quasi
Posts:
9,897
Registered:
7/15/05


Re: Easy problem without primes
Posted:
Dec 30, 2013 5:42 AM


quasi wrote: >quasi wrote: >>Peter Percival wrote: >>> >>>What is the biggest disk that can be covered by 13 unit disks? >> >>It's very easy to show 13 unit disks can cover a disk of radius >> >> 2*cos(Pi/13) >> >>but I suspect that's not best possible. > >Actually, I can already see what appears to be a better >arrangement. I haven't computed the radius coverable with the >new arrangement but I'm fairly sure it's bigger than what I >had previously.
Yes, definitely bigger.
A disk of radius r = 1 + sqrt(3) can be covered by 13 unit disks.
I _think_ that's best possible.
quasi

