# Numberphile

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

1,459,941 views 11 months 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....

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• ### What's so special about the Mandelbrot Set? - Numberphile - Duration: 16 minutes.

• 213,460 views
• 2 days ago
• ### How many ways can circles overlap? - Numberphile - Duration: 9 minutes, 46 seconds.

• 411,470 views
• 6 days ago
• ### 90,525,801,730 Cannon Balls - Numberphile - Duration: 7 minutes, 44 seconds.

• 281,181 views
• 1 week ago
• ### Infinite Series - Numberphile - Duration: 9 minutes, 31 seconds.

• 233,083 views
• 2 weeks ago
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• ### What's special about 277777788888899? - Numberphile - Duration: 14 minutes.

• 568,455 views
• 4 weeks ago
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• ### The Plastic Ratio - Numberphile - Duration: 11 minutes.

• 308,239 views
• 1 month ago
• ### 42 is the new 33 - Numberphile - Duration: 13 minutes.

• 393,136 views
• 1 month ago
• ### A Million Simulated Seasons - Numberphile - Duration: 11 minutes.

• 196,533 views
• 1 month ago
• ### All the Numbers - Numberphile - Duration: 14 minutes.

• 455,475 views
• 1 month ago
• ### A Colorful Unsolved Problem - Numberphile - Duration: 9 minutes, 39 seconds.

• 315,003 views
• 1 month ago
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• ### Heesch Numbers and Tiling - Numberphile - Duration: 9 minutes, 20 seconds.

• 234,278 views
• 1 month ago
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• ### 1010011010 - Numberphile - Duration: 7 minutes, 45 seconds.

• 240,046 views
• 2 months ago
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• ## Popular uploads Play all

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

• 15,977,728 views
• 4 years ago
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• ### Elliptical Pool Table - Numberphile - Duration: 3 minutes, 40 seconds.

• 7,228,264 views
• 3 years ago
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• ### ASTOUNDING: 1 + 2 + 3 + 4 + 5 + ... = -1/12 - Duration: 7 minutes, 50 seconds.

• 7,003,800 views
• 5 years ago
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• ### Infinity is bigger than you think - Numberphile - Duration: 8 minutes.

• 6,126,066 views
• 6 years ago
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• ### Problems with Zero - Numberphile - Duration: 13 minutes.

• 4,014,417 views
• 6 years ago
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• ### The problem in Good Will Hunting - Numberphile - Duration: 4 minutes, 54 seconds.

• 3,951,056 views
• 6 years ago
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• ### 158,962,555,217,826,360,000 (Enigma Machine) - Numberphile - Duration: 11 minutes.

• 3,937,369 views
• 6 years ago
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• ### British Numbers confuse Americans - Numberphile - Duration: 14 minutes.

• 3,851,349 views
• 5 years ago
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• ### Did Usain Bolt REALLY run 100m in 9.63 seconds? - Duration: 7 minutes, 30 seconds.

• 3,782,843 views
• 6 years ago
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• ### 666 - Numberphile - Duration: 11 minutes.

• 3,424,003 views
• 7 years ago
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• ### One minus one plus one minus one - Numberphile - Duration: 11 minutes.

• 3,301,521 views
• 5 years ago
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• ### Zero Factorial - Numberphile - Duration: 7 minutes, 36 seconds.

• 3,236,724 views
• 5 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.
• ### 63 and -7/4 are special - Numberphile - Duration: 12 minutes.

• 1,487,811 views
• 5 years ago
• ### Strange Spinning Tubes - Numberphile - Duration: 12 minutes.

• 413,048 views
• 3 years ago
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• ### Perplexing Paperclips - Numberphile - Duration: 17 minutes.

• 601,937 views
• 2 years ago
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• ### Fix a Wobbly Table (with Math) - Duration: 7 minutes, 22 seconds.

• 1,011,228 views
• 4 years ago
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• ### Billionaire Mathematician - Numberphile - Duration: 18 minutes.

• 1,980,120 views
• 3 years ago
• ### The Most Powerful Dice - Numberphile - Duration: 6 minutes, 34 seconds.

• 425,535 views
• 2 years ago
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• ### How random is a coin toss? - Numberphile - Duration: 7 minutes, 40 seconds.

• 482,026 views
• 4 years ago
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• ### The Best (and Worst) Ways to Shuffle Cards - Numberphile - Duration: 9 minutes, 22 seconds.

• 1,297,149 views
• 4 years ago
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• ### The 'Everything' Formula - Numberphile - Duration: 7 minutes, 10 seconds.

