Acronym fatfipte
Name faceted terifaceted hyperbolic order 5 pentachoric honeycomb
Circumradius sqrt[(1-sqrt(5))/8] = 0.393076 i
Dual o3o5o3o5/2x
Confer
general polytopal classes:
noble polytopes  

This non-convex hypercompact hyperbolic honeycomb can be obtained as a faceting of tifipte.


Incidence matrix according to Dynkin symbol

x3o5o3o5/2o   (N,M → ∞)

. . . .   . | NM   120 |   720 |  720 |  120
------------+----+------+-------+------+-----
x . . .   . |  2 | 60NM     12 |   30 |   20
------------+----+------+-------+------+-----
x3o . .   . |  3 |    3 | 240NM |    5 |    5
------------+----+------+-------+------+-----
x3o5o .   .  12 |   30 |    20 | 60NM |    2
------------+----+------+-------+------+-----
x3o5o3o   .   M |  10M |   10M |    M | 120N

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