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Can we find embedded instances of the order-∞ triangular tiling in this honeycomb? This seems like it ought to be possible — we can after all definitely find an infinite sequence of triangular faces around any one vertex. The vertex figure is simple though, so these sequences have to zigzag somewhat, which may make it impossible to extend this set of triangles into an equivalent of {3,∞}. --Trɔpʏliʊm • blah 11:54, 28 March 2018 (UTC)