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

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Check out Brilliant (and get 20% off) by clicking https://brilliant.org/numberphile
Featuring Ben Sparks --- More links & stuff in full description below ↓↓↓

Golden seeds limited edition T-Shirt: https://teespring.com/NP-Seeds

More Golden Ratio stuff: http://bit.ly/Golden_Ratio
More Ben Sparks Numberphile videos: http://bit.ly/Sparks_Playlist

Ben's Twitter: https://twitter.com/SparksMaths
Ben's website: www.bensparks.co.uk
Geogebra file Ben used: https://www.geogebra.org/m/YThycjQK#material/T8eKzDu5

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 1.414... of a turn, i.e. 1 whole turn and 0.414... of a further turn).

Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile

We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. https://www.simonsfoundation.org/outreach/science-sandbox/

And support from Math For America - https://www.mathforamerica.org/

NUMBERPHILE
Website: http://www.numberphile.com/
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Numberphile tweets: https://twitter.com/numberphile
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Videos by Brady Haran

Patreon: http://www.patreon.com/numberphile

Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/

Brady's latest videos across all channels: http://www.bradyharanblog.com/

Sign up for (occasional) emails: http://eepurl.com/YdjL9

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