# Numberphile

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

2,057,061 views 1 year ago
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Featuring Ben Sparks --- 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 website: www.bensparks.co.uk
Geogebra file Ben used: https://www.geogebra.org/m/......

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.simonsfoundatio......

And support from Math For America - https://www.mathforamerica....

NUMBERPHILE
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• ### Approximating Irrational Numbers (Duffin-Schaeffer Conjecture) - Numberphile - Duration: 21 minutes.

• 167,597 views
• 2 days ago
• ### Taking a Turkey’s Temperature - Numberphile - Duration: 7 minutes, 39 seconds.

• 149,580 views
• 1 week ago
• ### The Archimedes Number - Numberphile - Duration: 9 minutes, 16 seconds.

• 209,730 views
• 2 weeks ago
• ### Primes without a 7 - Numberphile - Duration: 13 minutes.

• 219,477 views
• 2 weeks ago
• ### Darts in Higher Dimensions (with 3blue1brown) - Numberphile - Duration: 32 minutes.

• 446,998 views
• 3 weeks ago
• ### Planar Graphs - Numberphile - Duration: 16 minutes.

• 173,726 views
• 1 month ago
• ### TREE vs Graham's Number - Numberphile - Duration: 23 minutes.

• 327,047 views
• 1 month ago
• ### The Forgotten Flexagon - Numberphile - Duration: 12 minutes.

• 264,558 views
• 1 month ago
• ### Where Does River Water Go? - Numberphile - Duration: 15 minutes.

• 195,006 views
• 2 months ago
• ### The Girl with the Hyperbolic Helicoid Tattoo - Numberphile - Duration: 10 minutes.

• 185,580 views
• 2 months ago
• ### 3 as the sum of the 3 cubes - Numberphile - Duration: 13 minutes.

• 210,161 views
• 2 months ago
• ### The Mystery of 42 is Solved - Numberphile - Duration: 5 minutes, 3 seconds.

• 520,144 views
• 3 months ago
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• ## Popular uploads Play all

• ### The Scientific Way to Cut a Cake - Numberphile - Duration: 5 minutes, 9 seconds.

• 16,175,483 views
• 5 years ago
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• ### Elliptical Pool Table - Numberphile - Duration: 3 minutes, 40 seconds.

• 8,053,659 views
• 4 years ago
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• ### ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12 - Duration: 7 minutes, 50 seconds.

• 7,380,150 views
• 5 years ago
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• ### Infinity is bigger than you think - Numberphile - Duration: 8 minutes.

• 6,405,900 views
• 7 years ago
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• ### Problems with Zero - Numberphile - Duration: 13 minutes.

• 4,473,488 views
• 7 years ago
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• ### The problem in Good Will Hunting - Numberphile - Duration: 4 minutes, 54 seconds.

• 4,446,363 views
• 6 years ago
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• ### 158,962,555,217,826,360,000 (Enigma Machine) - Numberphile - Duration: 11 minutes.

• 4,227,260 views
• 6 years ago
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• ### British Numbers confuse Americans - Numberphile - Duration: 14 minutes.

• 4,160,301 views
• 6 years ago
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• ### The Josephus Problem - Numberphile - Duration: 13 minutes.

• 3,946,620 views
• 3 years ago
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• ### Did Usain Bolt REALLY run 100m in 9.63 seconds? - Duration: 7 minutes, 30 seconds.

• 3,846,163 views
• 7 years ago
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• ### One minus one plus one minus one - Numberphile - Duration: 11 minutes.

• 3,581,944 views
• 6 years ago
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• ### 666 - Numberphile - Duration: 11 minutes.

• 3,545,080 views
• 7 years ago
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• ## Director's Cut on Numberphile Play all

The Mathematical Sciences Research Institute's director, Professor David Eisenbud, picked some of his favourite videos.
• ### What's so special about the Mandelbrot Set? - Numberphile - Duration: 16 minutes.

• 712,029 views
• 7 months ago
• ### 63 and -7/4 are special - Numberphile - Duration: 12 minutes.

