User talk:Trilelea/Paracompact uniform honeycombs with hyperbolic cells and/or vertex figures

Hi Trilelea, I'm curious where you get sources for this edit (that I reverted) . Is it from this paper by George Maxwell? (1981, 'Sphere Packings and Hyperbolic Reflection Groups') Tom Ruen (talk) 04:11, 17 June 2013 (UTC)[reply]

Reverted [1] And infintely many honeycombs with hyperbolic cells and/or vertex figures:{7,3,3}, {5,4,3}, {5,4,4}, {7,3,7}, etc.

Paper, page 91 [2] A graph with four vertices is of level 2 if and only if it contains no dotted edges and is not of level <=l, being strict if no edge is marked by ∞. For instance, the graph [∞^[3,3]] corresponds to the “Apollonian” packing of circles discussed in the Introduction.

p.s. It looks like perhaps the paper should be called Pseudosphere-packing rather than sphere packing? If so, then you can't really draw them (or identify them with honeycombs) in a "real" space, right? I added a paragraph at Coxeter-Dynkin_diagram#Lorentzian_groups. Tom Ruen (talk) 04:18, 17 June 2013 (UTC)[reply]