2018-05-11

[public] 130K views, 4.73K likes, 84.0 dislikes audio only

Mathologer

NEW (Christmas 2019). Two ways to support Mathologer

Mathologer Patreon: https://www.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

http://web.sonoma.edu/Math/faculty/falbo/cmj123-134

George Hart

http://www.georgehart.com/rp/replicator/replicator.html

https://www.youtube.com/channel/UCTl0dASnxto6j2wlVs5Bs2Q

Keith Devlin

http://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

http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fib.html

Thank you very much to Michael (editing), Marty (nitpicking) and Danil (translating).

Enjoy!