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 Attempt to find a limit point but each step needs doubling the precision... tommy1729 Ultimate Fellow Posts: 1,493 Threads: 356 Joined: Feb 2009 11/04/2014, 12:33 AM (This post was last modified: 11/04/2014, 12:42 AM by tommy1729.) Perhaps a silly question but assuming Gottfried and Jay plot iterations of type sexp^[k](x) for x values near the real line ... Then why do these contours of iterations not intersect ? I mean why do we not get contours like here : http://math.eretrandre.org/tetrationforu...hp?tid=499 Afterall iterations of sqrt(2)^x are just as chaotic as those of exp(x) or not ? Or does this occur in the white space ? What happens to secondary and higher fixpoints ... are they the " cut-in's " of the white space / fractal / branch ? I note that b^x = b^(x+period) but I do not see that at the plots. My guess is it ( b^(x+period) is replaced by b^x + period , and this explains some missing contour intersections / merges / discontinuity. I think f ' (2) / f ' (4) is involved. EDIT : yes I understand the iterations are of IMAGINARY height and that PARTIALLY explains some things like the circle shapes and locally not intersecting ... but still. regards tommy1729 « Next Oldest | Next Newest »

 Messages In This Thread Attempt to find a limit point but each step needs doubling the precision... - by Gottfried - 11/03/2014, 12:17 PM RE: Attempt to find a limit point but each step needs doubling the precision... - by tommy1729 - 11/03/2014, 09:41 PM RE: Attempt to find a limit point but each step needs doubling the precision... - by Gottfried - 11/03/2014, 10:46 PM RE: Attempt to find a limit point but each step needs doubling the precision... - by tommy1729 - 11/04/2014, 12:07 AM RE: Attempt to find a limit point but each step needs doubling the precision... - by jaydfox - 11/03/2014, 11:40 PM RE: Attempt to find a limit point but each step needs doubling the precision... - by Gottfried - 11/04/2014, 12:01 PM RE: Attempt to find a limit point but each step needs doubling the precision... - by tommy1729 - 11/03/2014, 11:55 PM RE: Attempt to find a limit point but each step needs doubling the precision... - by tommy1729 - 11/04/2014, 12:33 AM RE: Attempt to find a limit point but each step needs doubling the precision... - by Gottfried - 11/04/2014, 05:12 AM RE: Attempt to find a limit point but each step needs doubling the precision... - by tommy1729 - 11/04/2014, 12:48 AM RE: Attempt to find a limit point but each step needs doubling the precision... - by Gottfried - 11/04/2014, 05:03 AM RE: Attempt to find a limit point but each step needs doubling the precision... - by tommy1729 - 11/04/2014, 09:39 AM RE: Attempt to find a limit point but each step needs doubling the precision... - by Gottfried - 11/04/2014, 04:59 PM RE: Attempt to find a limit point but each step needs doubling the precision... - by tommy1729 - 11/04/2014, 10:56 PM RE: Attempt to find a limit point but each step needs doubling the precision... - by tommy1729 - 11/08/2014, 09:49 AM RE: Attempt to find a limit point but each step needs doubling the precision... - by tommy1729 - 11/09/2014, 10:25 PM

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