User:TheFractalMan/Books/Fractals - An Overview

Fractals - An Overview

 * Fractal Properties
 * Fractal
 * Self-similarity
 * Recursion
 * Iteration
 * Attractor
 * Fractal dimension
 * Hausdorff dimension
 * Coastline paradox
 * How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension


 * Curves and Lines
 * Turtle graphics
 * Logo (programming language)
 * L-system
 * Sierpinski triangle
 * Sierpinski carpet
 * Koch snowflake
 * Hexaflake
 * N-flake
 * Space-filling curve
 * Dragon curve
 * Hilbert curve
 * Peano curve
 * Moore curve
 * Lévy C curve
 * Gosper curve
 * Sierpiński curve
 * Sierpiński arrowhead curve
 * H tree
 * Z-order curve
 * Fibonacci word
 * Rauzy fractal


 * Chaotic Fractals
 * Chaos theory
 * Chaos game
 * Barnsley fern
 * Iterated function system
 * Affine transformation
 * Diffusion-limited aggregation
 * Lorenz system
 * Rössler attractor
 * Logistic map
 * Brownian motion
 * Brownian tree
 * Lévy flight
 * Percolation theory
 * Self-avoiding walk


 * Complex Fractals
 * Julia set
 * Douady rabbit
 * Complex quadratic polynomial
 * Newton fractal
 * Apollonian gasket
 * Lyapunov fractal


 * 3D Fractals
 * Mandelbulb
 * Menger sponge
 * Jerusalem Cube


 * Other Fractals
 * Cantor set
 * Penrose tiling
 * Barycentric subdivision
 * Finite subdivision rule
 * Inversive geometry
 * Pinwheel tiling
 * Pascal's triangle
 * Vicsek fractal
 * Pythagoras tree (fractal)
 * T-square (fractal)
 * Fractal landscape
 * Fractal art


 * Fractal Personalities
 * Michael Barnsley
 * Georg Cantor
 * Bill Gosper
 * Felix Hausdorff
 * David Hilbert
 * Gaston Julia
 * Helge von Koch
 * Paul Lévy (mathematician)
 * Aristid Lindenmayer
 * Aleksandr Lyapunov
 * Benoit Mandelbrot
 * E. H. Moore
 * Giuseppe Peano
 * Lewis Fry Richardson
 * Wacław Sierpiński