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: ▶ “Effective Java” (3rd Edition) by Joshua Bloch: ▶ “Python Crash Course, 3rd Edition: A Hands-On, Project-Based Introduction to Programming” by Eric Matthes: ▶ “Design Patterns: Elements of Reusable Object-Oriented Software” by Erich Gamma, Richard Helm, Ralph Johnson, & John Vlissides: ▶ “Discrete Algorithmic Mathematics” by Stephen B. Maurer & Anthony Ralston: #math #maths #mathematics #visualization #software #programming #blender #onion #garlic #satisfying #music #strings #orchestral #asmr #satisfying