Fractal

<nowiki>fractal; 프락탈; Brotamynd; Fraktal; Фрактал; fractal; Fractal; Tampaha; fraktál; фрактал; Fraktalo; Fraktal; 프랙탈; Фрактал; frakto; fraktál; Fraktal; ফ্রাক্টাল; fractale; Фрактал; Phân dạng; Fraktālis; Fraktaalmeetkunde; фрактал; Impindampindwano; fractal; fraktal; fraktal; Fraktal; ಫ್ರಾಕ್ಟಲ್‌; فراکتال; fractal; كسيرة; 碎形; fraktál; Fraktal; Fractal; fractal; Фрактал; Fraktal; Фрактал; Ֆրակտալ; 分形; fraktal; ფრაქტალი; フラクタル; Fractal; פרקטל; Фрактал; भग्न; 分形; ਫ੍ਰੈਕਟਲ; பகுவல்; frattale; Fraktal; Fraktal; Фрактал; Fractal; Fraktal; Codach; Frattali; fractal; แฟร็กทัล; Fraktaali; фрактал; Fraktalas; fraktal; fraktal; фрактал; Fraktal; Fraktal; fraktal; ഫ്രാക്ടൽ; fractal; Fractal; Фрактал; 分形; Ffractal; Fractal; برخال; Φράκταλ; фрактал; oggetto geometrico; önismétlő geometriai alakzat; мноства, якое валодае ўласьцівасьцю самападобнасьці; множество, обладающее свойством самоподобия; selbstähnliche Mengen und Geometrien; tipo de conjunto em matemática; الگو‌های تگرار شونده یعنی برابری جز با کل; matematična množica neintegralne razsežnosti; フランスの数学者ブノワ・マンデルブロが導入した幾何学の概念; vondrona matematika; obiekt samopodobny i wzorzysty; צורה גאומטרית; meetkundige figuur die zelfgelijkend is; objecte matemàtic; objet mathématique dont la structure est invariante par changement d'échelle; 일부 작은 조각이 전체와 비슷한 기하학적 형태; mathematical set of non-integral dimension; أشكال هندسية تتدرج زيادة أو نقصاناً; objeto geométrico; itsesimilaarinen joukko; geometría fractal; fractales; geometria fractal; fractals; Fraktale; Fraktale Geometrie; هندسه برخالی; فراکتال; فراکتال‌ها; هندسه فراکتال‌ها; فرکتال; هندسه برخال‌ها; هندسه برخال ها; فرکتال‌ها; هندسه فراکتال ها; 分形学; 分形几何; 自相似性; 分數維形; 碎形; fraktal funktion; fraktal geometri; fraktalgeometri; fraktalfunktion; monsterkurva; Fractalis; Fractales; Itsesimilaari fraktaali; Fraktaalit; Murtomuoto; Fraktaalifunktio; Fraktaaligeometria; Фракталдар; fraktalo; Curve frattali; Geometria dei frattali; Struttura frattale; Geometria frattale; Frattali; ফ্র্যাক্টাল; fractalité; géométrie fractale; fractal; fractales; Fraktali; Studiu dei frattali; Fractal; fraktāļi; Фрактали; fraktali; monofraktal; množica fraktalov; 프랙탈 곡선; 프랙탈 기하학; 차원분열도형; 프랙털; 차원 분열 도형; fractaal; fractals; fractalen; Fraktalai; Geometri fraktal; Fraktale; Fraktaler; Fraktali; Fraktaalsus; Fraktaal; геометрический фрактал; стохастический фрактал; фрактальная структура; фракталы; фрактальная графика; แฟรกทัล; เรขาคณิตสาทิสรูป; เรขาคณิตเศษส่วน; Фрактална геометрия; Фрактали; fractals; fractal set; fractal sets; هندسة فركتلية; هندسة كسرانية; كسيري; الهندسة الكسيرية; فركتل; هندسه كسيريه; كسيرية; Μορφοκλασματικό σύνολο; Fractal; Fractal</nowiki>

fractal 

mathematical set of non-integral dimension
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Subclass of	set
Part of	mathematics
Authority file  Q81392 Library of Congress authority ID: sh85051147 Bibliothèque nationale de France ID: 119730272 NDL Authority ID: 00576561 BNCF Thesaurus ID: 7037 NL CR AUT ID: ph120342 BabelNet ID: 00036150n National Library of Israel J9U ID: 987007548246005171 Reasonator Scholia Wikidocumentaries KML file Search depicted

