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]
5 circles inversion fractal
Quadratic Koch curve (type1)
Quadratic Koch curve (type2)
Koch curve 85 degrees. Cesaro fractal
Quadratic Koch curve 3D (type1)
Quadratic Koch curve 3D (type2)
Apollonian spheres packing
3-dimensional Hilbert curve
Logistic map bifurcation diagram
3-dimensional Greek cross
Percolation front (at the percolation threshold)
Self-avoiding random walk
2D Diffusion-limited aggregation
Percolation cluster(just below threshold)
real numbers with even digits
Von Koch curve with random orientation
Von Koch curve with random interval
Fractal percolation p=75%
Takagi or blancmange curve
Secant method applied to
Halley method applied to
Householder method applied to
Newton method applied to
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.
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.
3D diffusion-limited aggregation
2. 3-dimensional fractals[edit]
3 dimensional fractal patterns : Mandelbrot, Mandelbulb, 3D IFS... Mainly generated with Mandelbulber
Mandelbulb power 8 (cross section)
Fractal Tetraedron with spherical folding.
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).
3. The Fibonacci word fractal[edit]
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
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 curve[edit]
Boundary of the Dragon curve
5. Other stuff[edit]
Artistic views, lanscapes generated from main fractals, and other unsorted stuff
Magnet Julia set landscape
Flames on a Mandelbrot set
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