| Sept 3. Introduction to fractals,
types of self-similarity, examples of fractals in nature and the arts |
| Sept 8. Iterated function systems, a language
for making fractals |
Sept 10. Finding rules to make fractals, continued
Review and notes |
| Sept 15. The chaos game, the random IFS algorithm
Review and notes |
Sept 17. Driven IFS: using fractals to find hidden
patterns Review and notes |
| Sept 22. Continuing driven IFS
Review and notes |
Sept 24. Measuring fractals, box-counting dimension
Review and notes |
| Sept 29. Similarity dimension, the Moran equation,
mass dimension Review and notes |
Oct 1. The algebra of dimensions, some applications of
dimension Review and notes |
| Oct 6. Generalizing dimensions: multifractals
Review and notes |
Oct 8. More multifractals
Review and notes |
| Oct 13. Random fractals
Review and notes |
Oct 15. Manufactured fractals Review |
| Oct 20. Fractals in the wild | |
| Oct 27. Midterm review |
Midterm and solutions |
| Nov 3. Fractal cartoons of financial processes Notes |
Nov 5. A brief glimpse of chaos Review and
notes |
| Nov 10. Some ways to analyze chaotic data Review and
notes |
Nov 12. Driven IFS analysis of chaotic data Review and
notes |
| Nov 17. Cellular automata: fractals in space and time Review |
Nov 19. The universe is a cellular automaton: views for
and against Review |
| Dec 1. Complex iteration, Julia sets, and the
Mandelbrot set Review and notes |
Dec 3. Some basic properties of the Mandelbrot set
Review and notes |
| Dec 8. Fractal basin boundaries, the Mandelbrot set is
everywhere Review |
Dec 10. Some things we do (and don't) know about the Mandelbrot
set Review and notes |