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

Mathematics desk
< May 10	<< Apr | May | Jun >>	May 12 >

Welcome to the Wikipedia Mathematics Reference Desk Archives
The page you are currently viewing is an archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages.

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)