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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: 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 MRpost)

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

A nobel prize for pseudoscience.. 🥱

I have only a very basic and spotted understanding about general and special relativity, but it never stops astonishing me how Einstein was able to abstract its content theoretically, which over decades stepwise is confirmed.

General pseudoscience activity 😆

I wonder if, writ large, this kind of pattern might underlie an infinite universe such that despite present beliefs, repetition of structure is not inevitable--and that, eventually, there is _not_ another you.

@veritasium Can you please make a video about how you make your videos? I'm pretty sure a lot of research goes into this along with a lot of work with the cinematics, animations etc and how to put that all together. The scientific component of it and the filming component and more. Pretty sure a lot of us would like to know how much work, thought and time is put into each of your videos. Thank you for making them and sparking my interest in physics as a medical student! :D

Makes perfect sense to me, when I start 7th grade geometry next year I hope they talk more bout this.

12:28 - 15:04 My favorite number has been five for a long time, and I've just found another reason to like the number five :) It's that kind of math that I'm a fan of, right there.

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”

"Honey, I'll be ready for your sister's wedding when I finish this tiling."

Honeycomb cereal sales increase exponentially

"Honey, I'll be ready for your sister's wedding when I finish this tiling."

so just some random blocks?

I just wonder what is the practical application for that obviously, man made problem. I understand we are pattern seeking entites but this is going too far with your imagination. Why we need these tiles in any pattern? I like Penrose works but this is not even usefull for anything. Any toughts?

That was some good English. Mr. Kepler.

it's not a pattern if it doesn't repeat. So, there could never be a pattern that doesn't repeat. I am going with the literal meaning of pattern here

You just proved the main stream physicists wrong. "In an infinite universe things that happen here must happen an infinite amount of times in other places". WRONG. They say that because their math is limited to finite amounts and because they (like everybody) cannot imagine or "grasp" infinity. Therefore - we will continue the wrong way we have chosen. It's sad.

My mind is blown!!!! Awesome! Excellently presented too. Thank you so much!

If it's infinite in scope, that means ALL possible combinations will happen an infinite number of times. IT WILL REPEAT, EVENTUALLY!!!!

Beautiful, but my eyes hurt!

Can you indicate the sources where you got the information from? The video is very cool and informative, at the university I want to write a mini article on this topic on one subject and I would like to take the video as a basis, but here's the problem with the sources, I can't point out a link to the video in the literature)) I would be very grateful

answer at 08:00 thank me later

after watch this : yup i am still stupid..

I wish I would have found this guy sooner

I know what pattern Im putting on my bathroom floor when I remodel.

me at 5:13: nO NO DONT--

Me: sees title Me: it’s not a pattern then

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”

My brain hurts Thanks...

Would it be possible to utilize these patterns for password or access technology applications for say companies like your sponsor LastPass?

somewhat obvious but Im surprised he didnt touch on the 3 dimensional nature of the tiles, ie: the 2d tiles are perspectives of rotated 3d objects (some being platonic solids). The first presented 8:49 is a cube and/or rhombus cube, as if MC Escher did a Necker cube study. The darts and kites are a double pyramid, though not allowed to align in that shape for sake of aperiodic-ness.

you underestimate the size of infinity if you think it wont ever repeat. If time is infinite then there is a 100% chance that there will be somebody named billybobjoe64646 in real life some day

@hiddentoad guess what? you wrong

@Randalmcdaniel obviously, infinite is larger than anything. however, there are theoretical ways to prove things don't repeat, and if i saw a trend stay true septillions of times, i would believe it to be constant unless proven otherwise.

@hiddentoad infinite is literally infinite bigger than that

this stuff can be simulated by computer programs for actual septillions of times. i myself, on my macbook air, have written a python program that simulates it 1,000,000,000 times. these people have supercomputers. so yeah, it's not infinity, but if something holds true that many times, we can assume it to be fact.

Isn't it a charm that the guy who took aperiodic tiling to a whole new level by using five fold symmetry is called... Pen-Rose?

Phive

I get this feeling when I see videos mentioning the golden ratio and Fibonacci sequence and all this stuff that's way above my level. It really puts you in your place, makes you realize how small you are.

Yeah, this is big brain time.

¿Y en español? Es mucha información, muy interesante y mi traductor personal tiene problemas para seguir tus pasos. ¡Gran video!

Man, I hit that like button when I saw your smile when taking that box full of lase-cut tiles :) I can see that you were very happy with it

12:05 Anyone remember the book magic eye? Using the technique here, you can instantly see the differences and it is astounding how they form a pattern onto themselves! Give it a try! Cross your eyes slightly or soft focus to give yourself double vision and the resulting third pattern between them will be very eye popping!

