Numberphile

Tom Crawford on the mathematics of where river water goes when it hits the sea. See all three Navier-Stokes videos at: http://bit.ly/NavierPlaylist More links & stuff in full description below ↓↓↓ Tom Crawford works at the University of Oxford... more at: https://tomrocksmaths.com Playlist: http://bit.ly/NavierPlaylist Part 1 (Navier-Stokes): https://youtu.be/ERBVFcutl3M Part 2 (Reynolds Number): https://youtu.be/wtIhVwPruwY Rivers with James Grime: https://youtu.be/TUErNWBOkUM 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/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Animation in this video: Pete McPartlan Patreon: http://www.patreon.com/numberphile Numberphile T-Shirts: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9

Sabetta Matsumoto explains her mathematical tattoo. Check out Brilliant (get 20% off their premium service): https://brilliant.org/numberphile (sponsor) More links & stuff in full description below ↓↓↓ Sabetta's Twitter: https://twitter.com/sabetta_ And her group's webpage at Georgia Tech: http://matsumoto.gatech.edu Hyperbolic Sports: https://youtu.be/u6Got0X41pY 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/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Numberphile T-Shirts: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9

42 was the last remaining number below 100 which could not be expressed as the sum of three cubes (*) - UNTIL NOW More links & stuff in full description below ↓↓↓ (*) barring numbers for which this known to be IMPOSSIBLE - see previous videos. See our playlist previous videos on this area of research: http://bit.ly/SumOfCubes Andrew Booker: http://www.bristol.ac.uk/maths/people/andrew-r-booker/overview.html Andrew Sutherland: https://math.mit.edu/directory/profile.php?pid=272 Charity Engine: https://www.charityengine.com 42: https://www.youtube.com/watch?v=D6tINlNluuY Get the T-Shirt: https://teespring.com/42-sum-cubes-numberphile 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/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Numberphile T-Shirts: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9

Second of three videos we're doing on Navier Stokes and related fluid stuff... featuring Tom Crawford. More links & stuff in full description below ↓↓↓ See the first video on Navier-Stokes: https://youtu.be/ERBVFcutl3M And the third video soon... Tom Crawford works at the University of Oxford... more at: https://tomrocksmaths.com Smarter Every Day's color unmixing machine: https://youtu.be/j2_dJY_mIys Also demonstrated by the University of New Mexico: https://youtu.be/p08_KlTKP50 Discuss this video on Brady's subreddit: https://redd.it/czjqvt 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/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Editing and animation: Pete McPartlan Patreon: http://www.patreon.com/numberphile Numberphile T-Shirts: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9

Tom Crawford (sporting a Navier-Stokes tattoo) talks about the famed equations - subject of a $1m Millennium Prize. More links & stuff in full description below ↓↓↓ Tom Crawford works at the University of Oxford... more at: https://tomrocksmaths.com More videos on these topics with Tom very soon. 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/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Animation and edit by Pete McPartlan Freesound credits: rfhache, nicstage, ashfox, inspectorj Patreon: http://www.patreon.com/numberphile Numberphile T-Shirts: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9

Featuring Neil Sloane from the OEIS. Full "Amazing Graphs Trilogy" and extras at: https://www.youtube.com/playlist?list=PLt5AfwLFPxWLkoPqhxvuA8183hh1rBnGM More links & stuff in full description below ↓↓↓ Neil Sloane is founder of the OEIS: https://oeis.org More videos with Neil: http://bit.ly/Sloane_Numberphile Amazing Graphs Part 1: https://youtu.be/pAMgUB51XZA Part 2: https://youtu.be/o8c4uYnnNnc Part 3: https://youtu.be/j0o-pMIR8uk Extra Bit: https://youtu.be/4x2kdLFUSvM Sequences featured in this video include... Stern's: https://oeis.org/A002487 Hofstadter's: https://oeis.org/A005185 And Remy's: https://oeis.org/A279125 Thanks Patrons: Arjun Chakroborty, Ben Delo, Jeff Straathof, Jeremy Buchanan, Andy, Yana Chernobilsky, Christian Cooper, Ken Baron, Bill Shillito, Nat Tyce, Ben, Bernd Sing, Dr Jubal John, Tom Buckingham, Giuseppe Bonaccorso, Adam Gold, Andrei M Burke, Adam Savage, Matthew Schuster, Matheson Bayley, James Bissonette, Robert Donato, john buchan, Steve Crutchfield, Jon Padden, Valentin-Eugen Dobrota, Eric Mumford, Charles Southerland, Arnas, Ian George Walker, Jerome Froelich, Tracy Parry, George Greene, Igor Sokolov, Alfred Wallace, Jussi Suontausta, Bodhisattva Debnath. Back us on Patreon: http://www.patreon.com/numberphile 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/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Editing and animation by Pete McPartlan Numberphile T-Shirts: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9

