Vihart

Part 1: http://youtu.be/ahXIMUkSXX0 Part 3: http://youtu.be/14-NdQwKz9w More on Angle-a-trons: http://www.youtube.com/watch?v=o6W6P8JZW0o Here is a program that draws plant leaves at whatever angle you want: http://www.khanacademy.org/cs/plant-leaves/822940457 Note: Beautiful spirally non-Fibonacci pinecones are very rare! If you find one, keep it. My personal website, which you might like: http://vihart.com

Notes and References: http://youtu.be/POKWkuwoihM Part 1: http://youtu.be/ahXIMUkSXX0 Part 2: http://youtu.be/lOIP_Z_-0Hs How to find the Lucas Angle: http://youtu.be/RRNQAaTVa_A My personal website, which you might like: http://vihart.com

SpongeBob background designer's response: "OK, I guess the jig is up... I'm tired of living a lie." See his full message and pineapple redesign: http://kennypittenger.blogspot.com/2012/01/called-out.html P.S. http://youtu.be/sFTwc8kHSu4 For more on Fibonacci and Plants: http://youtu.be/ahXIMUkSXX0 For more snail: http://youtu.be/xbsAUq_nvxE My personal website, which you might like: http://vihart.com

Slower 60-degree angle, polygon-a-tron, and tetrahedron-a-tron: http://youtu.be/uniqFnmcllE This is a follow-up from Being a Plant part 2: http://youtu.be/lOIP_Z_-0Hs Which comes after part 1: http://www.youtube.com/watch?v=ahXIMUkSXX0 My personal website, which you might like: http://vihart.com

Playing mathematically with fruits by the foot. Mobius Story, Wind and Mr. Ug: http://www.youtube.com/watch?v=4mdEsouIXGM Mobius Candy buttons: http://www.youtube.com/watch?v=OOLIB3cjFqw Mobius Music box: http://www.youtube.com/watch?v=3iMI_uOM_fY Doodling Snakes + Graphs (Useful for drawing Borromean rings): http://youtu.be/heKK95DAKms My personal website, which you might like: http://vihart.com

What other amazing properties of Wau can you think of? Leave them in the comments. My personal website, which you might like: http://vihart.com

How to make snazzy-lookin' fractal equations using simple algebra. For more abacabadabacaba: http://www.abacaba.org/ and http://books.google.com/books?id=QpPlxwSa8akC&pg=PA60&lpg=PA60&dq=abacabadabacaba+%22martin+gardner%22&source=bl&ots=92eAyvrZGV&sig=J2uvF2DAyn9kY8nSarSy-XIXW74&hl=en&sa=X&ei=Np45T4K9GYixiQK92NG2Bg&ved=0CCEQ6AEwAA#v=onepage&q&f=false My personal website, which you might like: http://vihart.com

A follow-up, with examples of numbers that are infinite and non-repeating but don't contain all combinations of digits: http://youtu.be/8PUJvAlD64k Happy Pi Day! Also see: Pi is (still) Wrong: http://youtu.be/jG7vhMMXagQ Pi in Binary Hand Dance: http://youtu.be/OCYZTg3jahU Special thanks to Toby (or not Toby) for playing Dog Hamlet. This cool website lets you search the first 200,000,000 digits of Pi. See if your phone number or encoded name is in there! http://www.angio.net/pi/piquery Seven Sonnets: Are Shakespeare's plays encoded within Pi? The truth is: we don't know, but we suspect They're somewhere in those digits. And now I Will show why we don't know if we're correct. You see, we think the digits do behave As if they were a random sequence, and So many mathematicians tried to brave This question, but we still don't understand. Pi isn't random: each digit must be Exactly what the definition states. It's pseudo-random, far as we can see, But it's the subject of intense debates. Now I'll explain, with this parameter: It's all in iambic pentameter. You may have heard of this scenario: A thousand monkeys type at keyboards 'till They write the works of Shakespeare. Even though, In one life it's a task they can't fulfill. If you allow their kids to carry on, All through the generations working hard, They will evolve before they come upon A single sonnet written by the Bard. But still, the theory's sound! And it is true That with a random and infinite set Of letters, that eventu-ally you Will find whatever words you want to get. However, on this thing you can depend: Before you do, the universe will end. Pi is a number, and that's why I can Completely guarantee no part will be 9-1-3-7-5-2-2-8-ten 4-7-9-H-A-M-L-E-T. You'd have to make up something, like a code Where zero-one is A, Oh-three is C, Or you could also choose some other mode, Oh-2 could be "to be or not to be." But let's go with this sys

A couple examples of how numbers can be infinite and non-repeating, yet still not contain every possible combination of digits (much less with equal frequency!). Re: "Are Shakespeare's Plays Encoded Within Pi?" http://youtu.be/uXoh6vi6J5U It's easy to invent a number that's Irrational, it goes and won't repeat, Yet still won't ever have Macbeth with Cats Or something short and simple as a tweet. Imagine you put 1, then 2, then 1, Then two 2s, one, three twos, one, dot dot dot... It's non-repeating, and never is done. But is there "123" in here? There's not. Take zero, then Oh 1, and then repeat The last two parts together. Oh Oh One. And then repeat the last two parts again. 0-1, 0-0-1. Anyway that's neat, And Pi is still irrational, we're sure. And transcendental. We don't know much more. My personal website, which you might like: http://vihart.com

