Wikipedia:Reference desk/Archives/Mathematics/2016 May 11

= May 11 =

Maximum coverage of plane by identical regular polygons...
Looking for the maximum coverage of the plane by each regular identical N-polygon. For N=3,4,6 the answer is 1.00. For 8, I think it is the Truncated square tiling where the part covered = 2sqrt(2)-2. Any ideas on 5 ,7 and other numbers? The limit as N gets large is equal to the $$\eta_h = \frac{\pi}{2\sqrt{3}} \approx 0.9069.$$. Which is worst?Naraht (talk) 18:26, 11 May 2016 (UTC)


 * I suggest starting here and following the links backwards. (An earlier version of this post had a bunch of other links, but I think this is the best one and will answer most of your questions.) JBL (talk) 19:43, 11 May 2016 (UTC)