User:Prokofiev
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Alexis Monnerot-Dumaine[edit]
From Paris (France). Engineer in computer engineering and mathematician.
Working on articles about fractal geometry.
Several contributions in the english and french wikipedias, mainly [List of fractals by Hausdorff dimension].
And a category in Commons: Fibonacci word fractal
See also my mineral contributions.
Image Contributions[edit]
Most of these images were designed to illustrate the english and french Wikipedia articles dealing about fractal geometry.
1. Fractal patterns[edit]
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2D Cantor set
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Apollonian gaskett
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5 circles inversion fractal
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Box fractal
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Quadratic Koch curve (type1)
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Quadratic Koch curve (type2)
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Pascal triangle modulo 3
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Pascal triangle modulo 5
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Hexaflake
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Koch curve 85 degrees. Cesaro fractal
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3D Cantor dust
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Sierpinski hexagon
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Sierpinski tetraedron
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H-fractal
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Quadratic Koch curve 3D (type1)
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Quadratic Koch curve 3D (type2)
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Dodecaedron fractal
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Icosaedron fractal
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Octaedron fractal
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Apollonian spheres packing
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3-dimensional Hilbert curve
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Logistic map bifurcation diagram
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3-branches tree (90°)
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3-branches tree (60°)
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3-dimensional Greek cross
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Koch surface
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Pinwheel fractal
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Percolation front (at the percolation threshold)
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Self-avoiding random walk
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2D Diffusion-limited aggregation
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Percolation cluster(just below threshold)
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Brownian motion
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Brownian motion
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Julia set z²+1/4
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Julia set z²-1
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Douady rabbit
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Dendrite Julia set
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real numbers with even digits
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Von Koch curve with random orientation
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Von Koch curve with random interval
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Fractal percolation p=75%
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Brownian surface
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Weierstrass function
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IFS 3 ratios
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Takagi or blancmange curve
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Self-affine fractal set
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A random Cantor set
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Newton fractal
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Secant fractal
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Secant method applied to
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Halley method applied to
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Householder method applied to
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Newton method applied to
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The Rauzy fractal
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A golden dragon.
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A Fractal tree created by B. Mandelbrot.
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A Fractal tree created by B. Mandelbrot.
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A Fractal tree created by B. Mandelbrot.
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Cartesian product of two fractals.
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Twindragon fractal.
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Tame twindragon fractal.
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Ikeda attractor.
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Mandebrot set embedded in cos(z)+c.
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Mandebrot set embedded in gaussian exp(-z^2)+c.
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Construction of the Rauzy fractal
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Variant of the Rauzy fractal.
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Variant of the Rauzy fractal.
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Variant of the Rauzy fractal.
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Variant of the Rauzy fractal.
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Boundary of the T-Square fractal.
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Hausdorff dimension of the coast of Great Britain.
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Box-counting dimension of the coast of Great Britain.
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3 different coverings of the coast of Great Britain.
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A paradoxal Koch curve.
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Fractal heptahedron.
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Fractal pyramid.
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Jerusalem cube.
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3D diffusion-limited aggregation]]
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2. 3-dimensional fractals[edit]
3 dimensional fractal patterns : Mandelbrot, Mandelbulb, 3D IFS... Mainly generated with Mandelbulber
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Mandelbulb power 8
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Mandelbulb power 8 (cross section)
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Mandelbulb power 2
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Fractal Tetraedron.
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Fractal Tetraedron with spherical folding.
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Fractal Dodecaedron.
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Fractal Icosaedron.
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Hypercomplex 3D mandelbrot set (section).
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Quaternion Julia set "Douady rabbit".
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Quaternion Julia set c=-1 "San Marco".
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Quaternion Julia set c=i "Dendrite".
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Quaternion Julia set c=-0,75-0,14i.
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Quaternion Julia set c=-0,75-0,14i (cross-section XZ).
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Standard Mandelbox.
3. The Fibonacci word fractal[edit]
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Fibonacci word fractal
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First iterations
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Inverted Fibonacci word fractal
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Fibonacci fractal self-similarities
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60° fibonacci word fractal
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Construction of the Fibonacci word fractal
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Construction of the Fibonacci word fractal
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Construction based on octogons.
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Fibonacci word cutting sequence - sturmian word
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The Fibonacci word gasket
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The Fibonacci word fractal
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The Fibonacci word fractal (compact variant)
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The Fibonacci word fractal (zvastika variant)
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The Fibonacci word fractal (diagonal variant)
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The Fibonacci word fractal (pi/8 variant)
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The 3 types of Fibonacci word fractals
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IFS for the Fibonacci word fractal
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Fibonacci numbers in the Fibonacci word Fractal
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Variants of the FWF
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Dimensions of the FWF
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Alternative construction of the FWF
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Alternative construction of the FWF
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Tiling of the plane by Fibonacci tiles
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Tiling built from the Fibonacci word fractal
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Area of the Fibonacci tile
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Tiling built from a variant of the Fibonacci word fractal
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Tiling built from the svastika variant of the Fibonacci word fractal
4. Heighway's dragon curve[edit]
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Boundary of the Dragon curve
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Dragon curve
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Dragon curve tiling
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Dragon curve tiling
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Dragon curve tiling
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Dragon curve tiling
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Dragon curve tiling
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Dragon curve tiling
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Dragon curve tiling
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Dragon curve tiling
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Dragon curve tiling
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Dragon curve tiling
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Dragon curve tiling
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Dragon curve iterations
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Dragon curve dimensions
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5. Other stuff[edit]
Artistic views, lanscapes generated from main fractals, and other unsorted stuff
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Mandelbrot set island
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Julia set island
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Magnet Julia set landscape
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Flames on a Mandelbrot set
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Mandelbrot river
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Mandelbrot set island
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One iteration of the Inverse Julia transform
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7 iterations of the Inverse Julia transform
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Samuel Monnier's artistic view of the Fibonacci word fractal
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Samuel Monnier's artistic view of the Fibonacci word fractal (detail)
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Samuel Monnier's artistic view of the Fibonacci word fractal
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Samuel Monnier's artistic view. Detail on a snowflake.
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Flames on a Mandelbrot set
