Wikibooks

Fractals/Esher like tilings

< Fractals


name

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  • name is misleading because there is no tiling here ( no tiles)
  • nam comes from the book The Science of fractal images by Heinz-Otto Peitgen, Dietmar Saupe, Springer (page 187 )[1]

algorithm

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Escher like tilings is a modification of the level set method ( LSM/J). Here Level sets of escape time are different because targest set is different. Here target set is a scalled filled-in Julia set.

For more description see

  • Fractint : escher_julia
  • page 187 from The Science of fractal images by Heinz-Otto Peitgen, Dietmar Saupe, Springer [2]




Images

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  •  
    Basilica
  •  
    c = -1.24
  •  
    Douady Rabbit


References

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  1. ↑ {Peitgen, H.O. and Fisher, Y. and Saupe, D. and McGuire, M. and Voss, R.F. and Barnsley, M.F. and Devaney, R.L. and Mandelbrot, B.B.}, (2012). The Science of Fractal Images. Springer Science & Business Media, 2012. p. 187. ISBN 9781461237846.{{cite book}}: CS1 maint: extra punctuation (link) CS1 maint: multiple names: authors list (link)
  2. ↑ {Peitgen, H.O. and Fisher, Y. and Saupe, D. and McGuire, M. and Voss, R.F. and Barnsley, M.F. and Devaney, R.L. and Mandelbrot, B.B.}, (2012). The Science of Fractal Images. Springer Science & Business Media, 2012. p. 187. ISBN 9781461237846.{{cite book}}: CS1 maint: extra punctuation (link) CS1 maint: multiple names: authors list (link)
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