| Acronym | ... | 
| Name | 3gissid (?) | 
| Circumradius | (sqrt(5)-1) sqrt(3)/4 = 0.535233 | 
| Vertex figure | 3[5/2,10/4,10/4] | 
| General of army | doe | 
| Colonel of regiment | gissid | 
| Confer | 
	
  | 
Looks like a compound of 3 great stellated dodecahedra (gissid), and indeed vertices and edges both coincide by three, {5/2} and {10/4} coincide.
Incidence matrix according to Dynkin symbol
x5/4x5/2o . . . | 60 | 1 2 | 2 1 ----------+----+-------+------ x . . | 2 | 30 * | 2 0 . x . | 2 | * 60 | 1 1 ----------+----+-------+------ x5/4x . | 10 | 5 5 | 12 * . x5/2o | 5 | 0 5 | * 12
x5/4x5/3o . . . | 60 | 1 2 | 2 1 ----------+----+-------+------ x . . | 2 | 30 * | 2 0 . x . | 2 | * 60 | 1 1 ----------+----+-------+------ x5/4x . | 10 | 5 5 | 12 * . x5/3o | 5 | 0 5 | * 12
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