Fractal

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Overview[편집]

Parameter plane -1D
Parameter plane - 2D and Mandelbrot set (z²+c)
parameter plane - 3D
Julia set
Koch snowflake
Barnsley fern
Sierpinski triangle- 2D
Sierpinsky pyramid - 3D
Sierpinski carpet -2D
Menger sponge - 3D
$A via OpenCL rendered fractal image$

A via OpenCL rendered fractal image

Mandelbrot set[편집]

Julia set[편집]

Three-dimensional fractals[편집]

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
$LAI4D 3D fractal flower (live sample online)$

LAI4D 3D fractal flower (live sample online)

Various[편집]

Koch surface
Koch surface evolution
Koch surface, third iteration
galaxy of galaxies from M-Set
$Fibonacci word fractal$

Fibonacci word fractal
$Boundary of the Fibonacci word fractal$

Boundary of the Fibonacci word fractal
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)
$The 3 types of Fibonacci word fractals$

The 3 types of Fibonacci word fractals
$Pinwheel fractal$

Pinwheel fractal
$5 circles inversion fractal$

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
$Self-affine fractal set$

Self-affine fractal set
A random Cantor set
$The Collatz fractal$

The Collatz fractal
"Exponential parameter space"
$Rauzy fractal$

Rauzy fractal
Uniform Triangle Mass Center grade 5
Fractal H-I de Rivera
world of portals

Fractal flame[편집]

Fractal Flame
Fractal Flame
Fractal Flame
Fractal Flame
Fractal Flame
Fractal Flame
Fractal Flame
Fractal Flame
Fractal Flame
Fractal Flame
Fractal Flame

Fractal dimension[편집]

Nature[편집]

Fractals in nature; see also Category:Fractals in nature:

boundary of brownian motion
Percolation front (at the percolation threshold)
Self-avoiding random walk
2D Diffusion-limited aggregation
Percolation cluster(just below threshold)
Brownian motion
Coastline of Norway
Ball of crumpled paper
Aveoli of the lungs
Neuron (Purkinje Cell)
Cerebellum of the Human Brain

Sceneries[편집]

Fractal sceneries and landscapes generated from various iterated formulas:

$Mandelbrot set rendered by a fractal-based scenery generator:Terragen$

Mandelbrot set rendered by a fractal-based scenery generator:Terragen
$Mandelbrot set rendered by a fractal-based scenery generator:Terragen$

Mandelbrot set rendered by a fractal-based scenery generator:Terragen
$Julia set rendered by a fractal-based scenery generator:Terragen$

Julia set rendered by a fractal-based scenery generator:Terragen
Flames on a Mandelbrot set rendered by Terragen
Detail of the Magnet julia set rendered by Terragen
Detail of the Mandelbrot set rendered by Terragen

Art[편집]

Fractal Art:

Jerusalem Cross
Bos
Bril
Bubbles
Elektriciteit
Goud
Kompas
Kroon
Maan
Copper life-form
Masterplan
Modern
Nederland
Olie
Plant
Rosette
Snow
Fractal rocket science
Alien generator
Spheres
Swirl
Vlinders
Vuur
Wolk
Super-volcano
Spiralförmiges Fraktal
Blackhole Sun
BorgArt
Mutant daisies - keep out!
Knife in the dark
"Who is this doing this alpha-beta type psychedelic funkin'"
Scorpion fog
$Julia set fractal animation$

Julia set fractal animation
Thailand-1
"Worldegg"
"Way into my microchip"
"Flames on a Mandelbrot set"
"Thinking of Art"
"Art and Jazz"
Fractal XaoS UFO
Fractal Xaos psychedelic.png
Barnsly fern to Sierpinsky triangle animation
$Vicsek fractal evolving into fractal tree.$

Vicsek fractal evolving into fractal tree.
Mandelbrot Image by own software 1
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Mandelbrot Image by own software 30
Mandelbrot Set in blue 01 by own software
Mandelbrot Animated Image by own software 1
Mandelbrot Animated Image by own software 2
Mandelbrot Animated Image by own software 3
Mandelbrot set color cycling video