Point Nine Repeating Equals One! 9.999... reasons in 9.999... minutes. Bonus points if you can name all 9.999... lords a-leaping. Dear YouTube, wouldn't it be nice if I could include the full script with this video? A larger character limit would not be unreasonable. My personal website, which you might like: http://vihart.com

Take that, mathematics! Original Video: http://www.youtube.com/watch?v=TINfzxSnnIE My personal website, which you might like: http://vihart.com

Correction: when I mark where pi is on the graph, I meant pi/2! Note: If this video were supposed to be teaching you, I'd probably have to make it boring and say that in one sense of limits, spoiler alert, you actually do approach a circle and a line, solving the apparent paradox by saying that the invariant of length does not hold over infinity. Luckily I am an artist, and this is a Rhapsody, and instead of "learning," you get to actually think, if you like. My personal website, which you might like: http://vihart.com

A visual and musical expression of mathematical symmetry groups. The transformations done to the video are equivalent to the transformations done to the notes. These type of repeating patterns are called frieze patterns. A couple wallpaper groups are also represented. My personal website, which you might like: http://vihart.com

Pythagoras had a problem with beans and irrationality. What really happened? I don't know! The square root of two is irrational, and beans are delicious. My personal website, which you might like: http://vihart.com

Happy Tau Day! This is a song about Tau! Other Tau things you should see: Pi is (still) Wrong: http://youtu.be/jG7vhMMXagQ What Tau Sounds Like: http://youtu.be/3174T-3-59Q Another Tau song for Piano: http://youtu.be/efM7DFMTp5c The Tau Manifesto: http://tauday.com/ Another cool Tau song: http://youtu.be/uAFU-K4M9Ck My personal website, which you might like: http://vihart.com

Note: accidentally switched Charm and Strange. The original version, wobbliness and inaccuracies and all, is here: http://www.youtube.com/watch?v=5kXdSmAJeu4 We now have found a Higgs-like particle. It is a Boson, we're 5-sigma sure. I read about it in an article, Along with facts a little more obscure. Now here's the mass of our beloved boson: 125.3 gigaelectronvolts, 133 times heavier than a proton. It's like we're seeing the universe's nuts and bolts. The standard model's other bosons are: Photons, gluons, W, and Z. These make the forces found in every star, Plus maybe gravitons for gravity. But what gives mass to heavy things like pigs? It is our new discovery: the Higgs -like particle. My personal website, which you might like: http://vihart.com

Note: I do not actually have interns. That was all just wishful thinking. But I do have very helpful coworkers who I managed to rope into pretending to be my interns! Thank you Arun (boring-drawing-stuff intern), Jace (hand makeup artist), Minli (stunt double and brow dabber), and Stephanie (sharpie control), and thanks Ethan for providing some of the "intern" footage. To see Ethan's video about how I made this video about making this video, go here: http://www.youtube.com/watch?v=z4x5FZyzLyQ My personal website, which you might like: http://vihart.com

A quickly-made muse on the foreword of anthropologist Edmund Snow Carpenter's They "Became What They Beheld," and how it relates to Youtube. This book is out of print. If you're interested, "Oh, What a Blow That Phantom Gave Me," another of his books, can be read online here: http://mediatedcultures.net/phantom/home2.html My personal website, which you might like: http://vihart.com

A dialogue with the number 2, with special guest Brady Haran of Numberphile and other channels! http://www.youtube.com/user/numberphile http://www.youtube.com/user/periodicvideos http://www.youtube.com/user/sixtysymbols My personal website, which you might like: http://vihart.com

Anti-parabola propoganda, plus musing on math class, cardioids, connect the dots, envelopes of lines, even a bit of origami. Another way to get a cardioid is to add up circles like this: http://www.khanacademy.org/cs/sum-of-circles/1021299343 Extra points to a certain Andrea whose line-enveloped Hilbert curve inspired me to finish this video. My personal website, which you might like: http://vihart.com

Hooraaaay flexagons! Happy October. Here's part 2: http://youtu.be/paQ10POrZh8 Hexaflexagon Safety Guide: http://youtu.be/AmN0YyaTD60 Support me on Patreon: https://www.patreon.com/vihart Historical Note: This video is based on a true story. Arthur H. Stone really did invent the hexaflexagon after playing with the paper strips he'd cut off his too-wide British paper, and really did start a flexagon committee (which we'll hear more about in the next video). The details and dialogue, however, are my own invention. This video is based on, and in honor of, Martin Gardner's first Mathematical Games column from 1956, "Hexaflexagons," which can be found here: http://maa.org/pubs/focus/Gardner_Hexaflexagons12_1956.pdf October 21st is Martin Gardner's birthday, which is why every October the recreational mathematics community celebrates his life and work. This year we're having hexaflexagon parties. You can join in too: http://www.puzzles.com/hexaflexagon/ You can find more about hexaflexagons all over the internet. flexagons.net has a lot of patterns for different kinds of flexagons, or here's the wikipedia page: http://en.wikipedia.org/wiki/Flexagon My personal website, which you might like: http://vihart.com

