Dope Tech Episode 2

<<@marat61 says : So penrose tilling is computationally posible?>> <<@RobinHagg says : Love the video and voice. Hmm background music, yeah not so much.>> <<@eboone says : algorithmically generated music>> <<@JoshuaEstrada-h4o says : Is the music quasi periodic?>> <<@inkthinker says : I wonder if there's a correlation between this and an animation trick I would use back when I needed to cycle frames without creating an obvious loop. Useful for boils and trembles and vibrations of all sorts. If you have five cels (drawings), you can alternate between them in sequence (1-2-3-4-5) in such a way as to avoid repetitions, 1-2-4-1-5-3-2-4-5-1-3-4-2 etc and so forth. And part of the trick was that you needed at least 5 cels. It's not a trick I ever dived too deep into, but I used it fairly often.>> <<@JavSusLar says : How to make a non repeating string of 1s and 0s: 0 1 01 101 01101 10101101 0110110101101 ...concatenate last two strings...>> <<@lltlll-g1v says : 3000 cycles...>> <<@dijahsyoutubechannel says : patches that are perfect matches???? why?.????.????>> <<@rowdysum says : The random marimba playing in the background is extremely distracting>> <<@WilliamWizer-x3m says : NOTHING SPECIAL ABOUT THE GOLDEN RATIO!!!??? HOW YOU DARE TO SAY THAT!!! the golden ratio appears everywhere on the penrose tiling because the penrose tiling is based on the ratio between the lines of a pentagram inside a pentagon (which happens to be a way better to create a penrose tiling) and all the lines in that figure are always in a phi ratio between each other. so, in other words, the golden ratio appears everywhere because penrose created his tiling based on the golden ratio. the most irrational number that can be.>> <<@itisorisit says : Love the video! The part I'd actually like to know additionally is an intuition why it is impossible to arrange these tiles in a way that isn't a heptagrid. At least to me that isn't obvious. There could be some other way to arrange them. I know there isn't, but it could be interesting to get an idea why>> <<@danser_theplayer01 says : They may never repeat but they all look too similar, unpleasant to look at.>> <<@llavabutt says : I am already in LOVE with that website. I love geometric patterns, especially drawing or painting them so having a digital "helper" that I can play around with until I have something I'm happy to put on paper is a game changer! and the fact you can export them to image files so I can use em as wallpapers and backgrounds? 🥰 I am so happy right now!>> <<@MultiRobotnik says : Not a minute long, nor about physics.>> <<@vasilnikolov8576 says : YOOOOO CRAZY YOUTUBE PULL>> <<@kmn1794 says : finitely aperiodic only.>> <<@fluffything5865 says : my head and eyes hurts...>> <<@SCWood says : Are the pentagrid tilings also aperiodic?>> <<@michaelkhoo5846 says : It looks like they kind of repeat radially though ...? I am not a mathematician etc etc.>> <<@ElyAmber says : Some of the website's tilings feel like cheating... They have rotational symmetry and expand from a unique centre, so surely its _obvious_ those never repeat because nowhere else in the plane would share that pole-like property? I know I'm missing something....>> <<@MCC900 says : I started this video thinking this was just a weird feel-good pseudoexplanation of aperiodic tilings, then you just blew my fucking mind>> <<@d-d-dsyncronized says : rin penrose>> <<@itsmewonder5041 says : The background music is not good.>> <<@LunarcomplexMain says : Could prolly just summarize that since there appears to be some center to this formation, that over laying a copy of itself anywhere else but the center wouldn't be possible>> <<@quiethiYour999ping says : satan>> <<@gnenian says : PEN ROSE TILS (The End of Infinity) I'll get my cape 🧛>> <<@therongjr says : I hate these so much.>> <<@mossy8419 says : 5:31 interestingly I happened to encounter this exact number working with a completely unrelated problem (cubic equations) because this number is one of the three roots of x^3 - x^2 - 2x + 1 = 0. Its exact value is 2cos(π/7), which is because that cubic equation happens to be a factor of the seventh degree polynomial which gives the seventh roots of unity. I can’t find any relationship between this number and measurements on a heptagon, but it is the length of one of the chords spanning two vertices on a regular unit 14-gon.>> <<@erawanpencil says : @4:30 Can anyone clarify what he means when he says it's a "frequency vs period thing"? I thought period was a measure in seconds, i.e. in time. These tiles are fixed geometric objects. What's he referring to regarding period?>> <<@Amy-m2i7r says : Fold symmetry 14, max disorder, pattern 0.24>> <<@xemkis says : I will never be satisfied until i have a rug, curtains, or some other subtly patterned decoration in my house with a penrose tile pattern.>> <<@you2tooyou2too says : Should have been called Pentrose grids. ;-)>> <<@ZacharySuhajda says : Iv always wondered what they meant by "didnt repeat" for the longest time and I was ready to watch the whole video for an explanation on how they dont repeat at all and 20 seconds in I got the explanation I had needed on what they meant by "didnt repeat">> <<@ChadFaragher says : Maybe I'm autistic, but when I listen to the marimba music I hear your voice. Is the audio of your voice an input to the algorithm that generates the music?>> <<@nokia-gm8gv says : that nice>> <<@qwertyuiop.lkjhgfdsa says : 4:03 looks kind of like a cat face>> <<@ruperterskin2117 says : Cool. Thanks for sharing.>> <<@ZILtoid1991 says : 🅱️in 🅱️en🅱️ose 🅱️ilings>> <<@gamingchanneIgaming says : what is this song bro>> <<@noway8233 says : Cool graphics , they looks great 😅i like Penrose , he was very smart and funny 😊>> <<@mikermiks5784 says : I can see repeats>> <<@1harlo says : thank you for explaining that when I see a pattern and someone says “there’s no pattern to this mathematically” that there actually is and we’re not crazy>> <<@Rolandais says : I feel like, it's a how it doesn't repeat, not a why? The why, is, because it was designed to never repeat, it's the how it never repeats, that is in the proof? Right?>> <<@glajskor90 says : SIGNALIS>> <<@Makememesandmore says : I know how you made the music>> <<@Sockman509 says : You didn't have to make the music never repeat either 💀>> <<@Ra-ue2ss says : music in the background is really annoying>> <<@kilroy987 says : 0:41 So they do repeat, just penta-radially, not on a perpendicular coordinate system.>> <<@FourthRoot says : The interesting thing is that any subset of this tiling, no matter ho larger, actually occurs an infinite number of times, just not at regular spacing.>> <<@Pasakoye says : Neat stuff.>>