Fractal

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Please look also at Category Fractals page

[edit] 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

[edit] Special fractals

[edit] Examples

Fractal Flame	Fractal Flame	Fractal Flame	Fractal Flame
Fractal Flame	Fractal Flame	Fractal Flame	Fractal Flame
Fractal Flame	Fractal Flame	Burning Ship fractal	Apfelmann im Gras
Mandelbrot set (z²+c)	z³+c	z⁴+c	z⁵+c
z⁶+c	z⁷+c	Mandelbrot set	Buddhabrot
Julia set	Julia set for z³+c	Koch snowflake	Sierpinski triangle
T-Square	Menger sponge	Sierpinski carpet	Sierpiński curve
Hilbert curve	Peano curve	Moore curve stages 1-4	Moore curve stages 0-5
Moore curve in 3D, stage 3	Lebesgue curve or z-order curve	Lebesgue 3D curve, iter. 1	Lebesgue 3D curve, iter. 2
Lebesgue 3D curve, iter. 3	Dragon curve	Banach curve	Gosper curve
Gosper island	Penta plexity	Fraktal als Schneeflocke	Fraktal aus Sechsecken
Fraktal aus Achtecken	Fraktal aus Zehnecken	Fraktal aus Zwölfecken	Fractal flame set
Pythagoras tree	Lévy C curve	Newton fractal	Newton fractal
Secant fractal	Bransley's fern	Fractal vortices	Feigenbaum Planet
Smith-Volterra Cantor set	Henon attractor	Koch curve	2D Cantor set
Apollonian gaskett	Box fractal	Quadratic Koch curve (type1)	Quadratic Koch curve (type2)
Boundary of the Dragon curve	Arrowhead Sierpinski curve	Sierpinski arrowhead curve	Evolution of Sierpinski arrowhead curve
Sierpinski arrowhead curve in 3D	Pascal triangle modulo 3	Pascal triangle modulo 5	Hexaflake
Empty Hexaflake	Koch curve 85 degrees. Cesaro fractal	3D Cantor dust	3D Cantor dust stages
Penrose tiling	Dragon curve	Terdragon curve	Terdragon curve boundary
Sierpinski tetraedron	H-fractal	Lorenz attractor	Quadratic Koch curve 3D (type1)
Quadratic Koch curve 3D (type2)	Quadratic Koch surface (type 1, stage 1)	Quadratic Koch surface (type 1, stage 2)	Quadratic Koch surface (type 1, stage 3)
Quadratic Koch surface (type 2, stage 1)	Quadratic Koch surface (type 2, stage 2)	Quadratic Koch surface (type 2, stage 3)	Dodecaedron fractal
Icosaedron fractal	Octaedron fractal	Apollonian spheres packing	3-dimensional Hilbert curve
Hilbert 3D curve, iter. 1	Hilbert 3D curve, iter. 2	Hilbert 3D curve, iter. 3	Hilbert 3D curve, iter. 4
Logistic map bifurcation diagram	3-branches tree (90°)	3-branches tree (60°)	2D Greek cross fractal
Evolution of 2D Greek cross fractal	3-dimensional Greek cross	Evolution of 3D Greek cross fractal	Cantor dust
'	'	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
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	The Collatz fractal

[edit] Miscellaneous


	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
Thailand-1	"Worldegg"	"Way into my microchip"


	"Spiral in a julia set"	"Flames on a Mandelbrot set"

[edit] Fractal dimension

[edit] Fractals in nature

			Le Havre St Jospeh int1 fractal.jpg
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	3D Diffusion-limited aggregation
Ball of crumpled paper	Aveoli of the lungs