Acronym ...
Name 2seihid (?)
Circumradius (1+sqrt(5))/2 = 1.618034
Vertex figure 2[3/2,10,3,10]
General of army id
Colonel of regiment id
Confer
non-Grünbaumian master:
seihid  
general polytopal classes:
Wythoffian polyhedra  

Looks like a compound of 2 small icosihemidodecahedron (seihid), and indeed vertices, edges and faces coincide by pairs.


Incidence matrix according to Dynkin symbol

x3/2o3x5*a

.   . .    | 60 |  2  2 |  1  2  1
-----------+----+-------+---------
x   . .    |  2 | 60  * |  1  1  0
.   . x    |  2 |  * 60 |  0  1  1
-----------+----+-------+---------
x3/2o .    |  3 |  3  0 | 20  *  *
x   . x5*a | 10 |  5  5 |  * 12  *
.   o3x    |  3 |  0  3 |  *  * 20

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