George Duke wrote on Wed, Aug 12, 2009 07:38 PM UTC:
(1^3)+(2^3)+(3^3)+(4^3)=100 ////
Rich Hutnik says 1 1/2 yrs. ago this thread, ''My hope is cv community
picks stuff that works and keeps chaos essential.'' Easily said, and so
often expressed by the 3 or 4 prior cvpage generations too. Cvp member GM
Vukcevich, world-class scientist, is dead unable to complain about
commenting indirection. He's out of luck, so remaking the same point as at Nested Chess below (serendipity may be the rule not the exception), on an everyday hand calculator Mitchell Feigenbaum
http://www.mathworld.wolfram.com/FeigenbaumConstant.htm
discovered the major advance to that time in chaos theory, recursive regularity. Iterations and each generation of points packed ~2.5 times more densely. F's constants 4.6692... and 2.5029... That the shape of the curve does not matter:
parabola, sine, scaling factors for the onset of chaos, period doubling
attractors empirically discovered on a mere hand calculator: metrical
universality, 45-degree angles. Rubik's cube, soma cube, quadraphages,
sawtooth boards, tetrahedral-- all these taper between science and
recreational math. Sounds like science and religion, but that's history
and science won. Einstein may scoff at chess addiction of his mathematician friend GM Lasker, but divine Einstein happens to use the same pencil-and-paper technique in
theoretical physics. Who knows what remains to be discovered (or if
anything will be left since we hit 7 billion concentration in the one most dangerous species year 2011, I read the news today oh boy.)
http://www.grinningplanet.com/review-lyrics/beatles-a-day-in-the-life-lyrics.htm
