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Add one more circle (Posted on 2017-05-21) Difficulty: 4 of 5
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?

No Solution Yet Submitted by Brian Smith    
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Stumped | Comment 1 of 5
I have played with this, and have not figured out how to fit more than 2*X circles in.  Hexagonal packing in a 2 by X rectangle seems to me to be less dense.  I will be very interested in the solution
  Posted by Steve Herman on 2017-05-21 20:57:38
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