• 1,644,545 views
• 5 years ago
• ### Strange Spinning Tubes - Numberphile - Duration: 12 minutes.

• 455,870 views
• 3 years ago
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• ### Perplexing Paperclips - Numberphile - Duration: 17 minutes.

• 677,698 views
• 3 years ago
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• ### Fix a Wobbly Table (with Math) - Duration: 7 minutes, 22 seconds.

• 1,040,303 views
• 5 years ago
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• ### Billionaire Mathematician - Numberphile - Duration: 18 minutes.

• 2,394,586 views
• 4 years ago
• ### The Most Powerful Dice - Numberphile - Duration: 6 minutes, 34 seconds.

• 513,283 views
• 3 years ago
• CC
• ### How random is a coin toss? - Numberphile - Duration: 7 minutes, 40 seconds.

• 498,006 views
• 4 years ago
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• ### The Best (and Worst) Ways to Shuffle Cards - Numberphile - Duration: 9 minutes, 22 seconds.

• 1,470,805 views
• 4 years ago
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• ### The 'Everything' Formula - Numberphile - Duration: 7 minutes, 10 seconds.

• 1,767,631 views
• 4 years ago
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• ### The Amazing Heptadecagon (17-gon) - Numberphile - Duration: 13 minutes.

• 1,094,803 views
• 4 years ago
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• ### Winning at Rock Paper Scissors - Numberphile - Duration: 5 minutes, 48 seconds.

• 2,610,684 views
• 4 years ago
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• ## Pi on Numberphile Play all

Numberphile videos about the most famous ratio of all - Pi.
• ### Mile of Pi - Numberphile - Duration: 6 minutes, 28 seconds.

• 2,023,144 views
• 5 years ago
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• ### Calculating Pi with Real Pies - Numberphile - Duration: 3 minutes, 14 seconds.

• 817,409 views
• 6 years ago
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• ### How Pi was nearly changed to 3.2 - Numberphile - Duration: 4 minutes, 56 seconds.

• 2,800,905 views
• 6 years ago
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• ### Pi is Beautiful - Numberphile - Duration: 8 minutes, 24 seconds.

• 1,619,502 views
• 5 years ago
• ### Sounds of Pi - Numberphile - Duration: 6 minutes, 28 seconds.

• 586,235 views
• 7 years ago
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• ### Pi and Buffon's Matches - Numberphile - Duration: 6 minutes, 28 seconds.

• 574,377 views
• 7 years ago
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• ### Pi and Bouncing Balls - Numberphile - Duration: 13 minutes.

• 596,213 views
• 7 years ago
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• ### Pi - Numberphile - Duration: 9 minutes, 42 seconds.

• 823,865 views
• 7 years ago
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• ### Pi and the Mandelbrot Set - Numberphile - Duration: 7 minutes, 56 seconds.

• 618,628 views
• 4 years ago
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• ### Pi and the size of the Universe - Numberphile - Duration: 5 minutes, 34 seconds.

• 958,841 views
• 6 years ago
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• ### Pi me a River - Numberphile - Duration: 6 minutes, 28 seconds.

• 330,175 views
• 5 years ago
• ### Pi Prog Rock - Numberphile - Duration: 6 minutes, 28 seconds.

• 250,443 views
• 5 years ago
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• ## Prime Numbers on Numberphile Play all

Some of our videos featuring prime numbers
• ### RSA-129 - Numberphile - Duration: 9 minutes, 40 seconds.

• 418,009 views
• 2 years ago
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• ### New World's Biggest Prime Number (PRINTED FULLY ON PAPER) - Numberphile - Duration: 6 minutes, 39 seconds.

• 762,201 views
• 3 years ago
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• ### How they found the World's Biggest Prime Number - Numberphile - Duration: 12 minutes.

• 1,334,941 views
• 3 years ago
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• ### Twin Prime Conjecture - Numberphile - Duration: 17 minutes.

