Chaos Game Played on the Circle of Fifths #fractal #music #math
Generating the Sierpinski Triangle on top of the circle of fifths using the chaos game.
Using the notes C, E, and A♭ (an augmented chord) as the corners of a triangle, the Sierpinski Triangle is generated via the chaos game.
From the longer video:
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Interested in learning more about fractals, algorithms, and how to program? Here are some useful and/or classic textbooks that I recommend (these are affiliate links, if you buy one, I get a small commission):
▶ “The Fractal Geometry of Nature“ by Benoit B. Mandelbrot:
▶ “Fractals Everywhere“ by Michael F. Barnsley:
▶ “Algorithms” (4th Edition) by Robert Sedgewick & Kevin Wayne:
▶ “Effective Java” (3rd Edition) by Joshua Bloch:
▶ “Design Patterns: Elements of Reusable Object-Oriented Software” by Erich Gamma, Richard Helm, Ralph
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