The Infinite Pattern That Never Repeats
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: 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 ALthe)
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
Komente
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”
husejn179
9 ditë më parë
Pö
Yodas Raytraced Retro Studios
10 ditë më parë
It never repeats but the universe itself clearly does. Ok.
Itz_Clixzy
13 ditë më parë
That’s nice
Big Smoke
15 ditë më parë
Wait, the astronasts select by Skill where also 1.6! It all has a pattern, but has actually Not🥴
Shawn Hartmann
17 ditë më parë
DUDE! I saw this pattern in a movie (can't remember the name of the movie, scene was near the end, two characters standing on a plaza with the Penrose pattern in the tile beneath them), and I searched for it for an embarrassing amount of time with no luck. Thank you, thank you, THANK YOU! for scratching this mental itch that has been in the back of my mind for months. Ahhhhhhhhhhh.........
Roger Penrose is just in a class of his own. There are no limits to my respect and admiration for that guy. Unpopular opinion: his protege, Stephen Hawking, however.. man, how that apple fell far from the tree. Such a predictable, pedestrian thinker. Penrose: “I don’t believe that consciousness is a computation. In fact it may well be fundamental to nature in some as yet inscrutable fashion” Hawking: “The human race is nothing but a chemical scum on an unimportant rocky planet orbiting an average star” How come Penrose is so full of awe and reverence, while Hawking was so jaded and cynical 🤨
Stretching my old brain are we? :-) Thanks.
Darling, why is our bathroom so big? - I had to put the infinite Penrose Tiling somewhere! Great and enlightening video, as always.
I am confused
2:00 The music made me feel like this is an SCP illustrated video. I approve
M.C.Escher
I’m ttr go r
“When the bitrate hits your eye, because it’s fallen from the sky..........it’s a moiree”
PI ?
having a service that is used by scammers a lot as your sponser... nice going bro
9:34 good lord man, keep it in your pants
I though he was about to say "this video is sponsored by VPN"
veritasium, giving people existential crises since 2011
Whether you believe in God or not. He is the architect of all things. How else could this happen. Not by random disorder to order. There is an intelligent designer the created the universe. The sooner you accept it and give Him credit for what He created, the more He will peel back the secrets and the mysteries for your understanding,
Randomness will repeat didn't you watch a beautiful mind?
Prague is my favorite european city too.
This whole video is wrong I restarted it twice and the patter was the same both times
yawn
"It's few-tile"
Bruhh I can see here from my screen the pattern repeating itself lmaoooo 💀
Even the length of your video is symmetrical 21:12
Jesus man you are really blowing my mind. I love your videos and thank you for your dedication in your work. I really mean it.
I wanna see it folded over on itself.
hexagons are the bestagons
Yay random number generator!
I feel like you can use this to make a deterministic machine run a non deterministic algorithm. Maybe you can even derive a non-deterministic algorithm from this.
Kdo je tady Čech? ;)
Robert Burger??? I wish that was my surname
I would have thought that a pattern that doesn't repeat really isn't a pattern at all, but rather a progression, like the value of pi. I think it is obvious that such progressions can present the illusion of a pattern. The human brain is evolved to look for patterns in practically everything. Often, people think they see patterns where none actually exist, the same way they think they see faces in things, like the face of Jesus in a piece of burnt toast.
we're handling them on 2 dimension only. but when it comes to the higher dimension, everything can be possible in pattern.
Sounds like Pi.
I dunno, this Kepler fellow sounds kinda hexxed.
“1969” nice
So, if any section of any Kites and Darts pattern can be matched to a section of a different one, how do we know that all the patterns of kites and darts are actually different patters? You said that the only way to tell the patterns apart would be to look at the entire pattern, which is physically impossible, so if we have no way to prove that the patterns are different, how do we know they are different?
are you sure it never repeats i can see a hell of a lot of half and full cycles with in it
i become smarter from each video im watching
I rarely understand even half of what he says even though he is a pretty good teacher.
And now guys you know why in ancient Greece entire philisophies and cults were created based on geometry and math
ads every 3 minutes, youtube has become a greedy bastard
0:30 that lady at the door is like "wtf is going on here" lol
Hey the bigger pattern around 9:50 Forms Cubes stacked next to each other. How cool is that? I find that realy cool. A micropattern that mostly 'repeats' until the borders of the Macropattern.
Sorry dude. You lost me when you thought it was cool to walk into a European museum wearing shorts and a t-shirt with a commercial slogan on the front. You forgot your baseball cap and great big American flag.
This channel and thus man is very inspiring
my mind is effectively blown
Bruh
Go to 9:34. Mind blown!!!!
math is weird...
I get why he has so much subscribers
thumb down for commercial every 3 minutes
What am I missing all the tiles look the same to me, he says they don't repeat and clearly they do.
So that's how to pronounce moire.
Man looking at this amazing video and all the stuff about fibonacci sequence just makes me want to listen to Lateralus.
So the greatest randomness van exist from 50""50""
brb re-tiling my bathroom
16:15 you lost me there. I thought this was supposed to work any way possible
the thing is that we try to understand the world so much but in reality there is no understanding. like the quasicrystal, it seems to not abide by our arbitrary "laws" of nature, and yet it exists. nature doesn't have laws that it always follows and we should stop shutting down things like for instance a quasicrystal because we think we know it all
0:51 They're the barriers that get put up around you when you get friend-zoned by someone.
