Chaos and Fractals

Fall 2023

Professor: Mark McClure

Handy Links

• Syllabus
• Course calendar
• The textbook
• Class Discourse

Demos

• Scientific American, August 1985
• A bifurcation diagram
• A fractal IFS gallery
• Similarity transformations
• Similarity and the pedal triangle
• Deterministic IFS algorithms
• Stochastic IFS algorithms
• Box counting dimension
• McMullen Carpets
• Mixed self-similarity
• Quasi-self-similarity of Julia sets
• Inverse iteration

Tools

• Sage Cell Server
• Newton's method for complex polyomials
• Cobweb plots
• Julia sets and the Mandelbrot set
• Polynomial Julia sets
• The IFS Visualizer
• IFS Quickstart on Observable
• Box counter

Handouts

• Review 1
• Review 2