Acronym ...
Name x3β5o (?)
Circumradius sqrt[(29+9 sqrt(5))/8] = 2.478019
Vertex figure [5/2,4,3,3,4]
Snub derivation
Face vector 60, 150, 62

No uniform realisation is possible.


Incidence matrix according to Dynkin symbol

x3β5o

both( . . . ) | 60 |  1  2  2 |  2  1  2
--------------+----+----------+---------
both( x . . ) |  2 | 30  *  * |  2  0  0  x
sefa( x3β . ) |  2 |  * 60  * |  1  0  1  u
sefa( . β5o ) |  2 |  *  * 60 |  0  1  1  f
--------------+----+----------+---------
      x3β .     6 |  3  3  0 | 20  *  *
      . β5o     5 |  0  0  5 |  * 12  *
sefa( x3β5o ) |  4 |  0  2  2 |  *  * 30

starting figure: x3x5o

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