A 2 by X rectangle can obviously have 2*X circles of diameter 1 placed inside it without overlapping. What is the smallest integer X where a 2 by X box can have 2*X+1 non-overlapping circles placed inside it?

(In reply to Then again...on second thought by Caleb)

More precisely, I can fit an infinite number of non-overlapping circles into such a rectangle. It does give *that* as a requirement. :P

Posted by Caleb on 2017-05-23 01:04:26