In "Covering a circle" you were to cover a unit circle with 3 squares as small as possible.

I would like instead to cover a circle of maximum radius with n non-overlapping unit squares.

The n=3 problem is solved. Try 4, 5, 6, 7, and 8. (Feel free to keep going. I've done up to 36, but that's a bit excessive.)

For n=4,5,and 6 I get r=1. I can't seem to tesalate any improvements with 5 & 6.

For n=7 I get r=sqrt(5)/2

For n=8 I get r=5/4

For n=9 I get  r=3/2

Posted by Eric on 2006-06-20 17:45:35