Way Beyond the Golden Ratio - The Power of AB=A+B

Explore the fascinating world of mathematical ratios beyond the golden ratio in this 50-minute masterclass video. Delve into Peter Steinbach's groundbreaking discovery of an infinite family of counterparts to the golden ratio. Journey through topics such as Ptolemy's theorem, perfect cuts, golden rectangles, Fibonacci numbers, and the intriguing A+B=AB relationship. Gain insights into heptagonal geometry, infinite tilings, and complex number applications. Engage with thought-provoking questions on 3D golden spirals, nonagon properties, and Binet's formula variations. Access additional resources, including related papers, software tools, and complementary Mathologer videos to further expand your understanding of these advanced mathematical concepts.

Intro
Ptolemy
Perfect cut
Golden rectangle
Fibonacci
A+B=AB
Images and music
Thank you!