Acronym ...
Name β3x5β (?)
Circumradius sqrt[31+12 sqrt(5)]/2 = 3.802395
Vertex figure [6/2,4,4,10/2]
Snub derivation
Face vector 120, 240, 92

No uniform realisation is possible. It occurs as faceting of the great rhombicosidodecahedron (grid).


Incidence matrix according to Dynkin symbol

β3x5β

both( . . . ) | 120 |  1  1  1  1 |  1  1  2
--------------+-----+-------------+---------
both( . x . ) |   2 | 60  *  *  * |  1  1  0  x
both( s 2 s ) |   2 |  * 60  *  * |  0  0  2  q
sefa( β3x . ) |   2 |  *  * 60  * |  1  0  1  u
sefa( . x5β ) |   2 |  *  *  * 60 |  0  1  1  F
--------------+-----+-------------+---------
      β3x .      6 |  3  0  3  0 | 20  *  *
      . x5β     10 |  5  0  0  5 |  * 12  *
sefa( β3x5β ) |   4 |  0  2  1  1 |  *  * 60

starting figure: x3x5x

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