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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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re(3): Picturing it..... | Comment 4 of 9 |
(In reply to re(2): Picturing it..... by Jer)

"the centers of the circles do not form a regular pentagon."

I'm very sorry to hear that.  Time to rethink my approach.

  Posted by xdog on 2018-11-26 08:33:12
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