Transformations on Metric Spaces, Contraction Mappings, and the Construction of Fractals
3.1 | Transformations on the Real Line
3.13.2 | Affine Transformations in the Euclidean Plane
3.23.3 | Möbius Transformations on the Riemann Sphere
3.33.4 | Analytic Transformations
3.43.5 | How to Change Coordinates
3.53.6 | The Contraction Mapping Theorem
3.63.7 | Contraction Mappings on the Space of Fractals
3.73.8 | Two Algorithms for Computing Fractals from Iterated Function Systems
3.8
3.93.10 | How to Make Fractal Models with the Help of the Collage Theorem
3.103.11 | Blowing in the Wind: Continuous Dependence of Fractals on Parameters
3.11