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The Infinite Pattern That Never Repeats

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  • The Infinite Pattern That Never Repeats

    21:12

    Simple rules of geometry meant that 5-fold symmetry was impossible as were crystals without a periodic structure. This turns out to be wrong. Thanks to LastPass for sponsoring a portion of this video. Click here to start using LastPass:

    Huge thanks to Prof. Paul Steinhardt for the interview on this topic. Check out his book ‘The Second Kind of Impossible’

    If you'd like to learn more about Penrose tilings, go check out Penrose Tiles to Trapdoor Ciphers by Martin Gardener, which helped my research for this video.

    Filmed by Gene Nagata (Potato Jet on YouTube)
    Animations by Iván Tello and Jonny Hyman
    Editing, Coloring, Music & Audio mastering by Jonny Hyman

    Prague scenes filmed in 2012.
    Special thanks to Raquel Nuno for helping with the tilings!

    Additional Music from Epidemic Sound

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  • Infinite Chocolate Bar Trick

    2:16

    Subscribe to my new channel about cats:
    Please help me to reach 100,000 subscribers! Infinite Chocolate Bar Trick EXPLAINED:
    How the Infinite Chocolate Bar Trick works? Endless Chocolate Bar. How to Explain the Infinite Chocolate Trick? Never ending Chocolate Bar. Chocolate Magic. Infinite Chocolate optical illusion with an extra piece of chocolate.

    By Crazy Russian Official

    Feel free to leave a like and subscribe!

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  • This equation will change how you see the world

    18:39

    The logistic map connects fluid convection, neuron firing, the Mandelbrot set and so much more. Fasthosts Techie Test competition is now closed! Learn more about Fasthosts here: Code for interactives is available below...

    Animations, coding, interactives in this video by Jonny Hyman ????
    Try the code yourself:

    References:
    James Gleick, Chaos
    Steven Strogatz, Nonlinear Dynamics and Chaos

    May, R. Simple mathematical models with very complicated dynamics. Nature 261, 459–467 (1976).

    Robert Shaw, The Dripping Faucet as a Model Chaotic System


    Crevier DW, Meister M. Synchronous period-doubling in flicker vision of salamander and man.
    J Neurophysiol. 1998 Apr;79(4):1869-78.

    Bing Jia, Huaguang Gu, Li Li, Xiaoyan Zhao. Dynamics of period-doubling bifurcation to chaos in the spontaneous neural firing patterns Cogn Neurodyn (2012) 6:89–106 DOI 10.1007/s11571-011-9184-7

    A Garfinkel, ML Spano, WL Ditto, JN Weiss. Controlling cardiac chaos
    Science 28 Aug 1992: Vol. 257, Issue 5074, pp. 1230-1235 DOI: 10.1126/science.1519060

    R. M. May, D. M. G. Wishart, J. Bray and R. L. Smith Chaos and the Dynamics of Biological Populations
    Source: Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 413, No. 1844, Dynamical Chaos (Sep. 8, 1987), pp. 27-44

    Chialvo, D., Gilmour Jr, R. & Jalife, J. Low dimensional chaos in cardiac tissue. Nature 343, 653–657 (1990).

    Xujun Ye, Kenshi Sakai. A new modified resource budget model for nonlinear dynamics in citrus production. Chaos, Solitons and Fractals 87 (2016) 51–60

    Libchaber, A. & Laroche, C. & Fauve, Stephan. (1982). Period doubling cascade in mercury, a quantitative measurement. 43. 10.1051/jphyslet:01982004307021100.

    Special thanks to Patreon Supporters:
    Alfred Wallace, Arjun Chakroborty, Bryan Baker, DALE HORNE, Donal Botkin, halyoav, James Knight, Jasper Xin, Joar Wandborg, Lee Redden, Lyvann Ferrusca, Michael Krugman, Pindex, Ron Neal, Sam Lutfi, Tige Thorman, Vincent

    Special thanks to:
    Henry Reich for feedback on earlier versions of this video
    Raquel Nuno for enduring many earlier iterations (including parts she filmed that were replaced)
    Dianna Cowern for title suggestions and saying earlier versions weren't good
    Heather Zinn Brooks for feedback on an earlier version.


    Music from:
    What We Discovered A Sound Foundation 1 Seaweed Colored Spirals 4

    Busy World Children of Mystery

  • Deepest Mandelbrot Set Zoom Animation ever - a New Record! 10^275

    5:12

    Music is Research Lab by Dark Flow ( )

    Read more geeky details and download the full-resolution video at

    Details:
    The final magnification is 2.1x10^275 (or 2^915). I believe that this is the deepest zoom animation of the Mandelbrot set produced to date (January 2010).

    Each frame was individually rendered at 640x480 resolution and strung together at 30 frames per second. No frame interpolation was used. All images were lovingly rendered by 12 CPU cores running 24/7 for 6 months.

    Self-similarity (mini-brots) can be seen at 1:16, 2:30, and at the end 5:00.

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  • How Does a Real-Life Escherian Staircase Work?

    5:48

    In this video I show you a 3d printed infinite staircase also called an Escherian staircase after M.C Escher. I talk about how this staircase can actually be possible in Nil space using non-euclidean geometry.

    Ascending in Nil Video:
    Jabril's Channel:
    Infinite Staircase Model for 3D Printing:

    Get Your Experiment Box Here:
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    Gömböc—The Shape That Shouldn't Exist


    Shooting a Nerf Gun Backwards While Driving At The Bullet's Speed Forward


    Superhydrophobic Knife Slices Water Drops in Half


    Real-Life Invisibility Cloak Can Hide Anything! How Does It Work?


    What's Inside the Worlds' Fastest Heat Conductor?


    Can You Use Umbrellas Instead of a Parachute?


    Opening a Bottle of Liquid Nitrogen Under Water!


    Warning: DO NOT TRY—Seeing How Close I Can Get To a Drop of Neutrons


    *Any experiment you try is at YOUR OWN RISK. The Action Lab assumes no responsibility for any injury if you attempt anything you see in this video or on The Action Lab channel.

  • Infinite Patterns

    3:51

    A SHORT ANIMATION BY CRISTÓBAL VILA
    For more info and licensing go to
    Music: “Heartbeat” by Cedric Baravaglio (2012), from the album Atmostra III
    Concept and Images by Cristóbal Vila

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  • A Trip to Infinity - Mandelbrot Fractal Zoom

    2:00

    The happiest ultra-deep Mandelbrot ever made! An enormous amount of CPU time went into producing this Mandelbrot zoom, diving to a depth of 1.2e1077 in stunning 4k 60fps! I hope you enjoy it! I find bright and vibrant colours to be a personal challenge to create. Please hit subscribe!

    Matching music to this was also challenging, I think it will work for most people, but if not please load up Spotify and play your own in the background. This video is has some really nice parts, so it is worth sticking around. (Please refrain from complaining about music, I simply can't cater to everyone's taste).

    Some people ask what happens when you go past a minibrot, well today you can find out. We cruise past a minbrot at a depth of 2e68 (07:30). Passing this minibrot has an effect on the rest of the zoom, and we occasionally pass really dense areas as a result (like 21:15). We drop into out first spiral at a depth of 3e121 (13:22). Of course, as with any Ultra deep zoom, things get pretty towards the end.

    Location information:

    @dumbledog has named the final minibrot Rupert. Leave a comment if you make it all the way to meet him.

    The Mandelbrot Set Explained:

    Thank-you to my supporters on Patreon.


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    Music from Epidemic Sound:
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    Counting The Hours - Tomas Skyldeberg
    By the Shore - Tomas Skyldeberg
    Winterlake - Tomas Skyldeberg

  • The Banach–Tarski Paradox

    24:14

    Want more brain food? Want your house to become a museum? Now you're thinking:

    Q: What's an anagram of Banach-Tarski?
    A: Banach-Tarski Banach-Tarski.

    twitter:
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    Kevin’s Field Day video:

    Field Day:

    Deep dream animation by

    If you like it, you'll love this video also by Nader:

    Chocolate illusion:

    Chocolate illusion video:

    related Numberphile videos:

    sizes of infinity (includes diagonal argument):
    infinity paradoxes:

    Vi Hart on types of infinity:
    Countable & uncountable definitions:





    Banach-Tarski on wikipedia:

    Banach-Tarski proofs:





    Banach-Tarski explinations online:













    Cayley graph animated gif:

    Hilbert’s hotel on wikipedia:

    types of infinity:

    set theory and quantum physics:

    LHC gif:

    Zermelo-Fraenkel axioms of mathematics:

    Is math invented or discovered?




    more deep dream images:

    BOOKS:

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  • Roger Penrose - Forbidden crystal symmetry in mathematics and architecture

    58:14

    Sir Roger Penrose provides a unique insight into the forbidden symmetry of his famous penrose tiles and the use of non-repeating patterns in design and architecture.

    It is a rigorous mathematical theorem that the only crystallographic symmetries are 2-fold, 3-fold, 4-fold, and 6-fold symmetries.

    Yet, since the 1970s 5-fold, 8-fold, 10-fold and 12-fold almost symmetric patterns have been exhibited, showing that such crystallographically forbidden symmetries are mathematically possible and deviate from exact symmetry by an arbitrarily small amount. Such patterns are often beautiful to behold and designs based on these arrangements have now been used in many buildings throughout the world.

    In this Ri event Sir Roger Penrose reveals the mathematical underpinnings and origins of these forbidden symmetries and other related patterns. His talk is illustrated with numerous examples of their use in architectural design including a novel version of Penrose tiling that appears in the approach to the main entrance of the new Mathematics Institute in Oxford, officially opened in late 2013 (

    The tiling is constructed from several thousand diamond-shaped granite tiles of just two different shapes, decorated simply with circular arcs of stainless steel. The matching of the tiles forces them into an overall pattern which never repeats itself and exhibits remarkable aspects of 5-fold and 10-fold symmetry.

    Similar features have been found also in the atomic structures of quasi-crystalline materials. The initial discovery of such material earned Dan Shectman the 2011 Nobel Prize for chemistry, his work having launched a completely novel area of crystallography.

    Images of the completed Mathematics Institute in Oxford courtesy of Vanesa Penrose.

    The filming and production of this event was supported by the Science and Technology Facilities Council: Production by Edward Prosser. Additional camera operation by Mark Billy Svensson.

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  • Gömböc—The Shape That Shouldnt Exist

    5:02

    In this video I show you a Gömböc. This is a shape that has only two equilibrium points—one stable and one unstable, instead of the usual minimum of 4. It is self-righting no matter how you set it down.

    .STL file for the Gömböc:

    Checkout my experiment book:
    Follow me on Twitter:
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    Watch other popular videos from my channel
    Shooting a Nerf Gun Backwards While Driving At The Bullet's Speed Forward


    Superhydrophobic Knife Slices Water Drops in Half


    Real-Life Invisibility Cloak Can Hide Anything! How Does It Work?


    What's Inside the Worlds' Fastest Heat Conductor?


    Can You Use Umbrellas Instead of a Parachute?


    Opening a Bottle of Liquid Nitrogen Under Water!


    Warning: DO NOT TRY—Seeing How Close I Can Get To a Drop of Neutrons


    *Any experiment you try is at YOUR OWN RISK. The Action Lab assumes no responsibility for any injury if you attempt anything you see in this video or on The Action Lab channel.

  • Math Antics - Number Patterns

    13:53

    Learn More at mathantics.com
    Visit for more Free math videos and additional subscription based content!

  • The Most Common Cognitive Bias

    4:44

    Can you figure out the rule?
    Did you see the exponents pattern?
    Why do you make people look stupid?

    How do you investigate hypotheses? Do you seek to confirm your theory - looking for white swans? Or do you try to find black swans? I was startled at how hard it was for people to investigate number sets that didn't follow their hypotheses, even when their method wasn't getting them anywhere.

    In the video I say when people came to Australia... by which I meant, when Europeans who believed all swans were white came to Australia... I did not mean any offence to Indigenous Australians who were already in Australia at that time. Please accept my apologies for the poor phrasing if you were offended by it.

    This video was inspired by The Black Swan by Nassim Taleb and filmed by my mum. Thanks mum!

    Partly my motivation came from responses to my Facebook videos - social media marketers saying 'Facebook ads have worked for me so there can't be fake likes.' Just because you have only seen white swans, doesn't mean there are no black ones. And in fact marketers are only looking for white swans. They think it was invalid of me to make the fake Virtual Cat page: 'well of course if it's a low quality page you're going to get low quality likes.' But my point is this is black swan bait, something they would never make because their theory is confident in the exclusive existence of white swans.

  • The Most Misleading Patterns in Mathematics | This is Why We Need Proofs

    7:53

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  • How An Infinite Hotel Ran Out Of Room

    6:07

    If there's a hotel with infinite rooms, could it ever be completely full? Could you run out of space to put everyone? The surprising answer is yes -- this is important to know if you're the manager of the Hilbert Hotel.

    ▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀

    References: Ewald, W., & Sieg, W. (2013). David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1917-1933. Springer Berlin Heidelberg. --

    Gamow, G. (1988). One, two, three--infinity: facts and speculations of science. Courier Corporation. --

    ▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀

    Special thanks to Patreon supporters: Paul Peijzel, Crated Comments, Anna, Mac Malkawi, Michael Schneider, Oleksii Leonov, Jim Osmun, Tyson McDowell, Ludovic Robillard, jim buckmaster, fanime96, Juan Benet, Ruslan Khroma, Robert Blum, Richard Sundvall, Lee Redden, Vincent, Marinus Kuivenhoven, Alfred Wallace, Arjun Chakroborty, Joar Wandborg, Clayton Greenwell, Pindex, Michael Krugman, Cy 'kkm' K'Nelson, Sam Lutfi, Ron Neal

    ▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀

    Animation by JD Pounds and Jonny Hyman
    Thumbnail by Iván Tello
    Music by Jonny Hyman and from Epidemic Sound and E's Jammy Jams (Hotel Lavish - Radio Nights, Steps in Time - Golden Age Radio, What Now - Golden Age Radio, Book Bag - E's Jammy Jams, Arabian Sand - E's Jammy Jams, Firefly in a Fairytale - Gareth Coker)
    Written By Derek Muller and Alex Kontorovich
    Sound Design by Jonny Hyman

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  • 21. Chaos and Reductionism

    1:37:33

    (May 19, 2010) Professor Robert Sapolsky gives what he calls one of the most difficult lectures of the course about chaos and reductionism. He references a book that he assigned to his students. This lecture focuses on reduction science and breaking things down to their component parts in order to understand them best.

    Stanford University:


    Stanford Department of Biology:


    Stanford University Channel on YouTube:

  • How to Create Seamless Patterns in Illustrator

    11:40

    Pick up the leaves + flourishes vector kit mentioned in the tutorial here!

    For more design tutorials + freebies, head over to my blog,

    You can also follow along on Facebook:

    Twitter:

    and I'm now on instagram:

    Thanks for watching!

  • The Zipf Mystery

    21:05

    The of and to. A in is I. That it, for you, was with on. As have ... but be they.
    RELATED LINKS AND SOURCES BELOW!




    WordCount.org

    How many days have you been alive?

    random letter generator:

    Dictionary of Obscure Sorrows:

    Word frequency resources:

    [lemmatized]







    [PDF]
    [combined Wikipedia and Gutenberg]






    Great Zipf's law papers:






    Zipf’s law articles and discussions:














    other Zipf’s law PDFs







    in untranslated language:






    Zipf’s law slides:



    Pareto Principle and related ‘laws’:





    Random typing and Zipf:



    health 80/20:

    Principle of least effort:



    [PDF]


    self organized criticality:



    Hapax Legomenon:




    [PDF]




    Learning curve:

    Forgetting curve:



    Experience curve effects:

    Forgetting

    and zipf's law:





    music from:


  • This completely changed the way I see numbers | Modular Arithmetic Visually Explained

    20:33

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  • Blender - Easy Infinite Loop animation in Eevee Blender 2.81

    12:03

    In this Blender 2.81 tutorial i will break down a highly requested tutorial. I have a lot of really cool tips and tricks in this one so i hope you enjoy!

    Patreon -

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    website - nathanduck.com

  • Pi - Numberphile

    9:42

    Our Pi Playlist (more videos):
    Some stuff about Pi, the celebrity number'.
    More links & stuff in full description below ↓↓↓

    This video features maths-loving author Alex Bellos ( and Professor Roger Bowley from the University of Nottingham.

    Alex's brilliant book can be found at...
    UK:
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    OUR PI VIDEOS ---
    ALEX BELLOS AND ROGER DISCUSS ITS HISTORY

    BOUNCING BALLS AND A STRANGE PROPERTY

    MATCHES HELP FIND PI

    THE SOUND OF PI


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  • What Is A Fractal ?

    4:13

    Fractals are complex, never-ending patterns created by repeating mathematical equations. Yuliya, a undergrad in Math at MIT, delves into their mysterious properties and how they can be found in technology and nature.

    Learn more about all the stuff that MIT is doing and researching with fractals here:
    ----------
    Find us online!
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    made with love at MIT
    Creative Commons: CC BY-NC-SA, MIT

    Hosted by: Yuliya Klochan
    Written by: Elizabeth Choe & Yuliya Klochan
    Additional Scripting by: George Zaidan
    Content Reviewer: Dr. Kwang Don Choe

    Executive Producer & Doodles: Elizabeth Choe
    Director: George Zaidan
    Camera: Adam Morrell
    Editor & Motion Graphics: Per Hoel

    Theme song: Anthony Thomas & Neil Aggarwal

    Music: “Unanswered Questions” by Kevin Macleod (

    Fractals in nature pictures: and (NASA/JPL-Caltech) and and
    Menger Sponge visualization from
    DNA chromatin fractal globule visualization courtesy of Maxim Imakaev and the Mirny Lab at MIT (

    Special thanks:
    MIT Radio Club, Prof. John Essignmann & Ellen Essignmann, Dr. Kwang Don Choe, Max Imakaev

  • Dolly Parton - 9 To 5

    2:34

    Official music video for ”9 To 5” by Dolly Parton
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    Lyrics:
    Working 9 to 5, what a way to make a living
    Barely gettin' by, it's all taking and no giving
    They just use your mind and they never give you credit
    It's enough to drive you crazy if you let it
    9 to 5, for service and devotion
    You would think that I would deserve a fair promotion
    Want to move ahead but the boss won't seem to let me
    I swear sometimes that man is out to get me
    Mmmmm...

    #DollyParton #9To5 #9to5andOddJobs #Country

  • Endless Epic Chord Progression - Lesson Demo with Jonny May

    8:52

    ► Want to learn this Epic Chord Progression? Get the Video Tutorials below:
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  • Infinite Zoom After Effects Animation Tutorial

    10:02

    Use this link to get a 2 month free trial of Skillshare:
    link:

    In this After Effects animation tutorial, I show you I created this Infinite Zoom animation. This tutorial is suitable for beginners - intermediate users. Please leave a comment if you'd like me to explain anything I skimmed over.

    I'm uploading new motion design & animation tutorials (at least) every Thursday!

    ► Download the project files here:

    ►If you used any techniques from this tutorial, please tag me on Instagram @ben_marriott_ so I can see what awesome things you create

    ►Link to my Instagram:

    ►Find me elsewhere!
    I'm available for hire:
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    ALL THE LINKS (In order of appearance)
    Some of the below links are AFFILIATE LINKS and by making a purchase via these links we will earn a very small percentage of commission, which means that we could keep making tutorials and showing you all the animation fun and tricks. Some of these links do use cookies. Thank you so much for the lovely support.

    Adobe After Effects:

    ►Music:
    Massive thanks to madmomentsgo for providing that amazing music for my intro! check out his other brilliant work here:

    Le Grand Chase Kevin MacLeod (incompetech.com)
    Magic Scout - Farm Kevin MacLeod (incompetech.com)
    Killing Time Kevin MacLeod (incompetech.com)
    Licensed under Creative Commons: By Attribution 3.0 License
    ~ God bless Kevin ~

  • The Golden Ratio: Is It Myth or Math?

    22:55

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    The golden ratio. Some say it’s the most mythical number in the universe. Others say it underlies everything from nature’s patterns to beauty in art and design. But, like, what is it? And does the myth of the golden ratio hold up to its mathematical reality? Let’s find out

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  • Math Antics - Circles, What Is PI?

    7:58

    Learn More at mathantics.com
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  • How to Knit a Scarf for Beginners Step By Step

    27:11

    ►►► DETAILED PATTERN INFO:

    Learn how to knit a scarf for beginners in this step-by-step video tutorial! This course is designed for complete newbies and beginners, so if you've never held yarn or needles before, then this is course for you!

    We'll go over each step of the knitting process (don't worry, there are only 3 steps!) so that you can knit a comfy scarf with any yarn and needles.
    _________________________________________________________________

    /// WHAT YOU'LL LEARN ///

    1. Cast On - involves getting the yarn onto your needles
    2. Knit Stitch - the bread and butter of knitting. Get this stitch down and you can officially call yourself a knitter!
    3. Cast Off - how do you get your scarf off your needles when it's long enough? With the cast off!

    BONUS TIPS:

    * How to choose yarn and needles
    * How to get a neat edge using a slipped selvedge
    * How to hold your needles (once you're comfortable knitting)
    * How to weave in your tail ends so that your scarf is neat and secure
    _________________________________________________________________

    /// MATERIALS ///

    ⟡ around 350 grams of super bulky yarn. These are similar yarns:
    ⟡ Lana Grossa Ragazza Lei:
    ⟡ Wool and the Gang Crazy Sexy Wool:
    ⟡ Malabrigo Rasta:
    ⟡ 10mm (US 15) knitting needles (bamboo):
    ⟡ 10mm (US 15) knitting needles (plastic):
    _________________________________________________________________

    /// HOW I KNIT MY SCARF ///

    The scarf in the video is knit with around 350 grams of bulky weight yarn.

    I casted on 22 stitches and used a US 15/10mm bamboo needle to knit the scarf. The scarf ended up being 9.25 wide and 65 long.
    _________________________________________________________________

    /// VIDEO CHAPTERS ///

    0:32 Choosing Yarn and Needles
    2:16 Cast On
    7:33 Knit Stitch
    13:46 Next Row and Pep Talk
    16:01 How to Hold Your Needles
    18:31 Slipped Selvedge
    19:34 Cast Off
    24:29 Weaving in Ends
    _________________________________________________________________

    /// HELPFUL VIDEOS FOR BEGINNERS ///

    ➜ How to Join a New Ball of Yarn:
    ➜ How to Fix Dropped Stitches:
    ➜ How to Fix Extra Stitches:
    _________________________________________________________________

    SAY HELLO ON THE INTERWEBS!

    This video course is brought to you by Sheep & Stitch! Visit us online and say hello! (or bonjour, hei, kon'nichiwa or hola! We love our international viewers!)

    Website:
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    _________________________________________________________________

    Music used in the video:
    Swimming by Poddington Bear
    Summertime by YoWiLLLL

    * I want to be transparent that the links in the materials list are Amazon affiliate links. This means that, at no cost to you, I will earn a small commission if you decide to make a purchase through the links. I’ve had success using them, which is why I recommend them. However, only buy what you need! Many knitters have used other materials, and their results are just as lovely. The materials list is just a suggestion based on what I have used.

  • 5 and Penrose Tiling - Numberphile

    7:01

    Why five-sided figures pose a problem from Professor John Hunton - and a bit about the importance of Penrose Tiling.
    More links & stuff in full description below ↓↓↓

    Professor Hunton works at the University of Leicester.

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  • The Infinite Pattern That Never Repeats but actually repeated hahah!

    08

    The Infinite Pattern That Never Repeats but actually repeated hahah! debunked is far from infinite noobs!

    Simples rules of geometry meant that 5-fold symmetry was impossible as were crystals without a periodic structure. This turns out to be wrong. Thanks to LastPass for sponsoring a portion of this video. Click here to start using LastPass:

    Huge thanks to Prof. Paul Steinhardt for the interview on this topic. Check out his book ‘The Second Kind of Impossible’

  • The Penrose Tiles

    2:11

    Demonstration of the Penrose Tiles from the Large Maths Outreach and Careers Kit developed by the Institute of Mathematics and its Applications as part of the National HE STEM Programme.

  • Reacting To Veritasium : The Infinite Pattern That Never Repeats

    14:56

    Like what you see? Please consider supporting:

    Thank you. Appreciate your time.

  • Descubre el Patrón Infinito que NUNCA se Repite

    20:03

    Las reglas de geometría simples significaban que la simetría quíntuple era imposible, al igual que los cristales sin una estructura periódica.❄️ SUSCRÍBETE para ver todos nuestros videos:


    Descubre el Patrón Infinito que NUNCA se Repite
    Este video es acerca de un patrón que la gente creía imposible, y un material que no debería existir.

    Muchas gracias al Prof. Paul Steinhardt por la entrevista sobre este tema. Echa un vistazo a su libro “The Second Kind of Impossible”

    Si quieres saber más sobre los mosaicos Penrose, puedes leer Penrose Tiles to Trapdoor Ciphers de Martin Gardener, que me ayudó en mi investigación para este vídeo.

    Filmado por Gene Nagata (Potato Jet en YouTube)
    Animaciones de Iván Tello y Jonny Hyman
    Edición, coloreado, música y masterización de audio por Jonny Hyman

    Escenas de Praga filmadas en 2012.
    ¡Gracias especiales a Raquel Nuno por ayudar con los mosaicos!

    Música adicional de Epidemic Sound

    Video en Inglés del Canal @Veritasium :
    The Infinite Pattern That Never Repeats
    ------------------------------------------------------------------------
    ???? Servicios de doblaje:
    ???? Twitter: @Unilingo_HQ
    ???? Traductora: Florencia Viva
    ???? Voz de doblaje: Pato Lago, Diego Rivas,
    ???? Edición y post-producción de video: Juan Caille Tornquist
    ???? Ingeniero de sonido: Gastón Adriel Álvarez
    ------------------------------------------------------------------------
    #veritasiumenespañol

  • Fibonacci Rhythm - no bar pattern, highly structured but never repeats - played on harmonics

    31

    This rhythmic pattern has no fixed measure size of any description - but it isn't free time either - it's highly structured.

    This is a feature of Bounce Metronome:

    Here is how it works:

    The two beat sizes in the fastest rhythm are in the golden ratio to each other.

    Then - all the rhythms in all the other parts are exactly the same rhythm as the fastest one, only played more slowly.

    It isn't a polyrhythm either - because any beat in any of the slower parts is played exactly in time with beats in all the faster parts.

    The beats in the slower parts are sort of like measures for the faster parts - but not really because they are of two different sizes and the patterns of measure sizes never repeat either.

    Really - if you try to categorise it using conventional ideas of measures or polyrhythms etc. then you can't do it. It needs new ideas to think about it.

    I've only done a short section for this movie. But the pattern can continue like this endlessly, and if done properly, will never repeat at all, not at any time scale.

    Longer soundclip available here: - for a slight variation on this rhythm longest beat nearest to most deeply reinforced beat.

    The original idea of a Fibonacci rhythm of this type is by David Canright.

    He found that the mathematical ideas behind it have surprising connections with Penrose tiles. This is a cleverly constructed pair of tiles (with little notches on the edges to constrain how they can fit together a bit like jigsaw pieces) which can be used to tile the plane completely with no gaps - but however hard you try, they can't be put together to make any kind of repeating pattern at all.

    In fact the long and short beats of this rhythm correspond exactly to the wide and narrow rhombs of a row of a Penrose tiling. In a way you are listening to the rhythm of one of the rows in a Penrose tiling.

    I made this video with Bounce Metronome Pro - but did it by hand, by entering a list of the correc5t beat sizes for the fastest rhythm - then did all the other parts by skipping beats as needed.

    So, you can do it in the same way, by hand, I can explain in detail how it was done for anyone who is interested or provide a demo project for it - but it was a bit laborious to make that way.

    What I need to do is to add an option to make these Fibonacci rhythms to the program. Probably will be easy to do if I do it exactly the right way, but not sure yet how to program it exactly. Tune Smithy has the rhythms in it already, but synchronising them with the bounces requires thought, because the bounce visuals are set up around the idea of a repeating measure of some sort.

    So - this is more like a preview of a possible feature to add to Bounce Metronome. It's a preliminary experiment to see what it is like and whether it is worth doing.

    I think yes, from this video, when I get the time, it is worth adding, as a new rhythm feature.

    Do you agree? Do let me know if you want this rhythm in Bounce Metronome - or want to see more videos like this on youtube.

  • Creating The Never-Ending Bloom

    5:29

    Help support our video productions:
    *Correction May 1, 2017: At 2:06, a graphic in the video incorrectly wrote the formula for the golden ratio. It should be B/A = A/(A+B). We regret the error.

    John Edmark's sculptures are both mesmerizing and mathematical. Using meticulously crafted platforms, patterns, and layers, Edmark's art explores the seemingly magical properties that are present in spiral geometries. In his most recent body of work, Edmark creates a series of animating “blooms” that endlessly unfold and animate as they spin beneath a strobe light.
    Produced by Luke Groskin
    Filmed by Christian Baker
    Music by Audio Network
    Additional Stills and Video by
    John Edmark
    Charlie Nordstrom
    Shutterstock

  • वो अनंत पैटर्न जो कभी रिपीट नही होता | The infinite pattern that never repeats

    20:14

    ज्योमेट्री के सिंपल नियमों का मतलब यह था कि 5 गुना सिमेट्री असंभव थी, वैसे ही जैसे पीरियोडिक स्ट्रक्चर के बिना क्रिस्टल्स। लेकिन यह धारणा गलत निकली।

    Additional Music from Epidemic Sound

  • Tutorial - How to make an infinite loop with Redstone Repeaters

    3:00

    Hey Guys, The title says all. now stop reading this. you'll miss the video!

  • Infinite Patterns

    46

  • Max Cooper - Penrose Tiling

    5:03

    Stream/download the album 'Yearning for the Infinite':
    Subscribe to Max Cooper: and enable alerts.

    Max Cooper:

    The new visual project involved finding different ways of visualising the aesthetics of the infinite. One chapter approached the idea via Penrose Tiling, an aperiodic tiling system developed by Roger Penrose in the 1970’s, which can tile an infinite plane without falling into simple repeating units as with normal (periodic) tiling systems. This idea of the link between non-cyclical structure and the infinite was also central to the the processes of improvisation used throughout. But for this piece I wanted to mirror the tiling regime more explicitly.

    I opted to do that by having all loop lengths corresponding to prime numbers. This yielded the equivalent behaviour musically, where at least for the length of the track (and for two weeks or so if it had gone on playing), there would be no exact repeat of any bar - loops without loops. The feeling of this idea was a nice rhythmical syncopation which I applied to some live instrumentation with the sansula to begin with, and built more and more layers of tight percussion around as the piece progressed.

    Jessica In built a real animated Penrose Tiling visual environment to accompany to great effect. Using the roof, walls, floor and two front surfaces of animated tiling structures to engulf the audience in beautiful fine detailing work which bursts to life towards the end.

    Follow Max Cooper:




    The full album project is explained at


    Jessica In:
    Named after mathematician and physicist Roger Penrose, Penrose tilings are geometrical packings of a pair of rhombohedral tiles that can be used to tile a flat plane ad infinitum without the pattern ever repeating itself. Although comprising of a set of regular rhombus blocks, it is non-periodic, meaning that it lacks translational symmetry. While this aperiodicity implies that a shifted copy of a tiling will never match the original, a Penrose tiling may be constructed so as to exhibit both reflection symmetry and five-fold rotational symmetry - the tiling has scaling self-similarity, so the same patterns occur at larger and larger scales.

    For the Infinite visuals, the pattern is constructed in a way to try and reveal the growth of the tiling, spinning out in trails that initially appear to be random but gradually exhibit the underlying structure. The work explores the visual properties of the tiling to exhibit a mixture of regularity and disorder that somehow retains an order to the eye. Different scales are superimposed to explore the tiling’s self similarity that occurs through its different hierarchical levels of composition and decomposition. Many different algorithms for producing a spacing filling Penrose exist, the method used here is a substitution method known as a Robinson triangle decomposition: the Penrose rhombi are continually split into triangles with side lengths in ratios 1 and φ (phi, golden ratio). Smaller and smaller tiles are created as they are continually broken into these ratios, generating a potentially infinite tilling structure.

    Follow Jessica:


  • About Infinite Painter Pattern by Drawing Faces

    14:26

    A HowTo Draw Faces is new again teaching Infinite Painter app users about the Pattern option when starting a new work. Few rules apply to Pattern, but the tool could be indispensable even to a 3D artist or game artist since the way of revealing how seamless tiles will occur is really cool.

    - The Drawing Assist Tool video, liked by hundreds! (also Infinite Painter)
    Got IP requests? Join their Infinite Studio community or find and follow me @HelloHiHola5 in Twitter!

    As of May 1st, 2020, I'm debating a GoFundMe or something for new graphics laptop - old motherboard burned out. You guys rock! Stay safe and art strong.

  • How to Create an Infinite Background in Adobe After Effects CC

    9:17

    Today I go over a technique to loop and create an infinite background in Adobe After Effects CC.

    Learn to Conquer YouTube with Me for FREE :

    Join the Community at:
    Request a Tutorial at :

    If you want to learn more about the Adobe products. Here are a couple of cheap courses I learned from.


    Subscribe to see more Adobe related content, videos every other day.

  • Theres something about phi - Chapter 11 - The golden toroid and the infinite spiral

    4:04

    Chapter 11 of the series There's something About phi. Video on the number phi, golden number, divine proportion or golden ratio and its relationship with nature. Dedicated to the golden toroid and its infinite spiral or solenoid

  • How to Create an Infinite Pattern in Photoshop

    12:58

    Create a never-ending original pattern in Photoshop.

  • How to Crochet an Infinity Scarf for Total Beginners - Learn to Crochet in 2020!

    12:25

    I hope you liked this tutorial and are now totally hooked (heh) on crochet! Check out my blog and grab a printable, PDF version of the pattern here:


    Yarn used in the video:
    Crochet hook:

    Wanna take a swing at knitting? I have a beginner knitting tutorial you can find here:

    My Social Links!
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    #Crochet #DIY #FreePattern

  • How to Crochet Shell Stitch Infinity Scarf + Chart for All Sizes

    24:09

    In this video tutorial we're going to learn how to crochet step- by- step the Myrto Infinity scarf!
    In the first pinned comment I'll have the written pattern for all sizes from Etsy Shop!
    Enjoy!


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    #KikiCrochet #CrochetShellStitchInfinityScarf #InfinityScarfForBeginners

  • How To Make A Video Loop Using Premiere Pro - Premiere Pro Looping Tutorial

    2:23

    Check out some of our favorite looping clips:

    How to make a video loop in Premiere Pro? Great question! In this video, you will learn how to loop your videos in premiere pro! We'll show you a very effective technique used to loop videos in Premiere Pro. By cutting your clip and swapping halves, you can effectively make a seamless loop from the end to the beginning of your clip. This opens up a whole host of possibilities, including making limitless copies which all loop perfectly with no additional work required.

    Be sure to subscribe to our channel and check us out at

    Check out all our other tutorials over at:


    Also check out our premiere pro tutorials


    After Effects Tutorials


    And Filmmaking tutorials

  • Why RED BUBBLES are impossible… or are they?!

    10:41

    Take a look at a bubble and you’ll see all the colors of the rainbow... right? WRONG. Bubbles are actually missing colors!

    Check out Self-Evident on PBS Voices:

    My Patreon!

    If you liked this video, check out:
    Only some humans can see this type of light:
    How rainbows with NO COLOR are possible:






    Creator/Host: Dianna Cowern
    Editor: Levi Butner
    Production Assistant: Hope Butner

    Thanks to
    Ben Ryder for the amazing footage of wave interference from his YouTube channel:
    The awesome folks who shared their bubble pictures with me on twitter!: Andy Callaway, Philip Palermo, lifewithjess, Danny Thomas, Cate McCleery, @SbastienAndrie4, and so many more that didn't make it into the video.

    Special thanks to our Sally Ride level patrons: David Cichowski, Fabrice Eap, Henning Bitsch, Kenneth Hunter, Margaux Lopez, Patrick Olson, Vikram Bhat, wc993219.
    Join the Physics Girl Patreon community! ►►

    Sources:
    Wave interference video footage provided by Ben Ryder's YouTube channel:

  • How To Knit A Cowl for The Absolute Beginner

    22:58

    By popular demand!!! Learn how to knit a cowl for the absolute beginner with this easy tutorial! Perfect if your starting out or need a quick refresher. Makes a super fast gift too!

    Subscribe to get latest and greatest from Fiber Flux!


    Full written pattern here:

    Let's connect!

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  • Can you solve the never ending square root?

    3:02

    This never ending square root can actually be solve using basic alegra. Find the exact value of this never square root. This problem is much easier than it looks.

    My name is Chris and my passion is to teach math. Learning should never be a struggle which is why I make all my videos as simple and fun as possible. I cover all subjects from basic level math through upper level calculus and statistics. I also make brain teaser and Rubik's cube videos for fun.

    Check out all of my other brain teasers.

    The Easiest brain teaser driving the internet insane (Fruit problem)


    Heaven and hell - Brain Teaser


    Two Burning Ropes - Brain Teaser


    Cross the river - Brain Teaser


    Game show - Brain Teaser


    Don't checkmate - Brain Teaser


    Counterfeit coins - Brain Teaser



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  • Left-Handed EASY BEGINNERS Ripple Infinity Scarf, by Bonnie Barker

    29:11

    Check out more of Bonnie's videos at

    Come join Bonnie Barker as she shows you how to crochet the Left-Handed EASY BEGINNER'S Ripple Infinity Scarf!
    Written pattern available here:
    For more crochet with Bonnie, please check out these links:
    Love Crafts On-line Store:
    Website/blog:
    Facebook:
    Bonnie's books:
    Bonnie's Amazon page:
    Instagram:

  • Snowfall Slouchy Hat Crochet Pattern Tutorial

    18:18

    Learn how to make this cozy slouchy hat, with a beautiful snowfall coloring!

    This video shows you step-by-step how to make this cute hat.
    Basic crochet knowledge is required. For individual stitch tutorials, check out my channel.

    Get the written pattern here:

    Medium Weight Yarn
    (aff)

    Size I Hook
    (aff)

    Match it with mittens:

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