Polymorphous shapes for topological tastes

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Infer discreet gaussian distributions with ease

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Polynomial dimensions in an evolving manner

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Distribute derivates

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Analytical inference

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Fold Collapse

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Fractal probabilities

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Mandelbrot Fractal Sets

 

Non-analytic mappings

  • 3 sequence sets
  • Misiurewicz point
  • Double-spirals
  • Tricorn / Mandelbar fractal
  • Higher dimensions

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Ξ0.89

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Cardioid and Period bulbs

  • 3 sequence sets
  • Misiurewicz point
  • Double-spirals
  • Tricorn / Mandelbar fractal
  • Higher dimensions

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Ξ1.49

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Gilbreath permutation

  • 7 sequence sets
  • Misiurewicz point
  • Double-spirals
  • Tricorn / Mandelbar fractal
  • Higher dimensions

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Ξ1.99

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Query All Folds

Plotting algorithms for the Mandelbrot set

algo pic
Menger Sponge

Distance estimates

One can compute the distance from point c (in exterior or interior) to nearest point on the boundary of the Mandelbrot set.The proof of the connectedness of the Mandelbrot set in fact gives a formula for the uniformizing map of the complement of {\displaystyle M}M (and the derivative of this map).

algo pic
Pickover stalk

Biomorphs

Pickover stalks are certain kinds of details to be found empirically in the Mandelbrot set, in the study of fractal geometry.[1] They are so named after the researcher Clifford Pickover, whose "epsilon cross" method was instrumental in their discovery. An "epsilon cross" is a cross-shaped orbit trap..

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