See Amazing Graphs Part 1 at: https://youtu.be/pAMgUB51XZA Check out Brilliant (get 20% off their premium service): https://brilliant.org/numberphile (sponsor) More links & stuff in full description below ↓↓↓ This video features Neil Sloane, creator of the OEIS: https://oeis.org More videos with Neil: http://bit.ly/Sloane_Numberphile New podcast with Neil Sloane: https://youtu.be/mNk_MfFKnuY Numberphile Podcast on YouTube: http://bit.ly/Numberphile_Pod_Playlist 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/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Editing and animation by Pete McPartlan Patreon: http://www.patreon.com/numberphile Numberphile T-Shirts: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9

Featuring Neil Sloane of OEIS fame. Even more unexpected graphs in our next video. More links & stuff in full description below ↓↓↓ More Neil Sloane videos: http://bit.ly/Sloane_Numberphile Neil is the master and keeper of the On-line Encyclopedia of Integer Sequences: https://oeis.org Sequences in this video included: https://oeis.org/A133058 https://oeis.org/A265326 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/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Animation and editing by Pete McPartlan Patreon: http://www.patreon.com/numberphile Numberphile T-Shirts: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9

A surprising link discussed by Professor Sergei Tabachnikov. Extra footage at: https://youtu.be/MJ1NAzpens4 More links & stuff in full description below ↓↓↓ Sergei Tabachnikov's homepage at Pennsylvania State University : http://www.math.psu.edu/tabachni/ David Eisenbud discussed MSRI during his Numberphile podcast: https://www.youtube.com/watch?v=9y1BGvnTyQA 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/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Animation by Pete McPartlan Patreon: http://www.patreon.com/numberphile Numberphile T-Shirts: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9

It was #3 on Hilbert's list of the most important problems in mathematics - until his student solved it. More links & stuff in full description below ↓↓↓ Featuring Daniel Litt, currently at the Institute for Advanced Study - https://twitter.com/littmath David Hilbert's problems: https://en.wikipedia.org/wiki/Hilbert%27s_problems Max Dehn's famed proof: https://archive.org/details/mathematischean33behngoog/page/n488 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/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Editing and animation by Pete McPartlan Patreon: http://www.patreon.com/numberphile Numberphile T-Shirts: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9

James Grime has a card trick (and wants your help improving it). Get your first audiobook and 2 Audible Originals free when you try Audible for 30 days. Visit http://www.audible.com/numberphile or text numberphile to 500 500. (sponsor) More links & stuff in full description below ↓↓↓ More videos about Card Tricks: http://bit.ly/Cards_Shuffling More James Grime videos: http://bit.ly/grimevideos James Grime: https://www.singingbanana.com 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/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Numberphile T-Shirts: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9

Featuring Professor Noga Alon. More links & stuff in full description below ↓↓↓ Extra footage: https://youtu.be/E-8YvnaumKU Recorded with Noga Alon at Princeton University. Read his necklace paper: https://m.tau.ac.il/~nogaa/PDFS/Publications2/Splitting%20necklaces.pdf Diamond on Periodic Videos: https://youtu.be/EmXe5EDQvsg 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/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Animation by Pete McPartlan Patreon: http://www.patreon.com/numberphile Numberphile T-Shirts: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9

Neil Sloane on the Van Eck Sequence... Check out Brilliant (get 20% off their premium service): https://brilliant.org/numberphile (sponsor) More links & stuff in full description below ↓↓↓ More Neil Sloane: http://bit.ly/Sloane_Numberphile Van Eck sequence on OEIS: https://oeis.org/A181391 Afraid So is by Jeanne Marie Beaumont 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/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Editing and animation by Pete McPartlan Patreon: http://www.patreon.com/numberphile Numberphile T-Shirts: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9

Edmund Harriss introduces a very cool tiling and talks about Tribonacci Numbers. More links & stuff in full description below ↓↓↓ Numberphile Podcast: https://www.numberphile.com/podcast Or on YouTube: http://bit.ly/Numberphile_Pod_Playlist More Edmund on Numberphile: http://bit.ly/Ed_Harriss_Playlist Ed Harriss is online at http://maxwelldemon.com and on Twitter at https://twitter.com/gelada Papers relating to this video... Nombres algébriques et substitutions: http://archive.numdam.org/item/BSMF_1982__110__147_0/ Algebraic numbers, free group automorphisms and substitutions on the plane: https://doi.org/10.1090/S0002-9947-2011-05188-3 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/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Animation and editing by Pete McPartlan Patreon: http://www.patreon.com/numberphile Numberphile T-Shirts: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9

