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Article #175

other iterations

#175
From: Andrew V. Royappa
Date: Fri, 16 Oct 1992 18:29
32 lines
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Hi, I was curious about generating fractal images with other iterations
than z = z^2 + c. Once you have the source to a fractal program it's
easy to change the computation inside the inner loop to be whatever
you want. So far I have tried
	
		z = z^3 + c
		z = exp(z)+c

(if you think the usual iteration is slow, wait till you try the
exponential one...)

The first one gives a mandelbrot-like set, while with the second the
only interesting portion seems to be a tendril-like (spiral) structure.

So my questions are: 

a) what other kinds of iterations generate particularly interesting images ?
b) is there some other "interesting" area of the exponential iteration
   other than the tendril ?

I don't have any books on fractals; but I'm maybe our library does. Do
the books discuss other iterations in much detail ?
 
Thanks for any advice/discussion.


					Andrew V. Royappa
					avr@purdue.edu
					{pur-ee,decvax,ucbvax}!purdue!avr

p.s. Incidentally, all this is originated out of sheer (idle) curiosity, not
because of some potentially useful research that I'm doing. Sorry.
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Path: arc1-ca.pugleaf.net!sparky!uunet!think.com!ames!purdue!avr
From: avr@cs.purdue.EDU (Andrew V. Royappa)
Newsgroups: sci.fractals
Subject: other iterations
Message-ID: <19980@ector.cs.purdue.edu>
Date: 16 Oct 92 18:29:27 GMT
Sender: news@cs.purdue.EDU
Organization: Department of Computer Science, Purdue University
Lines: 32