The Golden Ratio (why it is so irrational) - Numberphile скачать в хорошем качестве

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

Catch a more in-depth interview with Ben Sparks on our Numberphile Podcast:    • The Happy Twin (with Ben Sparks) - Numberp...   Check out Brilliant (and get 20% off) by clicking https://brilliant.org/numberphile 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:   / sparksmaths   Ben's website: www.bensparks.co.uk Geogebra file Ben used: https://www.geogebra.org/m/YThycjQK#m... Watch Ben build (from scratch) the spirally Geogebra visualisation file he uses, on his channel here:    • The Golden Ratio and Phyllotaxis - Sunflow...   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/outr... And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook:   / numberphile   Numberphile tweets:   / numberphile   Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon:   / numberphile   Brady's videos subreddit:   / bradyharan   Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9