I've downloaded the pdf form of the book differential equations on fractals. A cursory glance indicates that there is some abstraction present ; not at all like the simple and intuitive equations of chaos. I'm surprised that more authors haven't attempted to bridge the divide between the analytical camp and the fractal camp. Especially when you consider the potential advances that might ensue in the former. A few decades ago I attended a brief presentation given by Vaughn.Jones , on the topic of Knot Theory ; he said that he wasn't very impressed by Chaos and Fractals. Just a few days ago I notice a website delving into the relationship between knots and fractals. As to the texts that I have about fractals , The Beauty of Fractals , Multifractals and 1/f noise , an earlier text that discusses fractals from a geometrical stance and mentions Hausdorf dimension in the context of the discrete fourier transform. Also decades ago , I implemented fractal type clouds using 2d ffts , the parameter I varied was H. I haven't had the opportunity to explore multifractals , these appear to be the next step beyond your common garden variety fractal. Which reminds me , I also have a video tape that accompanied the Beauty of Fractals text therein B.Mandelbrot discusses cauliflowers. Have you come across any text that explains the Mandelbulber software , with information about the 3d graphics used. sciwise On 06/05/2016 07:19, Jovan Trujillo wrote:
I'm looking at my bookshelf and admiring my small collection of fractal literature. I was wondering what other people have on their shelf. Here's part of my list:
1. Fractals, Visualization, and J by Clifford A. Reiter
Use the J programming language to learn about fractal geometry and generating graphics. I think the last chapter covers image compression and restoration using fractal math.
2. Chaos and Fractals by
Peitgen, Jürgens, and Saupe
Big fat book, my bible of fractal
lore. I love that each chapter ends with a QBasic program!
3.
Genesis Redux by Edward Rietman
There is a chapter on L-systems and
their implications for artificial life. Great book with code samples in a variety of languages.
4. Differential Equations on Fractals by
Robert Strichartz
I've only covered chapter 1 and the math gets
intense rather quickly. Still not sure what this book is really about.
Sent from my iPhone
On May 5, 2016, at 11:00 AM, fractint-request@mailman.xmission.com [1] wrote: Send Fractint mailing list submissions to fractint@mailman.xmission.com [2] To subscribe or unsubscribe via the World Wide Web, visit https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint [3] or, via email, send a message with subject or body 'help' to fractint-request@mailman.xmission.com [4] You can reach the person managing the list at fractint-owner@mailman.xmission.com [5] When replying, please edit your Subject line so it is more specific than "Re: Contents of Fractint digest..." Today's Topics: 1. test from Jim Muth (Jim Muth)
Message: 1 Date: Thu, 5 May 2016 13:45:09 -0400 (GMT-04:00) From: Jim Muth To: fractint@mailman.xmission.com [7] Subject: [Fractint] test from Jim Muth Message-ID: Content-Type: text/plain; charset=UTF-8 Fractal fans: Paul's demise kind of took the wind out of my fractal sails, and I have been especially down because I was off the list at the time. But now I'm back, maybe with not so many fractals, but with a lot to say. If the list is still up and running, you'll be hearing from me quite often in the near furure, especially in the field of fractal philosophy. Now we'll see if this e-mail returns to me. Jim Muth ------------------------------ Subject: Digest Footer _______________________________________________ Fractint mailing list Fractint@mailman.xmission.com [9] https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint [10] ------------------------------ End of Fractint Digest, Vol 159, Issue 1 ****************************************
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