FRACTAL FIND
Explore Fractal and Quantum Variations

• Create, develop, and explore fractal variations in Mandelbrot, Julia, and unit circles.
• Generate fractal figures with build modifications while maintaining conventional iterative techniques.
• Demonstrate variations in Mandelbrot, Julia, unit circles using fractal mathematics, pseudocode, graphs, and examples.
• Provide fractal variation instructions using chapters and appendices.
• See the Introduction for a synopsis of chapters, appendices, Gallery, Figures, Color, Information, and References.
• See Chapter 1 through Chapter 4 for information on fractal variations including symmetry.
• See Chapter 5 for information on fractal Feigenbaum variations created from Julia sets.

• The purpose of this section is to present quantum theory using fractal algebra. Fractal algebra is quantum theory.
• Quantum fractal theory ties classical quantum theory to what is observed in fractal algebra.
• Fractal manipulations are directly measurable; much of quantum theory remains unknown.
• Fractal algebra is presented here including axis separation, {-, 0, +} sets, graphs or maps, empirical data.
• See Chapter 7 through Chapter 10 for information on Quantum Fractal Theory.

Fractal Wallpaper #9 See Chapter 2, Appendix D for information on fractal Mandelbrot tile variations, and Appendix K for information on fractal wallpaper.