Acronym ...
Name hyperbolic x5o5o *b5/2o honeycomb
Circumradius sqrt[(1-sqrt(5))/8] = 0.393076 i

This non-convex hypercompact hyperbolic honeycomb can be obtained as a faceting of apech by replacing each ike by a vertex-inscribed gad. And the former vertex figure id becomes an f-scaled did. In fact the pentagons of those gads then combine into pepats, which get used here as additional bolocells.


Incidence matrix according to Dynkin symbol

x5o5o *b5/2o   (N,M → ∞)

. . .      . | NM    30 |   60 | 12 12
-------------+----+------+------+------
x . .      . |  2 | 15NM |    4 |  2  2
-------------+----+------+------+------
x5o .      . |  5 |    5 | 12NM |  1  1
-------------+----+------+------+------
x5o5o      .  2M |   5M |   2M | 6N  *
x5o . *b5/2o  12 |   30 |   12 |  * NM

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