* Bill Gosper <billgosper@gmail.com> [Dec 27. 2015 07:48]:
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Well 900K curves is pretty impressive,
However, these give only about 20000 shapes of curves, as more and more curves for high orders are of the same shape. I'll stop at two Giga-shapes(*). For that a completely new search method will be employed, hopefully started soon-ish by a brilliant student I talked to a week ago. The method should be faster by at least a factor 1000, and progressively more for high orders. (*) one shape for every second of a human life.
but how about a continuum of them?
Sorry, only discretuums on offer. A few from the constructions and a lot by the product mechanism. Could you look at my _division_ method in section 5.2? It appears that some people use something like it, but I have never seen it spelled out in any form. Many of the more curious curves by various authors are just special cases of this. Examples: http://www.tweedledum.com/rwg/semizerp.htm http://www.tweedledum.com/rwg/semizerp1.htm and (when done on tiles) http://www.tweedledum.com/rwg/frac5.htm Section 5.1 of course gives just the "folding product" as in Davis/Knuth and Dekking. Best regards, jj
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