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 ARworlds)
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
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”
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It never repeats but the universe itself clearly does. Ok.
That’s nice
Wait, the astronasts select by Skill where also 1.6! It all has a pattern, but has actually Not🥴
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.........
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 ARworlds 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
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.
Can this pattern be used for encryption
Confusing ass title
Is it even a pattern then?
Mind. Blown.
12:18 what if one shapes was different and the person to find it would get something.
Could the tiling be used in encryption?
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it does repeat
This video is an example of people who have waaaaay too much time on their hands.
Fascinating ! Even for a complete non-matematician as me...
imagine having ocd watching this
I live in Czech
Me just realizing that he could have chose any number for the atomic number of Veritasium but he chose 42(0): Nice
Does anyone know where to buy one of those icosahedrons he has at 17:17
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it's 4am somewhere
As below, so above. Look at the International Institute for Conductors logo. It is a representation of a conductor standing in an icosahedron, one of the platonic solids. According to Rudolf Laban the architecture of our personal space reflects Keplr's vision of planetary space. Cool!
oh, please tell me this video is in a golden aspect ratio. i have been dying to know!
It's not a pattern if it doesn't repeat
Robert burger
Math is amazing...I'm too stupid to understand :(
I understand.
I knew math would be important - I just chose not to pay attention. now I feel like I missed some magical universal language of numbers that puts me below other people
In 2007, the physicists Peter J. Lu and Paul J. Steinhardt suggested that GIRIH tilings possess properties consistent with self-similar fractal quasicrystalline tilings such as Penrose tilings, predating them by five centuries.
We are right in it!
Haha, we wrote a philosophy exam about it...
Please tell me I’m not the only one who sees this on LSD
tesselation is epic.
Now bend space to force the pattern to tile periodically, does the bent space have a pattern?
I wish I was your level of smart
wait this guy went to prague in october 2020- description: “prague scenes filmed in 2012” ...wait this guy started this EIGHT YEARS ago???
The thumbnail messed up my vision for 10 seconds. Bruhhhhhhhh
Hexagons are the bestagons dude
I'm too high for this.
Proof that reality is built on numbers
This reminds me of one of those criminal shows where everything starts to come together and they find out it's all connected.
Definition Of Pattern: A *Repeated* Decorative Design. Title Of Video: Pattern That Never Repeats Me: *_cOnFuSiOn_*
Cepler was to Smart to explain it, its the truth. Think about expeaining something to a dog...
If you really think about it if something is infinite meaning it has no end the chance of it repeating itself at least once is literally guaranteed to happen
at 1:24 who else saw massive hollow dnd dice set XD
this is pog
In all seriousness, is the title an oxymoron? As surely a pattern is something that repeats itself. Great video btw though
Max was here
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