Acronym tagyrid, J74
Name trigyrated rhombicosidodecahedron
 
 © ©
Circumradius sqrt[sqrt(5)+11/4] = 2.232951
Vertex figures [3,4,4,5], [3,4,5,4]
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • between {3} and {4}:   arccos(-(1+sqrt(5))/sqrt(12)) = 159.094843°
  • between {3} and {5}:   arccos(-sqrt[(65-2 sqrt(5))/75]) = 153.942419°
  • between {4} and {4}:   arccos(-2/sqrt(5)) = 153.434949°
  • between {4} and {5}:   arccos(-sqrt[(5+sqrt(5))/10]) = 148.282526°
Confer
uniform relative:
srid  
related Johnson solids:
pecu   tedrid  
general polytopal classes:
Johnson solids  
External
links
wikipedia   mathworld

Incidence matrix

3 * * * * * * * * * * * | 2 2 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 0 
* 6 * * * * * * * * * * | 0 1 1 1 1 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 0 0 0 0 0 
* * 6 * * * * * * * * * | 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 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 
* * * 6 * * * * * * * * | 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 1 1 0 1 1 0 0 0 0 0 0 0 0 0 gc 
* * * * 6 * * * * * * * | 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 | 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 0 0 
* * * * * 6 * * * * * * | 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 1 1 0 1 1 0 0 0 0 0 0 gc 
* * * * * * 3 * * * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 | 0 0 0 0 0 0 0 1 0 0 2 1 0 0 0 0 0 gc 
* * * * * * * 6 * * * * | 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 1 1 1 0 1 0 0 0 0 
* * * * * * * * 6 * * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 | 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 
* * * * * * * * * 3 * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 | 0 0 0 0 0 0 0 0 1 0 0 0 2 0 1 0 0 
* * * * * * * * * * 6 * | 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 0 0 0 0 0 0 1 1 1 1 0 
* * * * * * * * * * * 3 | 0 0 0 0 0 0 0 0 0 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 1 0 2 1 
------------------------+-------------------------------------------------+----------------------------------
2 0 0 0 0 0 0 0 0 0 0 0 | 3 * * * * * * * * * * * * * * * * * * * * * * * | 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0 0 0 | * 6 * * * * * * * * * * * * * * * * * * * * * * | 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 0 0 0 0 0 0 0 0 0 0 | * * 3 * * * * * * * * * * * * * * * * * * * * * | 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 1 0 0 0 0 0 0 0 0 0 | * * * 6 * * * * * * * * * * * * * * * * * * * * | 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0
0 1 0 1 0 0 0 0 0 0 0 0 | * * * * 6 * * * * * * * * * * * * * * * * * * * | 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 gc
0 0 2 0 0 0 0 0 0 0 0 0 | * * * * * 3 * * * * * * * * * * * * * * * * * * | 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0
0 0 1 1 0 0 0 0 0 0 0 0 | * * * * * * 6 * * * * * * * * * * * * * * * * * | 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 gc
0 0 1 0 1 0 0 0 0 0 0 0 | * * * * * * * 6 * * * * * * * * * * * * * * * * | 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0
0 0 0 2 0 0 0 0 0 0 0 0 | * * * * * * * * 3 * * * * * * * * * * * * * * * | 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 gc
0 0 0 1 0 1 0 0 0 0 0 0 | * * * * * * * * * 6 * * * * * * * * * * * * * * | 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 gc
0 0 0 0 2 0 0 0 0 0 0 0 | * * * * * * * * * * 3 * * * * * * * * * * * * * | 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0
0 0 0 0 1 1 0 0 0 0 0 0 | * * * * * * * * * * * 6 * * * * * * * * * * * * | 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 gc
0 0 0 0 1 0 0 1 0 0 0 0 | * * * * * * * * * * * * 6 * * * * * * * * * * * | 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 0 0 | * * * * * * * * * * * * * 6 * * * * * * * * * * | 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 gc
0 0 0 0 0 1 0 1 0 0 0 0 | * * * * * * * * * * * * * * 6 * * * * * * * * * | 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 gc
0 0 0 0 0 0 1 0 1 0 0 0 | * * * * * * * * * * * * * * * 6 * * * * * * * * | 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 gc
0 0 0 0 0 0 0 1 1 0 0 0 | * * * * * * * * * * * * * * * * 6 * * * * * * * | 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0
0 0 0 0 0 0 0 1 0 1 0 0 | * * * * * * * * * * * * * * * * * 6 * * * * * * | 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0
0 0 0 0 0 0 0 0 2 0 0 0 | * * * * * * * * * * * * * * * * * * 3 * * * * * | 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0
0 0 0 0 0 0 0 0 1 0 1 0 | * * * * * * * * * * * * * * * * * * * 6 * * * * | 0 0 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 | * * * * * * * * * * * * * * * * * * * * 6 * * * | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0
0 0 0 0 0 0 0 0 0 0 2 0 | * * * * * * * * * * * * * * * * * * * * * 3 * * | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0
0 0 0 0 0 0 0 0 0 0 1 1 | * * * * * * * * * * * * * * * * * * * * * * 6 * | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0
0 0 0 0 0 0 0 0 0 0 0 2 | * * * * * * * * * * * * * * * * * * * * * * * 3 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1
------------------------+-------------------------------------------------+----------------------------------
3 0 0 0 0 0 0 0 0 0 0 0 | 3 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 | 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * 3 * * * * * * * * * * * * * * *
1 2 2 0 0 0 0 0 0 0 0 0 | 0 2 0 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * 3 * * * * * * * * * * * * * *
0 2 0 2 0 0 0 0 0 0 0 0 | 0 0 1 0 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * 3 * * * * * * * * * * * * * gc
0 1 1 1 0 0 0 0 0 0 0 0 | 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * 6 * * * * * * * * * * * * gc
0 0 2 0 2 0 0 0 0 0 0 0 | 0 0 0 0 0 1 0 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | * * * * * 3 * * * * * * * * * * *
0 0 1 1 1 1 0 0 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 0 0 0 | * * * * * * 6 * * * * * * * * * * gc
0 0 0 2 0 2 1 0 0 0 0 0 | 0 0 0 0 0 0 0 0 1 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 | * * * * * * * 3 * * * * * * * * * gc
0 0 0 0 2 0 0 2 0 1 0 0 | 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 2 0 0 0 0 0 0 | * * * * * * * * 3 * * * * * * * *
0 0 0 0 1 1 0 1 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 0 0 0 | * * * * * * * * * 6 * * * * * * * gc
0 0 0 0 0 1 1 1 1 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 | * * * * * * * * * * 6 * * * * * * gc
0 0 0 0 0 0 1 0 2 0 0 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 1 0 0 0 0 0 | * * * * * * * * * * * 3 * * * * * gc
0 0 0 0 0 0 0 1 1 1 1 0 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 | * * * * * * * * * * * * 6 * * * *
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 0 0 0 1 2 0 0 2 0 | * * * * * * * * * * * * * 3 * * *
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 2 1 0 0 | * * * * * * * * * * * * * * 3 * *
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 1 2 1 | * * * * * * * * * * * * * * * 3 *
0 0 0 0 0 0 0 0 0 0 0 3 | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 | * * * * * * * * * * * * * * * * 1

gc = belongs to gyrocap

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