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5 circles in a hexagon. (Posted on 2018-11-25) Difficulty: 5 of 5
Pack five unit circles in the smallest regular hexagon possible.

The exact solution for the smallest possible side length of the hexagon is given by the largest real root of a fourth degree polynomial:

P(x)=ax4+b√(3)x3+cx2+d√(3)x+e

Where a,b,c,d,e are integers. Find them.

No Solution Yet Submitted by Jer    
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Comments: ( Back to comment list | You must be logged in to post comments.)
re(3): soln | Comment 8 of 9 |
(In reply to re(2): soln by Steven Lord)

Yes, the figure is good.  The one named "here" doesn't work.
  Posted by Jer on 2018-11-30 18:23:58

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