Wikipedia Talk:Aperiodic tiling Help rewrite The third and fourth facts, which are proved in Gruenbaum and Shephard and asserted in the Martin Gardner columns, contradicts several statements about periodicity in the article. But I haven't time to edit it now. I hope these concepts will help whoever does work with the article, and that they look up the extent to which these apply to Amman and other aperiodic tilings. -Dan Hoey 01:27, 24 April 2007 (UTC)