• 465,446 views
• 2 years ago
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• ### 383 is cool - Numberphile - Duration: 7 minutes, 47 seconds.

• 488,949 views
• 2 years ago
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• ### 5040 and other Anti-Prime Numbers - Numberphile - Duration: 13 minutes.

• 1,522,854 views
• 3 years ago
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• ### Glitch Primes and Cyclops Numbers - Numberphile - Duration: 13 minutes.

• 1,146,046 views
• 4 years ago
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• ### What do 5, 13 and 563 have in common? - Duration: 6 minutes, 19 seconds.

• 832,330 views
• 5 years ago
• ### Riemann Hypothesis - Numberphile - Duration: 17 minutes.

• 3,418,059 views
• 5 years ago
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• ### Goldbach Conjecture - Numberphile - Duration: 9 minutes, 59 seconds.

• 558,840 views
• 2 years ago
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• ### Fool-Proof Test for Primes - Numberphile - Duration: 3 minutes, 43 seconds.

• 711,167 views
• 5 years ago
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• ### Liar Numbers - Numberphile - Duration: 7 minutes, 9 seconds.

• 853,036 views
• 5 years ago
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• ## Tadashi Tokieda on Numberphile Play all

Featuring Tadashi's many and varied toys ---
• ### Balls and Cones - Numberphile - Duration: 5 minutes, 35 seconds.

• 195,877 views
• 1 year ago
• ### Earthquakes, Circles and Spheres - Numberphile - Duration: 16 minutes.

• 175,735 views
• 1 year ago
• ### Floating Balls and Lift - Numberphile - Duration: 11 minutes.

• 184,423 views
• 1 year ago
• ### An unexpected way to inflate a balloon - Numberphile - Duration: 5 minutes, 27 seconds.

• 518,571 views
• 2 years ago
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• ### The Trinity Hall Prime - Numberphile - Duration: 3 minutes, 49 seconds.

• 285,308 views
• 2 years ago
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• ### Reflected Cats - Numberphile - Duration: 3 minutes, 30 seconds.

• 304,766 views
• 2 years ago
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• ### Stable Rollers - Numberphile - Duration: 7 minutes, 25 seconds.

• 571,913 views
• 2 years ago
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• ### Binder Clip Climber - Numberphile - Duration: 4 minutes, 19 seconds.

• 870,489 views
• 2 years ago
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• ### Balancing a Ruler - Numberphile - Duration: 5 minutes, 34 seconds.

• 350,445 views
• 2 years ago
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• ### Lace Knot Trick - Numberphile - Duration: 4 minutes, 19 seconds.

• 213,393 views
• 3 years ago
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• ### The Most Powerful Dice - Numberphile - Duration: 6 minutes, 34 seconds.

• 513,283 views
• 3 years ago
• CC
• ### Coffee Cup Vibrations - Numberphile - Duration: 11 minutes.

• 422,677 views
• 3 years ago
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• ## The Numberphile Podcast Play all

You can also find us on your podcast player - search Numberphile!
• ### The Hope Diamond (with 3blue1brown) - Numberphile Podcast - Duration: 1 hour, 3 minutes.

• 74,473 views
• 11 months ago
• ### Fermat’s Last Theorem (with Ken Ribet) - Numberphile Podcast - Duration: 48 minutes.

• 38,190 views
• 11 months ago
• ### Delicious Problems (with Hannah Fry) - Numberphile Podcast - Duration: 52 minutes.

• 82,562 views
• 11 months ago
• ### The Klein Bottle Guy (with Cliff Stoll) - Numberphile Podcast - Duration: 59 minutes.

• 38,332 views
• 11 months ago
• ### The Math Storyteller (with Simon Singh) - Numberphile Podcast - Duration: 1 hour, 11 minutes.

• 19,193 views
• 10 months ago
• ### Parker Square (with Matt Parker) - Numberphile Podcast - Duration: 52 minutes.

• 33,862 views
• 9 months ago
• ### A Proof in the Drawer (with David Eisenbud) - Numberphile Podcast - Duration: 1 hour, 15 minutes.