Wait...isn't a pattern supposed to repeat by definition of what makes a pattern?
Allow me to state the (painfully!) obvious: You have an extraordinary mind! Love the videos; thank you.
9:00 - Funny...i am sure he did not want to, but that moving pattern is a worst case scenario for video compression. You can see, how the quality dips down, as the algorithm struggles to keep the number of refreshed areas to a minimum, but the picture is just too much noise, to keep a good quality, at the given bitrate. As an (shortened) explanation for those who do not know: Modern video codecs obviously are trying to keep the size of a video-file down. One way they do this, is by cutting the image into tiles, which is funny, given the topic of this video. The algorithm then looks at these little pieces and compares the current frame with the next one. If a tile matches...or closely matches the one at the same position in the next frame, then only a reference to that tile is saved, which takes up less space. So one tile is then effectively used twice, because they didn’t change between frames. The more you compress a movie, the more it tries to find matching tiles and the „loser“ the rules for „What is matching?“ get. That also means, that the quality gets worse, because the tiles get matched with others, that aren‘t QUITE the same and at one point, our eyes notice. The desired file (to be exact the bitrate) size then dictates the number of original/true tiles can be saved, compared to just a reference. What does that mean in this context? Well 1, a compressing algorithm LOVES videos, that display the same thing, over and over again, because that means a lot of same-y tiles. And 2, the more the picture changes, the more original tiles must be saved. However we just established, that this number is finite. Not only is it finite, the algorithm has to spread each tile evenly, it cannot spend every tile in the first second, because then there is nothing left for the rest. That rate, in which the tiles are „spent“ is basically, what the bitrate is. Number 3: Knowing that, we also know, that the bitrate is also finite, which means, if the number of changed tiles per frame exceeds the number of tiles the algorithm can spend, it is forced to widen the rules (remember the size and bitrate cannot be increased), as described above, which leads to a blurry video, the higher that difference is. That noise he created CONSTANTLY changes and quickly spends our tile-budget and that is why it starts looking blurry. Why am i writing this? I have no goddamn clue, i just found it interesting!
NOT INTRESTED ALthe get this outta ma face
my bwain hurts qwq
Wow you mean people guessed they knew amazing so they deceived self refuse correction refuse direction refuse truth Demand know can't explain don't understand yet try demand know arrogamt pathological liars I see true and just it's not pretty
Haha I was just watching Tom Scott's video about paid promotions he was spot on
this is scary
how boring, about to change position of track in 5, 4 , 3 .....
Where did you get the two transparent sheets that you used to make the moire pattern?
@1:31 DnD dice
holy life metaphor... god, its got me wanting to trip xD
Distran The Gloriously Deformed
3 ditë më parë
Always respect psychedelics.
The perfect 20-minute Discovery channel time-killer episode.
toooooooooooooo many ads 🤢
"A portion" of the video was sponsored by LastPass?? First time I've ever heard that
I used to use LastPass but they had a network breach once. They are not open source so that their program/apps are not audited for backdoors. I use the Open Source product Bitwarden. It is audited by the community and... is cheaper.
Does there exist a never repating tile pattern that is actually pleasing to look at? Like the idea of laser cutting some wood tiles and glueing them down interest me, but the patterns shown on this video would not work.
My monkey brain understood like 0.000000001% but I love it!
Music name 2:00??
This video is impressively well made
How do you define aperiodic tiling mathematically? And is there a condition(s) that the shapes which form an aperiodic pattern must satisfy?
min 14:02 on each star is. a now german "in jedem stern ist auf den fünf enden oder straheln die gearade miteinader verbeunden sind im rechten winkel ein fünfeck zu sehn wie zuvor beschrieben. dass sechseck wie es bienenwaben haben ist nicht so gewollt es entwickelt sich durch kreise die aneinander gereiht werden wie eine kugel das größte volumen bei der kleinsten oberfläche hat so ergänzen sich körper des selben umfanges am besten im sechseck. ist ein gesetz der thermodynaik dass mir grad nicht einfällt, aber so ist es.
Where can we buy thoses puzzles?
Didnt understand 3/4 of what he said but ok.
I've never even heard of this but I'm extremely interested
UwU
I mean, do you like weed?
If we had the chance to learn topics like we see in these videos in school, I would of payed a lot more attention
why did i smoke weed before this
Pffft those are hexagons
Wow!
if it never repeats then it isn't a pattern...
hexagon are the bestagon
could you make a 3D Aperiodic puzzle of a pyramid?
Watch pentagon is the best a gone
We were always wondering what the 4th dimension looked like, well here's the 5th
ILLUMINATI CONFIRMED
I went to Prog and Pink Floyd wasn’t there and neither were any talking goats 0/10
watch this before bed because its satisfying
I kind of hate all of this.
outside topic. i just realised weaponry has to give up alot of fault to the inverse square law some how.. packing factor, firing ammunition, and physics of projectiles all play together.. perfect pacing factor would be rectangular shells, ofcourse then it would fire and fly less efficiently because charges get most efficientcy from being circular.. whatever powder or charge doesnt burn evenly in rectangular chambers and a rectangular munition would be awful to use precisely
I want to see someone make this pattern in Minecraft.