Fractal

**fractal**
	mathematical set of non-integral dimension
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Please look also at Category Fractals page

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Overview[edit]

Parameter plane -1D
Parameter plane - 2D and Mandelbrot set (z²+c)
parameter plane - 3D
Julia set
Koch snowflake
Barnsley fern
Sierpinski triangle- 2D
Sierpinski pyramid - 3D
Sierpinsky carpet -2D
Menger sponge - 3D
Open CL

Mandelbrot set[edit]

Julia set[edit]

Three-dimensional fractals[edit]

Power 9 mandelbulb
Detail of a power 9 mandelbulb
Detail of a power 9 mandelbulb
Power 7 juliabulb
Detail of a power 5 mandelbulb
Detail of a power 20 mandelbulb
LAI4D 3D fractal flower (live sample online)

Various[edit]

$Rectangular leaf fractal 100000 leaf.png$
$T-Square fractal (evolution).png$
$Banach fractal - rose 2.png$
$Newton fractal.png$
$Secant fractal2.jpg$
$Secant fractal.jpg$
$Halley method fractal.jpg$
$Householder method fractal.jpg$
$Newton method fractal.jpg$
$Mmspiralfractal.jpg$
$Box fractal.svg$
$Triangle analog of cross Menger fractal.png$
$H fractal.png$
$Dodecaedron fractal.jpg$
$Icosaedron fractal.jpg$
$Octaedron fractal.jpg$
$Greek cross fractal stage 4.svg$
Koch surface
Koch surface evolution
Koch surface, third iteration
galaxy of galaxies from M-Set
Fibonacci word fractal
Boundary of the Fibonacci word fractal
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 3 types of Fibonacci word fractals
Pinwheel fractal
5 circles inversion fractal
One iteration of the Inverse Julia transformation $\scriptstyle {\sqrt {z+0.75}}$
7 iterations of the Inverse Julia transformation $\scriptstyle {\sqrt {z+0.75}}$
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
The Collatz fractal
$Square tile fractal.png$
$Newton fractal modyfications.gif$
"Exponential parameter space"
Rauzy fractal
Uniform Triangle Mass Center grade 5
Fractal H-I de Rivera
world of portals