| Acronym | ... | 
| Name | o3β5x (?) | 
| Circumradius | sqrt[(37+15 sqrt(5))/8] = 2.969449 | 
| Vertex figure | [3/2,4,10/2,10/2,4] | 
| Snub derivation / VRML | 
 | 
| Face vector | 60, 150, 62 | 
No uniform realisation is possible. It occurs as faceting of the truncated dodecahedron (tid).
Incidence matrix according to Dynkin symbol
o3β5x
both( . . . ) | 60 |  1  2  2 |  1  2  2
--------------+----+----------+---------
both( . . x ) |  2 | 30  *  * |  0  2  0  x
sefa( o3β . ) |  2 |  * 60  * |  1  0  1  x
sefa( . β5x ) |  2 |  *  * 60 |  0  1  1  F
--------------+----+----------+---------
      o3β .   ♦  3 |  0  3  0 | 20  *  *
      . β5x   ♦ 10 |  5  0  5 |  * 12  *
sefa( o3β5x ) |  4 |  0  2  2 |  *  * 30
starting figure: o3x5x
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