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If you enjoyed this video, you're going to love the interactive courses from Brilliant! Use my link at https://brilliant.org/ziroth/ for 30 days FREE and 20% off for the first 200 subscribers! In this video we look into the influence of the Fibonacci sequence and the Golden Ratio in the design and efficiency of wind and hydro turbines. Join us as we uncover how these mathematical concepts, deeply rooted in nature, are revolutionizing renewable energy technology. \ud83d\udd17 Relevant Links: Fibonacci and the Golden Ratio: https://plus.maths.org/content/myths-maths-golden-ratio https://www.youtube.com/watch?v=1Jj-sJ78O6M&t=0s Turbine 1: https://www.mdpi.com/2076-3417/12/14/7018 Turbine 2: https://www.sciencedirect.com/science/article/pii/S1876610216311766 Turbine 3: https://www.mdpi.com/1996-1073/7/12/7893 https://thearchimedes.com/ Chapters: 0:00 Intro 1:07 Fibonacci & The Golden Ratio 5:12 Myths and Legends 8:28 Optimising Vertical Turbines 10:03 The Truth of Nature 11:31 Applications from Water to Wind #engineering #breakthrough #turbines #goldenratio