rwg>BtW, the mnemonic "1,4" encodes a seed configuration from which the entire
solution follows almost immediately. Veit Elser> Since fourteen is the first number where symmetry is completely> broken,
(http://pratikpoddarcse.blogspot.com/2010/05/veit-elsers-formidable-14.html)
ve> that would make it my favorite number.
My place of work was founded on a principle expressed in fourteen> words.>> Veit>> On Jun 1, 2011, at 5:30 AM, Bill Gosper wrote:>>> Veit>>>> Is your five disk packing of the unit disk maximizing sum(radii)>>>> (http://gosper.org/HTMLFiles/5disks.gif) an example of either of>>>> these asymmetries? How about your semisecret fourteen disk solution,>>>> which has no symmetry at all? (http://milou.msc.cornell.edu/images/>>>> seems to be down.)>>>> --rwg
Whoa, what about twelve? http://gosper.org/HTMLFiles/12disks.gif I thought this was the "six dimes and three quarters around three nickels" I Mobius-transformed to make Twubblesome Twelve, but it seems to have been Mobius transformed already! It appears to retain bilateral symmetry, and the transformation should be described by a single real parameter. If I can reconstruct my "six dimes" formulae, it should become a Calculus I problem with an exact algebraic solution. --rwg