• 29,407 views
• 8 months ago
• ### The Offensive Lineman (with John Urschel) - Numberphile Podcast - Duration: 36 minutes.

• 8,938 views
• 6 months ago
• ### The Singing Banana (with James Grime) - Numberphile Podcast - Duration: 1 hour, 13 minutes.

• 31,866 views
• 6 months ago
• ### The C-Word (talking Calculus with Steven Strogatz) - Numberphile Podcast - Duration: 51 minutes.

• 11,880 views
• 5 months ago
• ### The Number Collector (with Neil Sloane) - Numberphile Podcast - Duration: 55 minutes.

• 15,150 views
• 3 months ago
• ### Fame and Admiration (with Timothy Gowers) - Numberphile Podcast - Duration: 54 minutes.

• 6,221 views
• 1 month ago
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• ## Holly Krieger on Numberphile Play all

Videos featuring Holly Krieger --- https://www.dpmms.cam.ac.uk/~hk439/
• ### The Mandelbrot Set - Numberphile - Duration: 9 minutes, 11 seconds.

• 1,273,571 views
• 5 years ago
• CC
• ### 63 and -7/4 are special - Numberphile - Duration: 12 minutes.

• 1,644,545 views
• 5 years ago
• ### Pi and the Mandelbrot Set - Numberphile - Duration: 7 minutes, 56 seconds.

• 618,628 views
• 4 years ago
• CC
• ### Filled Julia Set - Duration: 6 minutes, 48 seconds.

• 381,953 views
• 5 years ago
• ### Fibonacci Numbers hidden in the Mandelbrot Set - Numberphile - Duration: 10 minutes.

• 529,672 views
• 2 years ago
• CC
• ### Catalan's Conjecture - Numberphile - Duration: 8 minutes, 6 seconds.

• 984,026 views
• 1 year ago
• CC
• ### The Dollar Game - Numberphile - Duration: 11 minutes.

• 385,680 views
• 1 year ago
• ### The Centrifuge Problem - Numberphile - Duration: 9 minutes, 18 seconds.

• 647,103 views
• 1 year ago
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• ## Matt Parker (standupmaths) on Numberphile Play all

Videos featuring Matt Parker --- http://standupmaths.com/
• ### 90,525,801,730 Cannon Balls - Numberphile - Duration: 7 minutes, 44 seconds.

• 401,442 views
• 8 months ago
• ### What's special about 277777788888899? - Numberphile - Duration: 14 minutes.

• 908,250 views
• 8 months ago
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• ### All the Numbers - Numberphile - Duration: 14 minutes.

• 703,426 views
• 9 months ago
• ### Squaring Primes - Numberphile - Duration: 13 minutes.

• 798,212 views
• 1 year ago
• ### Golden Ratio BURN (Internet Beef) - Numberphile - Duration: 11 minutes.

• 375,942 views
• 1 year ago
• ### The Square-Sum Problem - Numberphile - Duration: 9 minutes, 7 seconds.

• 457,506 views
• 1 year ago
• ### Strange Spheres in Higher Dimensions - Numberphile - Duration: 10 minutes.

• 532,180 views
• 2 years ago
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• ### Speed Unboxing - Calculator Unboxing #9 - Duration: 15 minutes.

• 268,799 views
• 2 years ago
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• ### A 10,958 Solution - Numberphile - Duration: 6 minutes, 47 seconds.

• 1,355,108 views
• 2 years ago
• CC
• ### The 10,958 Problem - Numberphile - Duration: 8 minutes, 24 seconds.

• 2,583,539 views
• 2 years ago
• CC
• ### 383 is cool - Numberphile - Duration: 7 minutes, 47 seconds.

• 488,949 views
• 2 years ago
• CC
• ### Calculator Unboxing #8 (Printing Digits) - Numberphile - Duration: 8 minutes, 54 seconds.

• 285,856 views
• 3 years ago
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• ## Created playlists

• ### Federico Ardila on Numberphile - Playlist

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