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 Tetration of complex bases to complex towers mike3 Long Time Fellow Posts: 368 Threads: 44 Joined: Sep 2009 11/03/2009, 08:52 AM (This post was last modified: 11/03/2009, 10:26 PM by mike3.) (11/03/2009, 08:00 AM)andydude Wrote: Yes. The coefficients from intuitive/natural iteration do not converge for base-i. Also, the coefficients from regular iteration do not converge for base (-3+4i). Neither of those look to be within the triangular or kidneybean region shown on the graph, however I was thinking of what happens if you tried one in the triangular region, but not in the kidneybean. Correction: base "i" is in the kidneybean, sorry. But it's not in the triangle, and base -3+4i is out in the left half-plane well away from either. « Next Oldest | Next Newest »

 Messages In This Thread Tetration of complex bases to complex towers - by mike3 - 10/26/2009, 03:29 AM RE: Tetration of complex bases to complex towers - by andydude - 10/29/2009, 05:48 AM RE: Tetration of complex bases to complex towers - by mike3 - 11/01/2009, 12:37 AM RE: Tetration of complex bases to complex towers - by andydude - 11/03/2009, 08:00 AM RE: Tetration of complex bases to complex towers - by mike3 - 11/03/2009, 08:52 AM RE: Tetration of complex bases to complex towers - by andydude - 11/04/2009, 03:01 AM RE: Tetration of complex bases to complex towers - by mike3 - 11/04/2009, 05:29 AM RE: Tetration of complex bases to complex towers - by andydude - 11/06/2009, 05:13 AM RE: Tetration of complex bases to complex towers - by mike3 - 11/06/2009, 08:46 AM

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