Enter Your Reply The Comment You're Replying To 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 Edit Form You may not post a new comment, because ItemID GM_Vukcevich does not match any item.