Chapter 5 Notes > Section 4

	Notes for Chapter 5: Two Dimensions and Beyond Section 4: Substitution Systems and Fractals Implementation [of 2D substitution systems] Connection [of 2D substitution systems] with digit sequences Sierpinski pattern [2D substitution systems with] non-white backgrounds Higher-dimensional generalizations [of substitution systems] [Substitution systems based on] other shapes Penrose tilings Dragon curve Implementation [of geometric substitution systems] Connection [of geometric substitution systems] with digit sequences Visualization [of geometric substitution systems] Parameter space sets Affine transformations Complex maps Fractal dimensions History of fractals The Mandelbrot set Neighbor-dependent [2D] substitution systems Space-filling curves PAGE IMAGES RELATED LINKS Main text from section Downloadable programs for this section Downloadable images Search Forum for this section Post a comment NKS | Online FAQs

From Stephen Wolfram: A New Kind of Science [citation]