Happy October, Month of the Hexaflexagon! Part 1: http://youtu.be/VIVIegSt81k Hexaflexagon Safety Guide: http://youtu.be/AmN0YyaTD60 Oct. 21st is the annual Celebration of Mind, in honor of Martin Gardner. Maybe you'd like to host or attend a flexagon party sometime around then, or learn about other awesome Martin Gardnery things. Here's the hexaflexagon party website: http://www.puzzles.com/hexaflexagon/ For inspiration, here's pictures and stories from epic events in past years: http://www.puzzles.com/hexaflexagon/aroundtheworld.html This video is based on, and in honor of, Martin Gardner's column from 1956, "Hexaflexagons," which can be found here: http://maa.org/pubs/focus/Gardner_Hexaflexagons12_1956.pdf Historical Note: This video is based on a true story. Arthur H. Stone invented the Hexaflexagon and started a flexagon committee with his friends Tuckerman, Feynman, and Tukey (who all later became well-known in their respective fields). Tuckerman invented the Tuckerman Traverse, and Feynman invented Feynman Diagrams (not to be confused with Feynman Diagrams in physics, which is probably why flexagon diagrams are usually not called Feynman Diagrams anymore). The details of their interactions and dialogue, however, are my own invention. -Feynman stuff is from the biography "Genius," by James Gleik, p. 103-104 -The story of how Gardner learned about flexagons is from "An interview with Martin Gardner" in the June/July 2005 Notices of the AMS, p. 602-611 -Other historical information, including the text and names on some of the letters, are from Gardner's original article: http://maa.org/pubs/focus/Gardner_Hexaflexagons12_1956.pdf Thank you to the G4G-CoM committee for helping track down information, especially John Railing and Stan Isaacs for finding these sources. Also check out flexagon.net, a pretty good resource for patterns for flexagons of many types, and of course the wikipedia page on flexagons: http://en.wikipedia.org/wiki/Flexago

Don't let a flexigatastrophe happen to you! Flex Mex: http://youtu.be/GTwrVAbV56o Happy Hexaflexagon Month, in honor of Martin Gardner. Yes, we've been encouraging recreational use of hexaflexagons and even hexaflexagon parties to happen on Oct. 21, but be sure to flex responsibly. This is my third hexaflexagon video this month. The first two are also awesome. Hexaflexagons: http://youtu.be/VIVIegSt81k Hexaflexagons 2: http://youtu.be/paQ10POrZh8 To learn more about flexagons, Martin Gardner, or hosting a hexaflexagon party, go here: http://www.puzzles.com/hexaflexagon I stole the "hexaflexadyslexia" joke from @matthetube: https://twitter.com/matthetube/status/255446894128529408 I'm @vihartvihart. Happy Flexing! My personal website, which you might like: http://vihart.com

Might as well. My personal website, which you might like: http://vihart.com

I really don't know. Viewer beware. My personal website, which you might like: http://vihart.com

With Thanksgiving just around the corner here in the US, it is important to know how to arrange mathed potatoes on your plate for maximum gravy. Also shown are bread spheres, butter prism, and gelatinous cranberry cylinder. Green Bean Matherole: http://youtu.be/XwIs1nlDQ2I Borromean Onion Rings: http://youtu.be/4tsjCND2ZfM Turduckenen-duckenen: http://youtu.be/pjrI91J6jOw My personal website, which you might like: http://vihart.com

This Thanksgiving, make sure your table isn't missing the all-important green bean matherole. Pick your favorite vector field and have at it! Mathed Potatoes: http://youtu.be/F5RyVWI4Onk Borromean Onion Rings: http://youtu.be/4tsjCND2ZfM Turduckenen-duckenen: http://youtu.be/pjrI91J6jOw My personal website, which you might like: http://vihart.com

Borromean Onion Rings, the perfect way to top your Green Bean Matherole! Borromean onion rings were invented by special guest Marc ten Bosch (http://marctenbosch.com). Also shown are gelatinous cranberry cylinder, bread spheres and butter prism, mathed potatoes, apple pie, and pumpkin tau. Mathed Potatoes: http://youtu.be/F5RyVWI4Onk Green Bean Matherole: http://youtu.be/XwIs1nlDQ2I Turduckenen-duckenen: http://youtu.be/pjrI91J6jOw My personal website, which you might like: http://vihart.com

Forget turducken... I'm stuffing my turkey with two ducks, stuffed with four hens, stuffed with eight quail eggs. Honestly, I do not recommend trying this yourself. So what's your favourite naming scheme: breadth-first, depth-first, or inordered binary tree traversal? Mathed Potatoes: http://youtu.be/F5RyVWI4Onk Green Bean Matherole: http://youtu.be/XwIs1nlDQ2I Borromean Onion Rings: http://youtu.be/4tsjCND2ZfM My personal website, which you might like: http://vihart.com

Unusual variations on the paper snowflake. My personal website, which you might like: http://vihart.com