Ben Sparks discusses the math behind a curious problem.... Check out Brilliant (get 20% off their premium service): https://brilliant.org/numberphile (sponsor) More links & stuff in full description below ↓↓↓ Worst Mouse Ever merch (including T-Shirt): https://teespring.com/worst-mouse-ever-numberphile Circling Tactic merch: https://teespring.com/circling-tactic More videos with Ben Sparks: http://bit.ly/Sparks_Playlist Ben's own website: https://www.bensparks.co.uk Animation with GeoGebra: https://www.geogebra.org 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/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Numberphile T-Shirts: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9

Neil Sloane discusses peaceable queens and chess. Check out Brilliant (get 20% off their premium service): https://brilliant.org/numberphile (sponsor) More links & stuff in full description below ↓↓↓ Learn more at the OEIS entry (loads of links): https://oeis.org/A250000 References: Ainley, Stephen. Mathematical Puzzles. London: G Bell & Sons, 1977. Yukun Yao and Doron Zeilberger, Numerical and Symbolic Studies of the Peaceable Queens Problem, https://arxiv.org/abs/1902.05886 Other notable work by Michael De Vlieger, Benoit Jubin, Peter Karpov, Don Knuth, Rob Pratt, Bob Selcoe, Paul Tabatabai. More Numberphile videos with Neil Sloane: http://bit.ly/Sloane_Numberphile More chess-related videos: http://bit.ly/chess_numberphile 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/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Numberphile T-Shirts: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9

Dr James Grime discusses the mathematics of extinction. More links & stuff in full description below ↓↓↓ Extras from this interview: https://youtu.be/zomuAufWXr0 Related but different video on the math of ancestry: https://youtu.be/Fm0hOex4psA More James Grime videos: http://bit.ly/grimevideos James Grime: https://www.singingbanana.com Dice videos: http://bit.ly/Dice_Videos Thanks to the AP Archive: http://www.aparchive.com and https://youtube.com/channel/UCHTK-2W11Vh1V4uwofOfR4w 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/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Numberphile T-Shirts: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9

Dr James Grime discusses ancestry and why we ALL have royal blood. See also our new video on family extinction at: https://youtu.be/z34XhE5oRwo More links & stuff in full description below ↓↓↓ More James Grime videos: http://bit.ly/grimevideos #RoyalBaby James Grime: https://www.singingbanana.com Additional reading on this topic: http://www.stat.yale.edu/~jtc5/papers/Ancestors.pdf http://www.stat.yale.edu/~jtc5/papers/CommonAncestors/NatureCommonAncestors-Article.pdf 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/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Numberphile T-Shirts: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9

The legendary Elwyn Berlekamp died on April 9, 2019. In a final filming session with Numberphile, the games expert taught us how to play Amazons. More links in full description below ↓↓↓ Extras from this interview: https://youtu.be/mTl7W18UwFM Dots & Boxes with Elwyn: https://www.youtube.com/watch?v=KboGyIilP6k Elwyn's own video on Amazons: https://youtu.be/_1NzUMWeU4c Elwyn obituary in Berkeley News: https://news.berkeley.edu/2019/04/18/elwyn-berlekamp-game-theorist-and-coding-pioneer-dies-at-78/ 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/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Numberphile T-Shirts: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9

Featuring Ben Sparks discussing the Mandelbrot Set (and Julia Sets). More links & stuff in full description below ↓↓↓ More videos with Ben: http://bit.ly/Sparks_Playlist Ben Sparks website: https://www.bensparks.co.uk And on Twitter: https://twitter.com/sparksmaths Holly Krieger has done a few Mandelbrot videos on Numberphile... The Mandelbrot Set: https://youtu.be/NGMRB4O922I 63 and -7/4 are special: https://youtu.be/09JslnY7W_k Pi and the Mandelbrot Set: https://youtu.be/d0vY0CKYhPY Fibonacci Numbers hidden in the Mandelbrot Set: https://youtu.be/4LQvjSf6SSw Filled Julia Set: https://youtu.be/oCkQ7WK7vuY Ben was using Geogebra software: https://www.geogebra.org Files from this video: https://www.geogebra.org/m/BUVhcRSv He mentioned the book Chaos by James Gleick: https://amzn.to/2vj8ubP Golden Spiral T-Shirt available in the Numberphile Teespring store: https://teespring.com/stores/numberphile 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/outreach/science-sandbox/ And support from Math For America - https://www.mathforamerica.org/ NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Patreon: http://www.patreon.com/numberphile Numberphile T-Shirts: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9