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Article #189Re: julia sets of c*e^z
From: Ken Shirriff
Date: Wed, 11 Nov 1992 19:52
Date: Wed, 11 Nov 1992 19:52
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In article <1992Nov11.182309.8811@mnemosyne.cs.du.edu> mccasal@nyx.cs.du.edu (Massimo Casal) writes: >when must i stop the iteration when i calculate the julia set of c*e^z? >when the real part is > value?or when the modulus is >value? The stopping limit for c*e^z is problematic, since an extremely large value of z can get mapped back to something small. The second problem is that your floating point can overflow very quickly. The usual stopping point is real part > large value (note: not abs(real part)), since this implies the next iteration will be extremely large. The disadvantage is that you will stop for some large values where you shouldn't. The visual appearance is that the many thin petals will suddenly clump together into one thick petal, when they should remain as thin petals. Ken Shirriff shirriff@sprite.Berkeley.EDU
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Path: arc1-ca.pugleaf.net!sparky!uunet!think.com!ames!agate!sprite.berkeley.edu!shirriff From: shirriff@sprite.berkeley.edu (Ken Shirriff) Newsgroups: sci.fractals Subject: Re: julia sets of c*e^z Date: 11 Nov 1992 19:52:12 GMT Organization: University of California, Berkeley Lines: 14 Message-ID: <1dro9cINN8rb@agate.berkeley.edu> References: <1992Nov11.182309.8811@mnemosyne.cs.du.edu> NNTP-Posting-Host: hijack.berkeley.edu