Catch a more in-depth interview with Ben Sparks on our Numberphile Podcast:    • The Happy Twin (with Ben Sparks) - Nu...  
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 - 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).

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