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 nonoverlapping 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.)
unit circle
squares radius
3 5/8
4 1
5 1
6 17/16 *
7 SQRT(5)/2
8 5/4
9 3/2
*confirmed with the help of the Circle Calculator I found at the following link: http://www.1728.com/circsect.htm
I used the following unit square layouts to help determine the radius sizes. Where n=5, it mattered not where the fifth square was placed. The orientation, of course, also does not matter.
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Edited on June 23, 2006, 7:52 am

Posted by Dej Mar
on 20060623 07:51:46 