• 1,608,461 views
• 4 years ago
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• ### The Amazing Heptadecagon (17-gon) - Numberphile - Duration: 13 minutes.

• 975,647 views
• 4 years ago
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• ### Winning at Rock Paper Scissors - Numberphile - Duration: 5 minutes, 48 seconds.

• 2,426,145 views
• 4 years ago
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• ### How to always win at Dots and Boxes - Numberphile - Duration: 9 minutes, 45 seconds.

• 1,892,926 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.

• 1,998,618 views
• 4 years ago
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• ### Calculating Pi with Real Pies - Numberphile - Duration: 3 minutes, 14 seconds.

• 801,128 views
• 6 years ago
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• ### How Pi was nearly changed to 3.2 - Numberphile - Duration: 4 minutes, 56 seconds.

• 2,513,698 views
• 6 years ago
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• ### Pi is Beautiful - Numberphile - Duration: 8 minutes, 24 seconds.

• 1,573,721 views
• 5 years ago
• ### Sounds of Pi - Numberphile - Duration: 6 minutes, 28 seconds.

• 577,396 views
• 7 years ago
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• ### Pi and Buffon's Matches - Numberphile - Duration: 6 minutes, 28 seconds.

• 560,579 views
• 7 years ago
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• ### Pi and Bouncing Balls - Numberphile - Duration: 13 minutes.

• 582,539 views
• 7 years ago
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• ### Pi - Numberphile - Duration: 9 minutes, 42 seconds.

• 796,498 views
• 7 years ago
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• ### Pi and the Mandelbrot Set - Numberphile - Duration: 7 minutes, 56 seconds.

• 568,313 views
• 3 years ago
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• ### Pi and the size of the Universe - Numberphile - Duration: 5 minutes, 34 seconds.

• 927,042 views
• 6 years ago
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• ### Pi me a River - Numberphile - Duration: 6 minutes, 28 seconds.

• 323,779 views
• 5 years ago
• ### Pi Prog Rock - Numberphile - Duration: 6 minutes, 28 seconds.

• 246,718 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.

• 400,975 views
• 2 years ago
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• ### New World's Biggest Prime Number (PRINTED FULLY ON PAPER) - Numberphile - Duration: 6 minutes, 39 seconds.

• 739,899 views
• 3 years ago
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• ### How they found the World's Biggest Prime Number - Numberphile - Duration: 12 minutes.

• 1,175,989 views
• 3 years ago
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• ### Twin Prime Conjecture - Numberphile - Duration: 17 minutes.

• 393,651 views
• 2 years ago
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• ### 383 is cool - Numberphile - Duration: 7 minutes, 47 seconds.

• 461,355 views
• 2 years ago
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• ### 5040 and other Anti-Prime Numbers - Numberphile - Duration: 13 minutes.

• 1,346,584 views
• 2 years ago
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• ### Glitch Primes and Cyclops Numbers - Numberphile - Duration: 13 minutes.

• 961,215 views
• 3 years ago
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• ### What do 5, 13 and 563 have in common? - Duration: 6 minutes, 19 seconds.

• 793,624 views
• 4 years ago
• ### Riemann Hypothesis - Numberphile - Duration: 17 minutes.

• 2,898,627 views
• 5 years ago
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• ### Goldbach Conjecture - Numberphile - Duration: 9 minutes, 59 seconds.

• 471,214 views
• 1 year ago
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• ### Fool-Proof Test for Primes - Numberphile - Duration: 3 minutes, 43 seconds.

• 648,301 views
• 5 years ago
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• ### Liar Numbers - Numberphile - Duration: 7 minutes, 9 seconds.

• 787,547 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.

• 172,807 views
• 8 months ago
• ### Earthquakes, Circles and Spheres - Numberphile - Duration: 16 minutes.

• 153,018 views
• 8 months ago
• ### Floating Balls and Lift - Numberphile - Duration: 11 minutes.

• 153,909 views
• 9 months ago
• ### An unexpected way to inflate a balloon - Numberphile - Duration: 5 minutes, 27 seconds.

• 501,204 views
• 1 year ago
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• ### The Trinity Hall Prime - Numberphile - Duration: 3 minutes, 49 seconds.

• 275,338 views
• 1 year ago
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• ### Reflected Cats - Numberphile - Duration: 3 minutes, 30 seconds.

• 297,803 views
• 2 years ago
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• ### Stable Rollers - Numberphile - Duration: 7 minutes, 25 seconds.

• 448,425 views
• 2 years ago
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• ### Binder Clip Climber - Numberphile - Duration: 4 minutes, 19 seconds.

