Dope Tech Episode 2

<<@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>> <<@DSYNC-RONIZED 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.>> <<@20xx-mm-dd says : the "music" is driving me crazy>> <<@itamareizikovich says : I am convinced that math is the literal god.>> <<@davecorry7723 says : Interesting.>> <<@Braskil says : Hmm I was thinking the tiles in the bathroom looked a bit boring anyway...>> <<@agusavior2 says : 4:26 here is the proof>> <<@Kronyx-k3r says : great video grating song>> <<@olivia_am3230 says : “Infinity ratio” 4:51>> <<@fenderchen182 says : Wouldn’t some tilings end up being rotationally symmetric?>> <<@normi3s_ge7_0ut says : Im warning you right that nobody knows what youre talking about but theyre all nodding and agreeing with you>> <<@user49917 says : I have used your grid logic in a very interesting way. This has been eye-opening. Thanks for this insight.>> <<@Ruhgtfo says : Seems like ECC RSA. Noise with prime's>> <<@Gabrielrandom-l6y says : so... where are the RIN tilings?>> <<@JamesR624 says : 0:07"They never repeat themselves." 0:12 "There are patches that are perfect matches." Yeah, see this is why mathematicians are not linguists. They sometimes struggle with the actual definitions of words. Spoiler: They DO repeat themselves, a LOT. But if you just squint, and then throw out the definition of the word "repeat", then they "don't repeat themselves". 🙄>> <<@chekote says : Video: intelligent lesson about math and geometry Me: 1:23 oooh, a heart>> <<@__________________________hi52 says : 01101001100101101001011001101001100101100110100101101001100101101001011001101001011010011001011001101001100101101001011001101001... Does this repeat?>> <<@Spoon97 says : This video relieved my 2 week long constipation.>> <<@hermask815 says : Any hardware stores selling parts for Penrose tiling?>> <<@suhnih4076 says : Wow>> <<@AndyZach says : Like you, this is the first time I've seen a good explanation of Penrose tiling. Thanks for the explanation.>> <<@prbprb2 says : I would like to know what the Fourier transform of (the lattice sites) of a pentagrid. Does someone have a reference.>>