[math-fun] Re; Does anybody know this fractal?
Tin Eye reverse image search didnt produce anything. It reminds me of 2 things; firstly , Moebius transformations; see http://www.youtube.com/watch?v=JX3VmDgiFnY secondly, there is a passing resemblance to a recursive graph, found in David Hofstaders Godel, Escher, Bach (pages 148-151) showing energy bands for electrons in an idealized crystal in a magnetic field, magnetic field strength, runs vertically from 0 to 1. Energy runs horizontally. The horizontal line segments are bands of allowed electron energies. Stuart Anderson
Message: 3 Date: Tue, 16 Oct 2012 12:18:12 -0700 From: Ray Tayek <rtayek@ca.rr.com> To: math-fun <math-fun@mailman.xmission.com> Subject: [math-fun] Does anybody know this fractal? Message-ID: <11.72.00773.EE2BD705@cdptpa-omtalb.mail.rr.com> Content-Type: text/plain; charset="us-ascii"; format=flowed
http://www.gibney.de/does_anybody_know_this_fractal
Experimenting with the "divisibility" of complex numbers, I stumbled across this thingy. It looks like a fractal. Although the formula does not do any iterations.
It reminds me of something. But I dont know what.
Is this some known structure? Or some variation of another mathematical object that has a name?
--- co-chair http://ocjug.org/
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Stuart Anderson