The thumbnail has multiple repeating patterns. I’m not even going to watch, just wanted to point this out. Bye

Fun fact: If you divide ANYTHING by 0, there is *No answer, not even 0*

Imagine seeing the mind-boggling, mathematical precision that even unthinking, unfeeling atoms display in the way they crystallize with each other and thinking it all came about by random, unguided, unintelligent chance and somehow evolved out of chaos over billions of years. In light of the mathematical precision of the universe, it's preposterous.

Ya.. I dont get it

i just came from hexagons are the bestagons, so the cannonball thing was a pretty cool coincidence.

some lame dining room tiling robot ai goes rogue and tiles across galaxies this never ending pattern

the thing is, my family is building a house, and im gonna ask my dad to get penrose tiling for the parking lot

just writing my name, Enayet Ullah Elite

ok but what's the equations to generate it mathematically

Mathematics; one thing that connects not only numbers, but also all kinds of science.

The oranges at 2:29 stacks wrong and roll apart naturally 😅

I'm here from CGP Grey after joining the Hexagon cult

hexagons are the bestagons

Perfectly imperfect

Make it stinky

1:20 *D&D Pun here*

Hexagon is the bestagon

mind blown

Don't worry people, once JoJo Part 7 gets animated we are all going to be masters in understanding the Golden Ratio!

I would love to see a video where you & CGP Grey debate tiles (hexagons vs Pentagons) kinda like that laminar vs turbulent flow debate. edit: or maybe a podcast so all of the knowledge is in one place

"The most 'fiveish' constant of all" nice neologism.

I almost never knew what you were talking about throughout the video, but I was somehow still interested enough to watch the entire thing lol

You are a great Person !

Honeycomb cereal sales increase exponentially

Periodically means what???

When you're halfway through this video and you struggle to understand these mathematical problems that anyone can understand, but nobody has been able to solve, so you just keep watching anyway for the pleasure of knowledge and curiosity.

This is why I love mathematics. Everything is so perfectly connected, ie the golden ratio, the fibonacci sequence, penrose tiles, etc. It's exciting to delve deeper and find out why these connections exist. Great video as always.

While watching this I got two ads 5 seconds apart. Something's wrong with MRpost.

I'm getting goosebumps watching this

Pentagonal pattern can be repeatable. Here is the TED ed video on Islamic architecture : mrpost.info/down/vhi-i/qMlktKez0bTal3E

the thing is, my family is building a house, and im gonna ask my dad to get penrose tiling for the parking lot

I think 9 sides is the strongest of all

Hexagons Are the bestagons

3:50 or in CPG gray we say "hexagons are the bestagons".

Did anyone else notice that the aspect ratio of this video is the golden ratio? 🤔 (3496/2160≈1.6185)

could you create an aperiodic tiling with one shape like a trapezoid?

9:16 shut up and take my money or my mother but give this to me :)

"The most 'fiveish' constant of all" nice neologism.

The infinitude of the Penrose tiling seems like an infinite depth, each layer of it presenting a different salience to the eyes perceiving it 2-dimensionally.

Very interesting, but way too many commercials. Am I missing a way to avoid them? You need to get paid, but is there a better payment model?

It’s strange. I must have seen over 6 ads with this video and none on your Aerogel video where you melt the bunny.

Is this 4:3?

That's why I quit watching Veritassium long ago. Because it's interesting at the beginning and on short time my small brain refuses to percieve that scientific talk.

When you're Czech and finally see your country mentioned.

super interesting even if it triggered my trypophobia!

SOMEONE'S BEEN DRINKING #VERITASERUM ;)

Me at 15:04 "Hey. No. Stop that"

this is the only time math has been interesting

1:06 d6 1:10 d4 1:13 d8 1:16 d12 1:21 d20

12:20 “ just by looking at them you could never tell them apart” Maybe if you converted them into sound then you could hear the difference. It would sound like a noise with the different timbre, maybe.

How would you convert this to sound?

I am seriously curious about how we can convert it to sound

My jaw dropped when I saw the similarity between penrose's tiles and kepler's tiles

can you translate your coming videos into arabic?

This is the blueprint of the Omega molecule, it is infinite in it's destruction.

0.5 is 1/2 in base 10... Not so much related to 5...

Inception

Next time I retile my kitchen floor...

Thicko here with a stupid question.... if it never repeats how can you be sure it is a pattern?

9:25 is amazing

we have a street in finland which has been tiled with penrose tiles! check out keskuskatu, helsinki, finland in google street view!

Hexagons are the bestagons mrpost.info/down/vhi-i/rMqCz53brNeayJI

All im hearing is set up to Tools laturalus

Also, The pattern seem to always form dodecagons...

8 minutes in, I'm done trying to understand their obsession.

I'm here from CGP Grey after joining the Hexagon cult

platonic solid? you mean D&D dice right?

Interesting video! Now I wanna watch a video that explains this video.

I love how i watched this video thinking i would understand it

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