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Hello there.

This is Numberphile. We mainly post videos about mathematics and just numbers in general.

The Golden Ratio (why it is so irrational)

The Golden Ratio (why it is so irrational)

Additional information

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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).

 

 

The Silver Ratio

The Silver Ratio

The Coin Hexagon

The Coin Hexagon