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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]

2D Cantor set
Apollonian gaskett
$5 circles inversion fractal$

5 circles inversion fractal
$Box fractal$

Box fractal
Quadratic Koch curve (type1)
Quadratic Koch curve (type2)
Pascal triangle modulo 3
Pascal triangle modulo 5
Hexaflake
$Koch curve 85 degrees. Cesaro fractal$

Koch curve 85 degrees. Cesaro fractal
3D Cantor dust
Sierpinski hexagon
Sierpinski tetraedron
$H-fractal$

H-fractal
Quadratic Koch curve 3D (type1)
Quadratic Koch curve 3D (type2)
$Dodecaedron fractal$

Dodecaedron fractal
$Icosaedron fractal$

Icosaedron fractal
$Octaedron fractal$

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
$Pinwheel fractal$

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
$Self-affine fractal set$

Self-affine fractal set
A random Cantor set
$Newton fractal$

Newton fractal
$Secant fractal$

Secant fractal
Secant method applied to $z^{3}-1$
Halley method applied to $z^{3}-1$
Householder method applied to $z^{3}-1$
Newton method applied to $z^{3}-1$
$The Rauzy fractal$

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.
$Cartesian product of two fractals.$

Cartesian product of two fractals.
$Twindragon fractal.$

Twindragon fractal.
$Tame twindragon fractal.$

Tame twindragon fractal.
Ikeda attractor.
Mandebrot set embedded in cos(z)+c.
Mandebrot set embedded in gaussian exp(-z^2)+c.
$Construction of the Rauzy fractal$

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.
$Variant of the Rauzy fractal.$

Variant of the Rauzy fractal.
$Variant of the Rauzy fractal.$

Variant of the Rauzy fractal.
$Boundary of the T-Square fractal.$

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
$Crown fractal$

Crown fractal
$Wave fractal$

Wave fractal
$Pell fractal$

Pell fractal

2. 3-dimensional fractals[edit]

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 fractal[edit]

$Fibonacci word fractal$

Fibonacci word fractal
First iterations
$Inverted Fibonacci word fractal$

Inverted Fibonacci word fractal
$Fibonacci fractal self-similarities$

Fibonacci fractal self-similarities
$60° fibonacci word fractal$

60° fibonacci word fractal
$Construction of the Fibonacci word fractal$

Construction of the 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
$The Fibonacci word fractal (compact variant)$

The Fibonacci word fractal (compact variant)
$The Fibonacci word fractal (zvastika variant)$

The Fibonacci word fractal (zvastika variant)
$The Fibonacci word fractal (diagonal variant)$

The Fibonacci word fractal (diagonal variant)
$The Fibonacci word fractal (pi/8 variant)$

The Fibonacci word fractal (pi/8 variant)
$The 3 types of Fibonacci word fractals$

The 3 types of Fibonacci word fractals
$IFS for the Fibonacci word fractal$

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
$Tiling built from the Fibonacci word fractal$

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 a variant of the Fibonacci word fractal
$Tiling built from the svastika variant of the Fibonacci word fractal$

Tiling built from the svastika variant of the Fibonacci word fractal

4. Heighway's dragon curve[edit]

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 stuff[edit]

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

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 of the Fibonacci word fractal
Samuel Monnier's artistic view. Detail on a snowflake.
Flames on a Mandelbrot set