Overview

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

Mandelbrot set

See also Mandelbrot set

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  Mandelbrot set (z²+c)
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  z³+c
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  z⁴+c
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  z⁵+c
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  z⁶+c
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  z⁷+c
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  Mandelbrot set
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Julia set

See also Julia set

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  Julia set z²+1/4
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  Julia set z²-1
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  Julia set for z³+c
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  Douady rabbit
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  Dendrite Julia set
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  Spiral in a julia set
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  gif

Three-dimensional fractals

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

Various

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  Koch surface
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  Koch surface evolution
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  Koch surface, third iteration
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  galaxy of galaxies from M-Set
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  Fibonacci word fractal
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  Boundary of the Fibonacci word fractal
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  Fibonacci word gasket
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  The Fibonacci word fractal
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  The Fibonacci word fractal (compact variant)
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  The Fibonacci word fractal (zvastika variant)
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  The Fibonacci word fractal (diagonal variant)
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  The 3 types of Fibonacci word fractals
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  Pinwheel fractal
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  5 circles inversion fractal
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  One iteration of the Inverse Julia transformation $\scriptstyle {\sqrt {z+0.75}}$
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  7 iterations of the Inverse Julia transformation $\scriptstyle {\sqrt {z+0.75}}$
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  real numbers with even digits
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  Von Koch curve with random orientation
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  Von Koch curve with random interval
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  Fractal percolation p=75%
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  Brownian surface
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  Weierstrass function
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  IFS 3 ratios
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  Takagi or blancmange curve
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  Self-affine fractal set
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  A random Cantor set
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  The Collatz fractal
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  "Exponential parameter space"
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  Rauzy fractal
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  Uniform Triangle Mass Center grade 5
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  Fractal H-I de Rivera
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  world of portals

Fractal flame

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

Fractal dimension

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Nature

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

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

Sceneries

Fractal sceneries and landscapes generated from various iterated formulas:

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

Art

Fractal Art:

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  Jerusalem Cross
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  Bos
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  Bril
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  Bubbles
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  Elektriciteit
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  Goud
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  Kompas
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  Kroon
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  Maan
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  Copper life-form
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  Masterplan
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  Modern
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  Nederland
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  Olie
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  Plant
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  Rosette
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  Snow
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  Fractal rocket science
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  Alien generator
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  Spheres
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  Swirl
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  Vlinders
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  Vuur
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  Wolk
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  Super-volcano
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  Spiralförmiges Fraktal
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  Blackhole Sun
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  BorgArt
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  Mutant daisies - keep out!
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  Knife in the dark
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  "Who is this doing this alpha-beta type psychedelic funkin'"
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  Scorpion fog
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  Julia set fractal animation
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  Thailand-1
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  "Worldegg"
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  "Way into my microchip"
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  "Flames on a Mandelbrot set"
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  "Thinking of Art"
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  "Art and Jazz"
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  Fractal XaoS UFO
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  Fractal Xaos psychedelic.png
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  Barnsly fern to Sierpinsky triangle animation
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  Vicsek fractal evolving into fractal tree.
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  Mandelbrot Image by own software 1
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  Mandelbrot Image by own software 2
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  Mandelbrot Image by own software 3
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  Mandelbrot Image by own software 4
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  Mandelbrot Image by own software 5
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  Mandelbrot Image by own software 6
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  Mandelbrot Image by own software 7
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  Mandelbrot Image by own software 8
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  Mandelbrot Image by own software 9
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  Mandelbrot Image by own software 10
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  Mandelbrot Image by own software 11
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  Mandelbrot Image by own software 12
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  Mandelbrot Image by own software 13
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  Mandelbrot Image by own software 14
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  Mandelbrot Image by own software 15
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  Mandelbrot Image by own software 16
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  Mandelbrot Image by own software 19
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  Mandelbrot Image by own software 20
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  Mandelbrot Image by own software 21
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  Mandelbrot Image by own software 23
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  Mandelbrot Image by own software 18
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  Mandelbrot Image by own software 24
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  Mandelbrot Image by own software 25
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  Mandelbrot Image by own software 17
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  Mandelbrot Image by own software 26
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  Mandelbrot Image by own software 27
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  Mandelbrot Image by own software 28
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  Mandelbrot Image by own software 29
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  Mandelbrot Image by own software 30
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  Mandelbrot Set in blue 01 by own software
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  Mandelbrot Animated Image by own software 1
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  Mandelbrot Animated Image by own software 2
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  Mandelbrot Animated Image by own software 3
• Mandelbrot set color cycling video

Music

Fractals and music:

Basin Boundaries

The basin boundaries form a Cantor set...

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 See also category: Fractals.