Tricorn (mathematics) | Wikipedia audio article
Channel: wikipedia tts
Date: 07/10/2019

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Tricorn_(mathematics)


00:00:19 1 Formal definition
00:00:58 2 Basic properties
00:01:18 3 Implementation
00:01:38 4 Further topological properties



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SUMMARY
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In mathematics, the tricorn, sometimes called the Mandelbar set, is a fractal defined in a similar way to the Mandelbrot set, but using the mapping 
  
    
      
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    {\displaystyle z\mapsto {\bar {z}}^{2}+c}
   instead of 
  
    
      
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    {\displaystyle z\mapsto z^{2}+c}
   used for the Mandelbrot set. It was introduced by W. D. Crowe, R. Hasson, P. J. Rippon, and P. E. D. Strain-Clark. John Milnor found tricorn-like sets as a prototypical configuration in the parameter space of real cubic polynomials, and in various other families of rational maps.The characteristic three-cornered shape created by this fractal repeats with variations at different scales, showing the same sort of self-similarity as the Mandelbrot set. In addition to smaller tricorns, smaller versions of the Mandelbrot set are also contained within the tricorn fractal.