• 399,114 views
• 2 years ago
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• ### Balancing a Ruler - Numberphile - Duration: 5 minutes, 34 seconds.

• 343,563 views
• 2 years ago
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• ### Lace Knot Trick - Numberphile - Duration: 4 minutes, 19 seconds.

• 207,568 views
• 2 years ago
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• ### The Most Powerful Dice - Numberphile - Duration: 6 minutes, 34 seconds.

• 425,535 views
• 2 years ago
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• ### Coffee Cup Vibrations - Numberphile - Duration: 11 minutes.

• 377,803 views
• 2 years ago
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• ## The Numberphile Podcast Play all

• ### The Hope Diamond (with 3blue1brown) - Numberphile Podcast - Duration: 1 hour, 3 minutes.

• 51,397 views
• 4 months ago
• ### Fermat’s Last Theorem (with Ken Ribet) - Numberphile Podcast - Duration: 48 minutes.

• 30,064 views
• 4 months ago
• ### Delicious Problems (with Hannah Fry) - Numberphile Podcast - Duration: 52 minutes.

• 63,123 views
• 4 months ago
• ### The Klein Bottle Guy (with Cliff Stoll) - Numberphile Podcast - Duration: 59 minutes.

• 27,904 views
• 3 months ago
• ### The Math Storyteller (with Simon Singh) - Numberphile Podcast - Duration: 1 hour, 11 minutes.

• 13,455 views
• 2 months ago
• ### Parker Square (with Matt Parker) - Numberphile Podcast - Duration: 52 minutes.

• 25,872 views
• 1 month ago
• ### A Proof in the Drawer - with David Eisenbud - Duration: 1 hour, 15 minutes.

• 12,293 views
• 1 week 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.

• 1,169,350 views
• 4 years ago
• CC
• ### 63 and -7/4 are special - Numberphile - Duration: 12 minutes.

• 1,487,811 views
• 5 years ago
• ### Pi and the Mandelbrot Set - Numberphile - Duration: 7 minutes, 56 seconds.

• 568,313 views
• 3 years ago
• CC
• ### Filled Julia Set - Duration: 6 minutes, 48 seconds.

• 354,055 views
• 4 years ago
• ### Fibonacci Numbers hidden in the Mandelbrot Set - Numberphile - Duration: 10 minutes.

• 459,406 views
• 1 year ago
• CC
• ### Catalan's Conjecture - Numberphile - Duration: 8 minutes, 6 seconds.

• 738,414 views
• 1 year ago
• CC
• ### The Dollar Game - Numberphile - Duration: 11 minutes.

• 312,022 views
• 7 months ago
• ### The Centrifuge Problem - Numberphile - Duration: 9 minutes, 18 seconds.

• 519,479 views
• 4 months 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.

• 281,181 views
• 1 week ago
• ### What's special about 277777788888899? - Numberphile - Duration: 14 minutes.

• 568,455 views
• 4 weeks ago
• CC
• ### All the Numbers - Numberphile - Duration: 14 minutes.

• 455,475 views
• 1 month ago
• ### Squaring Primes - Numberphile - Duration: 13 minutes.

• 569,709 views
• 5 months ago
• ### Golden Ratio BURN (Internet Beef) - Numberphile - Duration: 11 minutes.

• 323,628 views
• 7 months ago
• ### The Square-Sum Problem - Numberphile - Duration: 9 minutes, 7 seconds.

• 424,966 views
• 1 year ago
• ### Strange Spheres in Higher Dimensions - Numberphile - Duration: 10 minutes.

• 458,195 views
• 1 year ago
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• ### Speed Unboxing - Calculator Unboxing #9 - Duration: 15 minutes.

• 258,307 views
• 1 year ago
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• ### A 10,958 Solution - Numberphile - Duration: 6 minutes, 47 seconds.

• 1,180,700 views
• 2 years ago
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• ### The 10,958 Problem - Numberphile - Duration: 8 minutes, 24 seconds.

• 2,150,509 views
• 2 years ago
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• ### 383 is cool - Numberphile - Duration: 7 minutes, 47 seconds.

• 461,355 views
• 2 years ago
• CC
• ### Calculator Unboxing #8 (Printing Digits) - Numberphile - Duration: 8 minutes, 54 seconds.

• 272,786 views
• 2 years ago
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• ## Created playlists

• ### Neil Sloane on Numberphile - Playlist

• Updated 5 days ago

• ### Ben Sparks on Numberphile - Playlist

• Updated 2 days ago

• ### Lisa Goldberg on Numberphile - Playlist

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