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:
Where a,b,c,d,e are integers. Find them.
(In reply to re: Picturing it.....
Yes, I wanted you to see the picture. It was my starting point for the problem. Not at all a spoiler.
Note: the centers of the circles do not form a regular pentagon.
Posted by Jer
on 2018-11-25 17:56:48