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Fractals, Chaos, Self Similarity

paulbourke.net/fractals

Paul Bourke - Fractals, Chaos, Self Similarity

GraphicsMath

’00’05’10’15’20’25
Posts
309 from 6 Jul 1998 to 12 Jan 2017
Posting
quiet since 2017
Kind
personal blog

2017 2

  1. Julia variant
  2. Zubieta Julia

2005 2

  1. DLA - Diffusion Limited Aggregation
  2. DLA (Diffusion Limited Aggregation)

2004 6

  1. Grand Canyon Natural Fractals Presentation and Slide Notes
  2. Natural Fractals in Grand Canyon National Park
  3. POVRay Fractal Raytracing Contest
  4. PovRay contest
  5. Quaternion Julia Fractals
  6. Quaternion Julia

2001 1

  1. Introduction to fractals

2000 2

  1. The Lorenz Attractor, a thing of beauty
  2. Lorenz Attractor

1999 3

  1. Rational fractals
  2. Fractal Dimension Calculator, Compass dimension, Lacunarity, Multifractal spectrum, Recurrence plots
  3. Fractal Dimension and Self Similarity

1998 9

  1. Pascals Triangle in Gray Code, its Hadamard and IFS
  2. Pascal Grey Code
  3. General Pascal's triangle as a modulo sum rule
  4. Pascal modulo
  5. Experimental Orthogonal Fields to Sierpinski Sets and Twin Dragons
  6. Fractal fields
  7. Construction of IFS Fractals of Specific Similarity Dimension
  8. Measure function
  9. Measure Function

