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Prokofiev

Joined 29 August 2006
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Le français est la langue maternelle de cette personne.
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Alexis Monnerot-DumaineEdit

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 ContributionsEdit

Most of these images were designed to illustrate the english and french Wikipedia articles dealing about fractal geometry.

1. Fractal patternsEdit

  • 2D Cantor set

  • Apollonian gaskett

  • 5 circles inversion fractal

  • Box fractal

  • Quadratic Koch curve (type1)

  • Quadratic Koch curve (type2)

  • Pascal triangle modulo 3

  • Pascal triangle modulo 5

  • Hexaflake

  • Koch curve 85 degrees. Cesaro fractal

  • 3D Cantor dust

  • Sierpinski hexagon

  • Sierpinski tetraedron

  • H-fractal

  • Quadratic Koch curve 3D (type1)

  • Quadratic Koch curve 3D (type2)

  • Dodecaedron fractal

  • Icosaedron fractal

  • Octaedron fractal

  • Apollonian spheres packing

  • 3-dimensional Hilbert curve

  • Logistic map bifurcation diagram

  • 3-branches tree (90°)

  • 3-branches tree (60°)

  • 3-dimensional Greek cross

  • Koch surface

  • Pinwheel fractal

  • Percolation front (at the percolation threshold)

  • Self-avoiding random walk

  • 2D Diffusion-limited aggregation

  • Percolation cluster(just below threshold)

  • Brownian motion

  • Brownian motion

  • Julia set z²+1/4

  • Julia set z²-1

  • Douady rabbit

  • Dendrite Julia set

  • real numbers with even digits

  • Von Koch curve with random orientation

  • Von Koch curve with random interval

  • Fractal percolation p=75%

  • Brownian surface

  • Weierstrass function

  • IFS 3 ratios

  • Takagi or blancmange curve

  • Self-affine fractal set

  • A random Cantor set

  • Newton fractal

  • Secant fractal

  • Secant method applied to  

  • Halley method applied to  

  • Householder method applied to  

  • Newton method applied to  

  • The Rauzy fractal

  • A golden dragon.

  • A Fractal tree created by B. Mandelbrot.

  • A Fractal tree created by B. Mandelbrot.

  • A Fractal tree created by B. Mandelbrot.

  • Cartesian product of two fractals.

  • Twindragon fractal.

  • Tame twindragon fractal.

  • Ikeda attractor.

  • Mandebrot set embedded in cos(z)+c.

  • Mandebrot set embedded in gaussian exp(-z^2)+c.

  • Construction of the Rauzy fractal

  • Variant of the Rauzy fractal.

  • Variant of the Rauzy fractal.

  • Variant of the Rauzy fractal.

  • Variant of the Rauzy fractal.

  • Boundary of the T-Square fractal.

  • Hausdorff dimension of the coast of Great Britain.

  • Box-counting dimension of the coast of Great Britain.

  • 3 different coverings of the coast of Great Britain.

  • A paradoxal Koch curve.

  • Fractal heptahedron.

  • Fractal pyramid.

  • Jerusalem cube.

  • 3D diffusion-limited aggregation]]

2. 3-dimensional fractalsEdit

3 dimensional fractal patterns : Mandelbrot, Mandelbulb, 3D IFS... Mainly generated with Mandelbulber

  • Mandelbulb power 8

  • Mandelbulb power 8 (cross section)

  • Mandelbulb power 2

  • Fractal Tetraedron.

  • Fractal Tetraedron with spherical folding.

  • Fractal Dodecaedron.

  • Fractal Icosaedron.

  • Hypercomplex 3D mandelbrot set (section).

  • Quaternion Julia set "Douady rabbit".

  • Quaternion Julia set c=-1 "San Marco".

  • Quaternion Julia set c=i "Dendrite".

  • Quaternion Julia set c=-0,75-0,14i.

  • Quaternion Julia set c=-0,75-0,14i (cross-section XZ).

  • Standard Mandelbox.

3. The Fibonacci word fractalEdit

  • Fibonacci word fractal

  • First iterations

  • Inverted Fibonacci word fractal

  • Fibonacci fractal self-similarities

  • 60° fibonacci word fractal

  • Construction of the Fibonacci word fractal

  • Construction of the Fibonacci word fractal

  • Construction based on octogons.

  • Fibonacci word cutting sequence - sturmian word

  • The Fibonacci word gasket

  • The Fibonacci word fractal

  • The Fibonacci word fractal (compact variant)

  • The Fibonacci word fractal (zvastika variant)

  • The Fibonacci word fractal (diagonal variant)

  • The Fibonacci word fractal (pi/8 variant)

  • The 3 types of Fibonacci word fractals

  • IFS for the Fibonacci word fractal

  • Fibonacci numbers in the Fibonacci word Fractal

  • Variants of the FWF

  • Dimensions of the FWF

  • Alternative construction of the FWF

  • Alternative construction of the FWF

  • Tiling of the plane by Fibonacci tiles

  • Tiling built from the Fibonacci word fractal

  • Area of the Fibonacci tile

  • Tiling built from a variant of the Fibonacci word fractal

  • Tiling built from the svastika variant of the Fibonacci word fractal

4. Heighway's dragon curveEdit

  • Boundary of the Dragon curve

  • Dragon curve

  • Dragon curve tiling

  • Dragon curve tiling

  • Dragon curve tiling

  • Dragon curve tiling

  • Dragon curve tiling

  • Dragon curve tiling

  • Dragon curve tiling

  • Dragon curve tiling

  • Dragon curve tiling

  • Dragon curve tiling

  • Dragon curve tiling

  • Dragon curve iterations

  • Dragon curve dimensions

5. Other stuffEdit

Artistic views, lanscapes generated from main fractals, and other unsorted stuff

  • Mandelbrot set island

  • Julia set island

  • Magnet Julia set landscape

  • Flames on a Mandelbrot set

  • Mandelbrot river

  • Mandelbrot set island

  • One iteration of the Inverse Julia transform

  • 7 iterations of the Inverse Julia transform

  • Samuel Monnier's artistic view of the Fibonacci word fractal

  • Samuel Monnier's artistic view of the Fibonacci word fractal (detail)

  • Samuel Monnier's artistic view of the Fibonacci word fractal

  • Samuel Monnier's artistic view. Detail on a snowflake.

  • Flames on a Mandelbrot set

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