AlgoMotion | Hexagon Chaos Game Played on the Circle of Fifths #fractal #music #math @AlgoMotion | Uploaded March 2024 | Updated October 2024, 10 hours ago.
Generating a hexagon fractal on top of the circle of fifths using the chaos game.
Using the notes C, D, E, G♭, A♭, and B♭ (the whole-tone scale) as the corners of a hexagon, a fractal pattern is formed using the chaos game.
From the longer video: youtu.be/alUhtuYt2DQ
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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: amzn.to/4apa7pT
▶ "Fractals Everywhere" by Michael F. Barnsley: amzn.to/4apgh9r
▶ “Algorithms” (4th Edition) by Robert Sedgewick & Kevin Wayne: amzn.to/3uo25xR
▶ “Effective Java” (3rd Edition) by Joshua Bloch: amzn.to/3HOnYJL
▶ “Design Patterns: Elements of Reusable Object-Oriented Software” by Erich Gamma, Richard Helm, Ralph Johnson, & John Vlissides: amzn.to/49fpr7R
▶ “Discrete Algorithmic Mathematics” by Stephen B. Maurer & Anthony Ralston: amzn.to/4bmsOvG
#fractal #math #music #programming #code #java #processing #computerscience #beauty #art #music #mathematical #sierpinski #triangle #wholetone #scale #visualization
Generating a hexagon fractal on top of the circle of fifths using the chaos game.
Using the notes C, D, E, G♭, A♭, and B♭ (the whole-tone scale) as the corners of a hexagon, a fractal pattern is formed using the chaos game.
From the longer video: youtu.be/alUhtuYt2DQ
________
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: amzn.to/4apa7pT
▶ "Fractals Everywhere" by Michael F. Barnsley: amzn.to/4apgh9r
▶ “Algorithms” (4th Edition) by Robert Sedgewick & Kevin Wayne: amzn.to/3uo25xR
▶ “Effective Java” (3rd Edition) by Joshua Bloch: amzn.to/3HOnYJL
▶ “Design Patterns: Elements of Reusable Object-Oriented Software” by Erich Gamma, Richard Helm, Ralph Johnson, & John Vlissides: amzn.to/49fpr7R
▶ “Discrete Algorithmic Mathematics” by Stephen B. Maurer & Anthony Ralston: amzn.to/4bmsOvG
#fractal #math #music #programming #code #java #processing #computerscience #beauty #art #music #mathematical #sierpinski #triangle #wholetone #scale #visualization
![Mathematical Elegance: Power and Radical Functions in Color from [0, 1]](https://i.ytimg.com/vi/u0fI9HfqHvw/hqdefault.jpg "Mathematical Elegance: Power and Radical Functions in Color from [0, 1]
The beauty of simple power functions and their corresponding radical functions (nth root functions) over the domain (and range) [0, 1].
This animated visualization depicts the satisfying symmetry of the functions y = x^n, for n = 1, 2, 3, ..., 10, with the corresponding functions y = x ^ (1/n), for n = 1, 2, 3, ... 10.
The final plot resembles an onion, or a piece of garlic, or possibly some other known physical entities...
Interested in learning more about 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):
▶ “Algorithms” (4th Edition) by Robert Sedgewick & Kevin Wayne: https://amzn.to/3uo25xR
▶ “Effective Java” (3rd Edition) by Joshua Bloch: https://amzn.to/3HOnYJL
▶ “Python Crash Course, 3rd Edition: A Hands-On, Project-Based Introduction to Programming” by Eric Matthes: https://amzn.to/481jQ43
▶ “Design Patterns: Elements of Reusable Object-Oriented Software” by Erich Gamma, Richard Helm, Ralph Johnson, & John Vlissides: https://amzn.to/49fpr7R
▶ “Discrete Algorithmic Mathematics” by Stephen B. Maurer & Anthony Ralston: https://amzn.to/4bmsOvG
#math #maths #mathematics #visualization #software #programming #blender #onion #garlic #satisfying #music #strings #orchestral #asmr #satisfying")
