Channel: Mathologer

Category: Education

Tags: phicontinued fractiongolden spiralgolden ratioinfinite descenteuler

Description: NEW (Christmas 2019). Two ways to support Mathologer Mathologer Patreon: patreon.com/mathologer Mathologer PayPal: paypal.me/mathologer (see the Patreon page for details) So you all know the golden (ratio) spiral. But did you know that not only the golden ratio but really every number has such a spiral associated with it? And that this spiral provides key insights into the nature of a number. Featuring more proofs by contradiction by infinite descent (my current obsession), infinite continued fractions, etc. Here are some articles that debunk a lot of the golden spiral in nature nonsense: Clement Falbo web.sonoma.edu/Math/faculty/falbo/cmj123-134 George Hart georgehart.com/rp/replicator/replicator.html youtube.com/channel/UCTl0dASnxto6j2wlVs5Bs2Q Keith Devlin devlinsangle.blogspot.com.au/2017/04/fibonacci-and-golden-ratio-madness.html Here is a very good website devoted to everything to do with the golden ratio and Fibonacci maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fib.html Thank you very much to Michael (editing), Marty (nitpicking) and Danil (translating). Enjoy!