What is the “Thurston Model” of the Mandelbrot set

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I found this image on the wikipedia for the Mandelbrot set:
enter image description here
It's referred to as the "Thurston model of the Mandelbrot set," and no explanation is given. What is it?




complex-analysis dynamical-systems




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  • liverpool.ac.uk/~maryrees/homepagepapers/exallthesis-final.pdf might be of help.
    – Barry Cipra
    Jul 19 at 3:21














up vote
3
down vote

favorite












I found this image on the wikipedia for the Mandelbrot set:
enter image description here
It's referred to as the "Thurston model of the Mandelbrot set," and no explanation is given. What is it?




complex-analysis dynamical-systems




share|cite|improve this question



















  • liverpool.ac.uk/~maryrees/homepagepapers/exallthesis-final.pdf might be of help.
    – Barry Cipra
    Jul 19 at 3:21












up vote
3
down vote

favorite









up vote
3
down vote

favorite











I found this image on the wikipedia for the Mandelbrot set:
enter image description here
It's referred to as the "Thurston model of the Mandelbrot set," and no explanation is given. What is it?




complex-analysis dynamical-systems




share|cite|improve this question











I found this image on the wikipedia for the Mandelbrot set:
enter image description here
It's referred to as the "Thurston model of the Mandelbrot set," and no explanation is given. What is it?





complex-analysis dynamical-systems





share|cite|improve this question










share|cite|improve this question




share|cite|improve this question









asked Jul 19 at 0:43









Eben Cowley

252214




252214











  • liverpool.ac.uk/~maryrees/homepagepapers/exallthesis-final.pdf might be of help.
    – Barry Cipra
    Jul 19 at 3:21
















  • liverpool.ac.uk/~maryrees/homepagepapers/exallthesis-final.pdf might be of help.
    – Barry Cipra
    Jul 19 at 3:21















liverpool.ac.uk/~maryrees/homepagepapers/exallthesis-final.pdf might be of help.
– Barry Cipra
Jul 19 at 3:21




liverpool.ac.uk/~maryrees/homepagepapers/exallthesis-final.pdf might be of help.
– Barry Cipra
Jul 19 at 3:21










1 Answer
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A quite similar picture appears on page 168 of The Beauty of Fractals. I couldn't find the reference given in the caption. It's probably a credit to the author of the picture. For a brief explanation, see the relevant paragraph on page 167 given below.



page 168



enter image description here



page 167



enter image description here






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    1 Answer
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    active

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    1 Answer
    1






    active

    oldest

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    active

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    active

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    up vote
    1
    down vote



    accepted










    A quite similar picture appears on page 168 of The Beauty of Fractals. I couldn't find the reference given in the caption. It's probably a credit to the author of the picture. For a brief explanation, see the relevant paragraph on page 167 given below.



    page 168



    enter image description here



    page 167



    enter image description here






    share|cite|improve this answer



























      up vote
      1
      down vote



      accepted










      A quite similar picture appears on page 168 of The Beauty of Fractals. I couldn't find the reference given in the caption. It's probably a credit to the author of the picture. For a brief explanation, see the relevant paragraph on page 167 given below.



      page 168



      enter image description here



      page 167



      enter image description here






      share|cite|improve this answer

























        up vote
        1
        down vote



        accepted







        up vote
        1
        down vote



        accepted






        A quite similar picture appears on page 168 of The Beauty of Fractals. I couldn't find the reference given in the caption. It's probably a credit to the author of the picture. For a brief explanation, see the relevant paragraph on page 167 given below.



        page 168



        enter image description here



        page 167



        enter image description here






        share|cite|improve this answer















        A quite similar picture appears on page 168 of The Beauty of Fractals. I couldn't find the reference given in the caption. It's probably a credit to the author of the picture. For a brief explanation, see the relevant paragraph on page 167 given below.



        page 168



        enter image description here



        page 167



        enter image description here







        share|cite|improve this answer















        share|cite|improve this answer



        share|cite|improve this answer








        edited Jul 19 at 2:39


























        answered Jul 19 at 1:08









        lhf

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