The Golden Ratio Spiral - Visual Infinite Descent

Explore the fascinating world of number-based spirals in this 22-minute video from Mathologer. Discover how every number, not just the golden ratio, has its own associated spiral that provides key insights into its nature. Delve into proofs by contradiction using infinite descent, infinite continued fractions, and more. Learn about square spirals, rational spirals, infinite spirals, and repeating spirals. Gain a deeper understanding of the mathematical concepts behind these visual representations and debunk common misconceptions about golden spirals in nature. Includes references to additional resources for further exploration of the topic.

Introduction
Square spiral of a number
Rational spiral
Infinite spiral
Repeating spiral