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Seems to me there ought to be (at least) one more hyperbolic family: [4,31,1,1]. —Tamfang (talk) 02:31, 27 July 2010 (UTC)[reply]
By [James E. Humphreys, Reflection Groups and Coxeter Groups, Cambridge studies in advanced mathematics, 29 (1990), p142] book, there are 9 noncompact (nonfinite facets or verf?) hyperbolic Coxeter Groups, including [4,31,1,1]. Tom Ruen (talk) 03:30, 27 July 2010 (UTC)[reply]
Having looked at my notes (which are in the TV room), I was about to say that, except for the citation part. ;) Glad to know I found 'em all. —Tamfang (talk) 03:33, 27 July 2010 (UTC)[reply]
Hurray! Very glad for your eagle eyes! Tom Ruen (talk) 03:59, 27 July 2010 (UTC)[reply]
little booboo
The CD for honeycomb #136 is (in effect) the same as for #135. —Tamfang (talk) 17:37, 27 July 2010 (UTC)[reply]