Is There a Fractal Program for Mac That Can Generate Fractals from Drawings?

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SUMMARY

The discussion centers on the search for a fractal program compatible with Mac that can generate fractals based on user-drawn patterns. The user specifically inquires about software that can identify the most similar Julia set to a hand-drawn design. However, participants express skepticism about the feasibility of such a program, citing the inherent self-similarity of fractals, which complicates the measurement of similarity. Ultimately, no specific software solutions were identified, and the consensus leans towards the idea that this functionality may not exist.

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  • Understanding of fractal geometry and its properties
  • Familiarity with Julia sets and their mathematical foundations
  • Basic knowledge of graphic design tools for drawing
  • Awareness of fractal generation software options
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  • Research fractal generation software for Mac, such as Mandelbulb 3D or Apophysis
  • Explore the mathematical principles behind Julia sets and their applications
  • Investigate algorithms for measuring similarity in fractals
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Artists, mathematicians, and software developers interested in fractal generation and visualization, particularly those seeking to create or analyze fractals based on user input.

Svensken
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Hello!

I am currently looking for a fractal program for my mac, preferably with free download :)
I want to be able to draw a pattern and the program compares this to a fractal that it can generate (hope that makes sense). I mean that instead of entering the complex number in say a julia set, one can make a drawing and the computer will tell me the most similar julia set to what i have drawn. This might not exist, but if anyone of you guys/girls know of one it would be greatly appreciated!

p.s If you know a general fractal program that works well on mac, i would like to know.

Thank you for your time!
 
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Svensken said:
I mean that instead of entering the complex number in say a julia set, one can make a drawing and the computer will tell me the most similar julia set to what i have drawn. This might not exist, but if anyone of you guys/girls know of one it would be greatly appreciated!
I doubt it exists, and in fact it may be essentially impossible. Remember that fractals, by their nature, have very strong self-similarity at all scales. So any reasonable measure of similarity will not be differentiable or smooth at any scale regardless of how fine-grained you make your parameter space.
 
DaleSpam said:
I doubt it exists, and in fact it may be essentially impossible. Remember that fractals, by their nature, have very strong self-similarity at all scales. So any reasonable measure of similarity will not be differentiable or smooth at any scale regardless of how fine-grained you make your parameter space.

Hello, yes that is very true - didnt think of that. Thanks anyways
 

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