Undated 284

  1. Filling fractals
  2. Binocular and guitar fractal
  3. Twon dragon
  4. Cross Carpet
  5. Percolation
  6. Circle Squares
  7. Clifford Attractors
  8. Rings fractal
  9. The Rossler Attractor
  10. L-System manual
  11. Burning Ship Fractal
  12. Phoenix Julia
  13. Estimating fractal dimension of point datasets
  14. Square Coral
  15. Gasket Photography by Gayla Chandler
  16. Spiral Julia
  17. Polygon Chaos Game (IFS)
  18. Henon Phase Diagrams
  19. Popcorn
  20. Polynomial attractors
  21. Arneodo attractor
  22. "Having a bad hair day" attractor
  23. Chaos Game
  24. Curlicue fractal
  25. 3 ways of Creating the Sierpinski Carpet
  26. Random Attractors - Found using Lyapunov Exponents
  27. Cubic Julia
  28. Unnamed by Chris Thomasson
  29. Sierpinski Gasket
  30. Yu-Wang attractor
  31. Trianguloid
  32. Herman Rings fractal
  33. Tree root attractor
  34. Carotid function
  35. z4 Julia Gasket
  36. Random walk
  37. Antoines Necklace
  38. Circular Infinity
  39. Sprott Attractor
  40. Tetration fractal
  41. Adjusted probability reverse Julia
  42. Quadratic Mandelbrot set in 3D
  43. Benfords law
  44. Decision procedure for "oneness"
  45. Julia set fractal
  46. Five center factorization for the Mandelbrot set
  47. N attractor
  48. Woggle fractal
  49. Miscellaneous volumentric fractals
  50. Mandelbrot powers
  51. Multi Julia IFS
  52. Leaf Geometry
  53. Gumowski-Mira attractor
  54. Solenoid fractal
  55. The Buddhabrot
  56. Attractors by Juan Catrián
  57. Square tile fractal
  58. Computer sketching
  59. Gauss Map tetrahedron 3D IFS
  60. Polygonal interative fractals
  61. Apollony fractal
  62. Danca fractal
  63. Google Earth Fractals
  64. Reuleaux Triangle fractal
  65. Barnsley Tree
  66. sinh() fractal
  67. Wada basins
  68. Chaos and stretching/folding
  69. Tricorn Fractal
  70. Lambda fractal
  71. Rogers Rings
  72. Johnson attractor
  73. Newton Raphson Fractals
  74. Kissing Circles - Apollonian Carpet
  75. Chen Lee Attractor
  76. Ikeda attractor
  77. mrly fractals: Menger, Sierpinski, Cantor
  78. Mauldin gasket
  79. Insideout Dragon
  80. Burke-Shaw attractor
  81. Bad Newton Fractal
  82. Brocolli fractal
  83. Log Spiral fractal
  84. Lévy curve
  85. Star Julia
  86. Den Tsucs attractor
  87. Multifractal Julia fractals
  88. Cactus
  89. Random space filling of the plane
  90. Mandelbulb set
  91. Thorn Fractal (Secant Sea)
  92. iabs fractal
  93. Triple Dragon Fractal
  94. Random Shell Gaskets
  95. Hofstadter Q series
  96. Alexanders Horns
  97. Juan attractor
  98. Representing and modelling geometry in SecondLife
  99. Box counting fractal dimension of volumetric data
  100. Lace Julia
  101. Interlinked square tori
  102. Nova fractal
  103. Multifractal image
  104. Lace Attractor
  105. Gingerbread man
  106. Lemon
  107. Coral Dragon
  108. Hypercomplex fractals
  109. Simone fractal
  110. Fractional Powers
  111. IFS manual
  112. Quintonion fractal
  113. Julia set of sin(z)
  114. Quasi Fuchsian fractals
  115. samila mappings
  116. Simone attractor
  117. Visualising Mandelbrot Escape Trajectories
  118. Fractals: a Symmetry Approach
  119. Roger's Rational rings
  120. LongBrot fractal
  121. Chen Celilovsky attractor
  122. Star fractal
  123. Biomorphs
  124. Pelham Street Fractal
  125. Magnet 1
  126. Henon Map
  127. BioBlob
  128. Logistic Equation
  129. 1D Boolean Cellular Automata
  130. Octahedral Sierpinski Carpet
  131. Colouring Attractors
  132. Peter de Jong
  133. Noise, Perlin, 1/f Noise, Modelling planets
  134. Marek Dragon
  135. Penrose kite fractal
  136. Cubic Julia
  137. Volumetric fractals
  138. Grinchdragon
  139. Henonattractor
  140. Mandelbrot
  141. Bouali
  142. Duffing
  143. Quaternion trig
  144. Attract3d
  145. Trajectories
  146. Septagon
  147. Wallpaper
  148. Crown
  149. Midjourney
  150. Num
  151. Mosley
  152. Tippetts
  153. Peano basin
  154. Fracintro
  155. Symmetryinchaos
  156. Fourwing
  157. Inversetree
  158. Random space filling of the plane
  159. The geometric beauty of leaves
  160. Fractal forms found by using Google Earth
  161. Rendering Wada-type basins of attraction
  162. Box counting fractal dimension of volumetric data
  163. Box counting fractal dimension of point data
  164. Box Counting 4D fractals
  165. Volumetric fractals
  166. 3D volumetric fractal trajectories
  167. Polyhedral fractals
  168. IFS (Iterated Function Systems)
  169. L-Systems (Lindenmayer Systems)
  170. Tippetts Mandelbrot
  171. Quadratic Mandelbrot
  172. Mandelbrot powers
  173. Mandelbrot trajectories
  174. Mandelbrot factorization
  175. Multifractal Mandelbrot
  176. Mandelbrot filling
  177. Marek Dragon
  178. Burning ship
  179. Inside out Dragon
  180. Star Julia
  181. Julia Set
  182. Sin Julia
  183. Cubic Julia
  184. Multi Julia
  185. Cubic Julia
  186. sinh() Julia
  187. Reverse Julia
  188. Alexanders Horns
  189. Symmetry in Chaos
  190. Mosely Snowflake
  191. Pelham fractal
  192. mrly fractals
  193. Antoines Necklace
  194. Simones Orbits
  195. Midjourney fractals
  196. Duffing Attractor
  197. Rossler Attractor
  198. Bouali attractor
  199. Henon Attractor
  200. Chen Lee Attractor
  201. Polynomial attractors
  202. N attractor
  203. Juan attractor
  204. Random Attractors
  205. VR Attractor
  206. Burke-Shaw attractor
  207. Yu-Wang attractor
  208. Chen-Celikovsky attractor
  209. Four Wing attractor
  210. Tsucs attractor
  211. Sprott attractor
  212. Arneodo attractor
  213. Peter de Jong
  214. Henon Map
  215. Gingerbread man
  216. Henon Phase Diagrams
  217. Gumowski-Mira
  218. Grinch Dragon
  219. Cooral Dragon
  220. Twon Dragon
  221. Johnson attractor
  222. Hypercomplex
  223. Quasi Fuchsian
  224. Quaternion trigonometry
  225. Gauss Map
  226. Miscellaneous volumetric
  227. Random shell gaskets
  228. Fractal linked tori
  229. Fractals in SecondLife
  230. Simone Conradi
  231. Apollony fractal
  232. Random walk
  233. Lévy curve
  234. Newton Raphson
  235. Bad Newton
  236. Circle Squares
  237. Num Julia
  238. Nova fractal
  239. Magnet fractals
  240. Logistic Equation
  241. Q Series
  242. Carotid function
  243. Computer sketching
  244. 1D Cellular Automata
  245. Chaos Game
  246. Square tile fractal
  247. Stretch/fold
  248. Square Coral
  249. Triple Dragon
  250. Lace attractor
  251. Phoenix Julia
  252. Juan Catrián
  253. Inverse tree
  254. Z4 gasket
  255. Polygon iterations
  256. Cross Carpet
  257. Fractional powers
  258. Rogers Rings
  259. Bad hair day
  260. Multifractal
  261. Mauldin Gasket
  262. Lambda fractal
  263. Kissing circles
  264. Barnsleys Tree
  265. Circular Infinity
  266. Octahedral Sierpinski Carpet
  267. Sierpinski Carpet
  268. Log Spiral
  269. Fractal Crown
  270. Spiral Julia
  271. Polygon IFS
  272. Herman Rings
  273. Reuleaux Triangle
  274. Spiral Septagon
  275. iabs fractal
  276. Penrose Kite
  277. Rational Rings
  278. Tree roots
  279. Peano Basin
  280. Fractal thorn
  281. Fractals: A Symmetry Approach
  282. Gasket Photography
  283. Benfords Law
  284. Colouring Attractors