Part Three of Golden Ratio Trilogy Why the Lucas Numbers are better than the Fibonacci Sequence. Matt's signed book (& extra goodies): http://bit.ly/Matt_Signed Amazon (UK): http://bit.ly/Matt_4D_UK Amazon (US): http://bit.ly/Matt_4D_US All links to videos in this four-part trilogy: Brady Numbers: http://youtu.be/D8ntDpBm6Ok Proof: http://youtu.be/dTWKKvlZB08 Lucas Numbers: http://youtu.be/PeUbRXnbmms Extra bit: http://youtu.be/bTxiS28M41c NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Google Plus: http://bit.ly/numberGplus Tumblr: http://numberphile.tumblr.com Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady Haran Support us on Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ A run-down of Brady's channels: http://www.bradyharan.com Thumbnail caricature of Lucas by Knut Johannes Håland