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 Spiral Numbers tommy1729 Ultimate Fellow Posts: 1,372 Threads: 336 Joined: Feb 2009 11/19/2015, 10:20 PM (This post was last modified: 11/20/2015, 12:57 PM by tommy1729.) Spiral Numbers The idea is simplest when thinking in terms of polar coordinates. For a,c > 0 and b,d real , the complex numbers satisfy (a,b) (c,d) = (ac , b + d mod 2 pi) The idea of spiral numbers is (a,b)(c,d) = (ac , b + d) So far for products. The sum for spiral numbers is defined by X + Y = ln( exp(X) exp(Y) ). So it comes down to finding a good ln and exp. My guess is exp(a,b) = ( exp(a + ab) , e b) Where |*| is the absolute value. And the ln is just the inverse. For X^Y we use exp( ln X * Y ). I wonder how the algebra works out. Is this a good idea ? I wonder what you think. Regards Tommy1729 « Next Oldest | Next Newest »

 Messages In This Thread Spiral Numbers - by tommy1729 - 11/19/2015, 10:20 PM RE: Spiral Numbers - by tommy1729 - 11/20/2015, 01:13 PM RE: Spiral Numbers - by tommy1729 - 02/29/2016, 10:56 PM RE: Spiral Numbers - by tommy1729 - 02/29/2016, 11:12 PM RE: Spiral Numbers - by marraco - 03/01/2016, 12:38 AM RE: Spiral Numbers - by Gottfried - 03/01/2016, 12:30 PM RE: Spiral Numbers - by tommy1729 - 03/01/2016, 01:27 PM RE: Spiral Numbers - by Gottfried - 03/01/2016, 04:16 PM RE: Spiral Numbers - by tommy1729 - 03/01/2016, 09:53 PM RE: Spiral Numbers - by tommy1729 - 03/01/2016, 10:15 PM

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