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) - Nu...  
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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 - Su...  

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).

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