I've a black circle of radius 5.
I wish to create 5 identical white circles of some lesser radius, which I will place on top of the black circle and completely obscure (cover) the black circle.
What is the smallest radius which I can make the smaller circles and still meet my requirement?
(In reply to
by )
What I said was "the radius ratio of .609383:1 is given as optimal whereas the pentagon approach gives .618034:1." And, yes, .618034.. is the reciprocal of phi which not too surprisingly arises in the symmetrical case where a regular pentagon is involved.
The .609383 optimal case is not symmetrical, and the documented solutions where it is found are messy to say the least  so messy, in fact, that they raise the difficulty level to 4+ if not indeed to 5, IMHO. Good luck all (Jer especially) in your attempts to nail down the .609383 on your own.

Posted by Richard
on 20041019 06:22:02 