Notes

Chapter 5: Two Dimensions and Beyond


Section 4: Substitution Systems and Fractals

[2D substitution systems with] non-white backgrounds Affine transformations Complex maps Connection [of 2D substitution systems] with digit sequences Connection [of geometric substitution systems] with digit sequences Dragon curve Fractal dimensions Higher-dimensional generalizations [of substitution systems] History of fractals Implementation [of 2D substitution systems] Implementation [of geometric substitution systems] Neighbor-dependent [2D] substitution systems Parameter space sets Penrose tilings Sierpiński pattern Space-filling curves [Substitution systems based on] other shapes The Mandelbrot set Visualization [of geometric substitution systems]

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