Introduction to Fractal Geometry
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|Michael Frame, Benoit Mandelbrot, and Nial Neger|
|A collection of pages to support a first course in fractal geometry for students without especially strong mathematical preparation. See examples of fractals in the arts, humanities, and social sciences. Learn about self-similarity, plane transformations, iterated function systems, rendering fractals with random algorithms, fractals in architecture, and more. Download executable Macintosh software: TreenessEmerging, on iterated function systems, deterministic and random algorithms, and the chaos game; IterateAgainSam, on one-dimensional dynamics, graphical iteration, histograms, time series, and bifurcation diagrams; DesperatelySeekingChaos, on data analysis by driven IFS, near returns, Kelly plots, and music; WaitingForMandelbrot, on Mandelbrot and Julia sets; and Cellabration, on one- and two-dimensional cellular automata.|
|Levels:||Middle School (6-8), High School (9-12)|
|Resource Types:||Course Notes, Archives/Download Sites|
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