Acronym ...
Name 2gid (?)
Circumradius (sqrt(5)-1)/2 = 0.618034
Vertex figure 2[(10/4,3)2] (type A) or
2[(5/2,6/2)2] (type B)
General of army id
Colonel of regiment gid
Confer
non-Grünbaumian master:
gid  

Looks like a compound of 2 great icosidodecahedra (gid), and indeed vertices, edges, and either {3} (type A) or {5/2} (type B) all coincide by pairs.


Incidence matrix according to Dynkin symbol

x5/4x3o3*a (type A)

.   . .    | 60 |  2  2 |  2  1  1
-----------+----+-------+---------
x   . .    |  2 | 60  * |  1  1  0
.   x .    |  2 |  * 60 |  1  0  1
-----------+----+-------+---------
x5/4x .    | 10 |  5  5 | 12  *  *
x   . o3*a |  3 |  3  0 |  * 20  *
.   x3o    |  3 |  0  3 |  *  * 20

x3/2x5/2o5/2*a (type B)

.   .   .      | 60 |  2  2 |  2  1  1
---------------+----+-------+---------
x   .   .      |  2 | 60  * |  1  1  0
.   x   .      |  2 |  * 60 |  1  0  1
---------------+----+-------+---------
x3/2x   .      |  6 |  3  3 | 20  *  *
x   .   o5/2*a |  5 |  5  0 |  * 12  *
.   x5/2o      |  5 |  0  5 |  *  * 12

x3/2x5/3o5/3*a (type B)

.   .   .      | 60 |  2  2 |  2  1  1
---------------+----+-------+---------
x   .   .      |  2 | 60  * |  1  1  0
.   x   .      |  2 |  * 60 |  1  0  1
---------------+----+-------+---------
x3/2x   .      |  6 |  3  3 | 20  *  *
x   .   o5/3*a |  5 |  5  0 |  * 12  *
.   x5/3o      |  5 |  0  5 |  *  * 12

x5/4x3/2o3/2*a (type A)

.   .   .      | 60 |  2  2 |  2  1  1
---------------+----+-------+---------
x   .   .      |  2 | 60  * |  1  1  0
.   x   .      |  2 |  * 60 |  1  0  1
---------------+----+-------+---------
x5/4x   .      | 10 |  5  5 | 12  *  *
x   .   o3/2*a |  3 |  3  0 |  * 20  *
.   x3/2o      |  3 |  0  3 |  *  * 20

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