Acronym ...
Name hyperbolic x5/2o5o4o honeycomb
Circumradius (sqrt(5)-1)/sqrt(8) = 0.437016
Vertex figure peat

Incidence matrix according to Dynkin symbol

x5/2o5o4o   (N,M → ∞)

.   . . . | 6N    5M |  10M |  4M
----------+----+------+------+----
x   . . . |  2 | 15NM |    4 |   4
----------+----+------+------+----
x5/2o . . |  5 |    5 | 12NM |   2
----------+----+------+------+----
x5/2o5o .  12 |   30 |   12 | 2NM

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