The Golden Ratio (why it is so irrational) - Numberphile

Catch a more in-depth interview with Ben Sparks on our Numberphile Podcast: Check out Brilliant (and get 20% off) by clicking More links & stuff in full description below ↓↓↓ Golden seeds limited edition T-Shirt: More Golden Ratio stuff: More Ben Sparks Numberphile videos: Ben’s Twitter: Ben’s website: Geogebra file Ben used: #material/T8eKzDu5 Watch Ben build (from scratch) the spirally Geogebra visualisation file he uses, on his channel here: Note on this video: Ben uses “one over a number“ quite often during the video to make a fraction of a turn between 0 and 1, but the same effects apply if you turn more than a complete turn (e.g. sqrt(2) = approximately ... of a turn, i.e. 1 whole turn and ... of a further turn). Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. And support from Math For America - NUMBERPHILE Website: Numberphile on Facebook: Numberphile tweets: Subscribe: Videos by Brady Haran Patreon: Brady’s videos subreddit: Brady’s latest videos across all channels: Sign up for (occasional) emails: