The Infinite Pattern That Never Repeats

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: https://ve42.co/LPs

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

50 Comments

  1. Layla Editz on October 8, 2020 at 3:17 pm

    I always say stop everytime i dont get things. But this video made me say stop continuously

  2. Lots of Wolfs Gaming on October 8, 2020 at 3:18 pm

    Pi but as shapes?

  3. arrie on October 8, 2020 at 3:20 pm

    Confused

  4. hunter cornwell on October 8, 2020 at 3:21 pm

    As a geology major, seeing the Bravias lattices in one of your videos was great!

  5. G Porto on October 8, 2020 at 3:24 pm

    What are the platonic solids?

    RPG dice. They’re a set of RPG dice.

  6. Wrlwind X on October 8, 2020 at 3:27 pm

    Shapes back in grade 5: ∆
    Shapes now:

  7. caleb allen on October 8, 2020 at 3:27 pm

    Im soo confuzed

  8. Raminder Saini on October 8, 2020 at 3:29 pm

    The golden rule was intresting, btw you teach good

  9. Patrik Baršun on October 8, 2020 at 3:30 pm

    You know that you’re a nerd when you watch this for fun.

  10. Filip Klominek on October 8, 2020 at 3:30 pm

    12:41 I had a mental breakdown.

    14:38 I had a physical breakdown.

  11. ɢ ʏ ᴜ • 承 on October 8, 2020 at 3:30 pm

    clicks because i thought it was a toy

    left the video with education

  12. Arif Hasanov on October 8, 2020 at 3:30 pm

    u just blew my mind. I have to rewatch this video 10 times…

  13. Veritasium on October 8, 2020 at 3:33 pm

    Roger Penrose was just awarded the Nobel Prize for Physics! Not for this pattern but “for the discovery that black hole formation is a robust prediction of the general theory of relativity”

  14. 1player on October 8, 2020 at 3:35 pm

    Waiting for the next TOOL song whose meter is based on Non-Periodic Penrose Tiling

  15. J G on October 8, 2020 at 3:35 pm

    ???.

  16. Josh Simmons on October 8, 2020 at 3:35 pm

    Today I learned how stupid I am.

  17. Frosty starshine on October 8, 2020 at 3:36 pm

    I live like 16 minutes from prauge lol

  18. Wesley aithusia on October 8, 2020 at 3:37 pm

    sounds like youre forcing unrelated things together like a conspiracy theory. kind of cool

  19. Siling Zhou on October 8, 2020 at 3:37 pm

    Art and Science combined?!?!?! Hahaha

  20. HUSKY THE GAMER on October 8, 2020 at 3:40 pm

    like arceru logo

  21. The galactic artist on October 8, 2020 at 3:44 pm

    join the chain me

  22. Aea on October 8, 2020 at 3:45 pm

    Im sorry im very stupid but what does he mean about ‘never repeating?’

  23. Just Someone on October 8, 2020 at 3:47 pm

    can you be my prof? 🙂

  24. A_Jim _So_Dashing on October 8, 2020 at 3:49 pm

    The definition of pattern requires repetition… other than that, good job

  25. blackhawk35i on October 8, 2020 at 3:49 pm

    musik from anno 1602 XD 0:16

  26. Ema Čugalj on October 8, 2020 at 3:50 pm

    i like your funny words magic man

  27. C H A R M I on October 8, 2020 at 3:52 pm

    Today I learned more in 21 minutes then in 15 zoom classes 😂

  28. Erik McGreevy on October 8, 2020 at 3:54 pm

    I now have a sudden urge to tile my bathroom.

  29. Ana Clara on October 8, 2020 at 3:58 pm

    i need to study more just to understand 100% of this guy’s videos, it seems like it would be fun. imagine knowing who fibonacci is and what his numbers are, wth is a golden ratio, im not even sure i know what "tile the plane" means. also, quasicrystals???????????

  30. lullaby lull on October 8, 2020 at 4:01 pm

    Me:
    Click on this vid cause it looks interesting
    Later:
    No idea what this man is talking about but still subscribed

  31. Jorden Malferd on October 8, 2020 at 4:02 pm

    Awesome

  32. MEBOE FEBOE on October 8, 2020 at 4:02 pm

    You are a better teacher then my teacher becaise i actually want to learn when i watch your videos but with my teacher i dont want to learn

  33. Triton_ ErenEdits on October 8, 2020 at 4:03 pm

    So is it like a irrational number

  34. Buddha for President on October 8, 2020 at 4:04 pm

    2:00 How do you stack cannibals?

  35. Kel The kid on October 8, 2020 at 4:06 pm

    Wack

  36. LETALDO THE MAGNIFICENT on October 8, 2020 at 4:06 pm

    Huh

  37. Trejin Payne on October 8, 2020 at 4:07 pm

    Why don’t I listen in school but here I’m listening and learning like what

  38. Shaun Cooper on October 8, 2020 at 4:07 pm

    Would you be able to upload a drawing plan of your kite & dart shapes? Ok I found it on wikipedia
    https://en.wikipedia.org/wiki/Penrose_tiling

  39. June on October 8, 2020 at 4:08 pm

    Quasi scientist is the sickest burn

  40. Chaos Corner on October 8, 2020 at 4:08 pm

    I find the Law of Fives to be more and more manifest the harder I look.

  41. Sketchy on October 8, 2020 at 4:09 pm

    You are litteraly amazing. I mean. Math is amazing

  42. Jorden Malferd on October 8, 2020 at 4:10 pm

    Awesome

  43. Mihael Jogun on October 8, 2020 at 4:10 pm

    Okay…but what real world applications does this actually have??? Did I watch this whole thing to realise that its pointless….this is what happens when mathematicians procrastinate :/

  44. o0NAVI0o on October 8, 2020 at 4:10 pm

    galium makes 5 pointed crystals

  45. 1k subs without any videos challenge on October 8, 2020 at 4:11 pm

    The background music is what makes this video

  46. Nora Baird on October 8, 2020 at 4:12 pm

    I’m so dizzy.

  47. veriton 345 on October 8, 2020 at 4:12 pm

    I lost like 100 brain cells in the green screen part

  48. Wulfe on October 8, 2020 at 4:16 pm

    12:30 That Pattern Satisfies Me But I Hate It. I’ve Never Been So Conflicted In My Whole Life.

  49. Jeff on October 8, 2020 at 4:16 pm

    Youtube recommendation summoned me.

  50. Pedro Celso on October 8, 2020 at 4:17 pm

    You say platonic objects, I say d4, d6, d8, d12, and d20!

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