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Fractals

Introduction

• Linton, Oliver. Fractals. Wooden Books, 2019. https://woodenbooks.com/index.php?#!FRC.
• Mandelbrot, Benoît B., and Nial Neger. “Fractal Geometry,” Yale University, 2020. https://users.math.yale.edu/public_html/People/frame/Fractals/.

Plants

• Prusinkiewicz, Przemyslaw, and Aristid Lindenmayer. The Algorithmic Beauty of Plants. The Virtual Laboratory. New York, NY: Springer New York, 1990. https://doi.org/10.1007/978-1-4613-8476-2.

Geography

• Jiang, Bin. “New Paradigm in Mapping: A Critique on Cartography and GIS,” January 17, 2019. https://doi.org/10.20944/preprints201901.0173.v1.
• Jiang, Bin. “Head/Tail Breaks for Visualization of City Structure and Dynamics.” Cities 43 (March 1, 2015): 69–77. https://doi.org/10.1016/j.cities.2014.11.013.

Complex Numbers

• Sanderson, Grant. Euler’s Formula with Introductory Group Theory, 2017. https://www.youtube.com/watch?v=mvmuCPvRoWQ.

Examples

• Mandelbrot Set
• Julia Set
• Recursion:
  • Cantor Set
  • Bifurcation
• Strange attractors:
  • Lorenz Attractor
  • Henon Attractor