  1  0  0  0  0  0 0 | 1 1  1  0  0  para
 2  0  0 |  * 10  *  *  *  *  * | 0  2  0  2  0  0  0  0 0 | 1 0  2  1  0  ortho
 1  1  0 |  *  * 20  *  *  *  * | 0  0  1  1  1  1  0  0 0 | 0 1  1  1  1  para
 1  1  0 |  *  *  * 10  *  *  * | 0  0  0  2  2  0  0  0 0 | 0 0  1  2  1  ortho
 0  2  0 |  *  *  *  * 10  *  * | 0  0  0  0  2  0  1  0 0 | 0 0  0  1  2
 0  1  1 |  *  *  *  *  * 20  * | 0  0  0  0  0  1  1  1 0 | 0 1  0  0  2
 0  0  2 |  *  *  *  *  *  * 10 | 0  0  0  0  0  1  0  1 1 | 0 2  0  0  1
---------+----------------------+--------------------------+-------------
 5  0  0 |  5  0  0  0  0  0  0 | 2  *  *  *  *  *  *  * * | 1 1  0  0  0
 3  0  0 |  1  2  0  0  0  0  0 | * 10  *  *  *  *  *  * * | 1 0  1  0  0
 2  1  0 |  1  0  2  0  0  0  0 | *  * 10  *  *  *  *  * * | 0 1  1  0  0
 2  1  0 |  0  1  1  1  0  0  0 | *  *  * 20  *  *  *  * * | 0 0  1  1  0
 1  2  0 |  0  0  1  1  1  0  0 | *  *  *  * 20  *  *  * * | 0 0  0  1  1
 1  2  2 |  0  0  2  0  0  2  1 | *  *  *  *  * 10  *  * * | 0 1  0  0  1
 0  2  1 |  0  0  0  0  1  2  0 | *  *  *  *  *  * 10  * * | 0 0  0  0  2
 0  1  2 |  0  0  0  0  0  2  1 | *  *  *  *  *  *  * 10 * | 0 1  0  0  1
 0  0 10 |  0  0  0  0  0  0 10 | *  *  *  *  *  *  *  * 1 | 0 2  0  0  0
---------+----------------------+--------------------------+-------------
10  0  0 | 10 10  0  0  0  0  0 | 2 10  0  0  0  0  0  0 0 | 1 *  *  *  *  pap (gray)
 5  5 10 |  5  0 10  0  0 10 10 | 1  0  5  0  0  5  0  5 1 | * 2  *  *  *  pero (green)
 3  1  0 |  1  2  2  1  0  0  0 | 0  1  1  2  0  0  0  0 0 | * * 10  *  *  tet (blue)
 2  2  0 |  0  1  2  2  1  0  0 | 0  0  0  2  2  0  0  0 0 | * *  * 10  *  tet (purple)
 1  3  2 |  0  0  2  1  2  4  1 | 0  0  0  0  2  1  2  1 0 | * *  *  * 10  peppy (yellow)

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