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 Extension of tetration to other branches bo198214 Administrator Posts: 1,389 Threads: 90 Joined: Aug 2007 10/25/2009, 11:26 AM (10/25/2009, 09:33 AM)mike3 Wrote: I tried $[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, ...]$ (see the obvious pattern), $b = \sqrt{2}$ as the "infinite branch code". This seems to make it converge onto the constant function with everywhere-value ~9.21189016 + 3.20965748i. It seems any code will work. E.g. $[0, 1, 1, 1, 1, 1, 1, 1, ...]$ produces a different constant, ~9.09072986 + 3.37850978i. I am still not really familiar with those disconnected Riemann surfaces. Do these constants have a meaning without those limit formulas? Something path related, infinite paths, fractal paths? « Next Oldest | Next Newest »

 Messages In This Thread Extension of tetration to other branches - by mike3 - 10/24/2009, 08:27 AM RE: Extension of tetration to other branches - by bo198214 - 10/24/2009, 09:54 AM RE: Extension of tetration to other branches - by mike3 - 10/24/2009, 08:01 PM RE: Extension of tetration to other branches - by bo198214 - 10/24/2009, 08:13 PM RE: Extension of tetration to other branches - by mike3 - 10/25/2009, 02:14 AM RE: Extension of tetration to other branches - by bo198214 - 10/25/2009, 07:43 AM RE: Extension of tetration to other branches - by mike3 - 10/25/2009, 09:33 AM RE: Extension of tetration to other branches - by bo198214 - 10/25/2009, 11:26 AM RE: Extension of tetration to other branches - by mike3 - 10/25/2009, 08:47 PM RE: Extension of tetration to other branches - by bo198214 - 10/25/2009, 09:22 PM RE: Extension of tetration to other branches - by mike3 - 10/25/2009, 10:56 PM RE: Extension of tetration to other branches - by bo198214 - 10/26/2009, 04:28 AM RE: Extension of tetration to other branches - by mike3 - 10/26/2009, 04:41 AM RE: Extension of tetration to other branches - by bo198214 - 10/26/2009, 05:07 PM RE: Extension of tetration to other branches - by mike3 - 10/27/2009, 08:59 PM RE: Extension of tetration to other branches - by bo198214 - 10/28/2009, 07:42 AM

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