A Fascination with Fractured Friezes - Numberphile

แชร์
ฝัง
  • เผยแพร่เมื่อ 3 ธ.ค. 2024

ความคิดเห็น • 90

  • @daemoneko
    @daemoneko 21 ชั่วโมงที่ผ่านมา +19

    One of the fascinating things I love about watching these videos with Brady and a guest mathematician
    Is the questions Brady asks, usually something in the viewer's head as well, but it leads to a back and forth between Brady and the guest mathematician
    My schooling and college has aways been a "you should've already known this, these are obvious questions" vibe, and totally killed the learning process of Math
    but these videos and the conversations bring back the spark, of just being curious about math, asking questions, and even better, finding the answers by exploring the math even further!

    • @lilacdragon17329
      @lilacdragon17329 11 ชั่วโมงที่ผ่านมา

      That paragraph with the "you should've already known this" part is very familiar unfortunately, and stopped me from asking questions and for help when i didn't understand something, felt like i was gonna be shamed

  • @abigailcooling6604
    @abigailcooling6604 วันที่ผ่านมา +97

    Watching this while knitting a klein-bottle-shaped hat with stripes representing the digits of pi.

    • @numberphile
      @numberphile  วันที่ผ่านมา +39

      Living the dream

    • @carltonleboss
      @carltonleboss 23 ชั่วโมงที่ผ่านมา

      Excuse me?!

    • @subnormality5854
      @subnormality5854 22 ชั่วโมงที่ผ่านมา +8

      I need to see a photo of this if real

    • @carlosgaspar8447
      @carlosgaspar8447 21 ชั่วโมงที่ผ่านมา

      @@carltonleboss you can watch her work in a previous video

    • @berryzhang7263
      @berryzhang7263 21 ชั่วโมงที่ผ่านมา

      That’s amazing

  • @JovianCloudfarmer
    @JovianCloudfarmer วันที่ผ่านมา +35

    I have a fascination with fractured Friezas too. (If I ever change my profile picture to not be Future Trunks this joke won't work anymore)

  • @KazimirQ7G
    @KazimirQ7G 23 ชั่วโมงที่ผ่านมา +50

    Now that you've provided us Frieza Maths, it's time for Goku Maths.

    • @tremapar
      @tremapar 21 ชั่วโมงที่ผ่านมา +6

      I immediately opened the comments to make some dbz joke, but saw that a lot of people were already Cooler than me

    • @unhealthytruthseeker
      @unhealthytruthseeker 13 ชั่วโมงที่ผ่านมา +2

      @@tremapar Honestly it's hard to Cell me on jokes like this. I just want to Buu them.

    • @JefferyMewtamer
      @JefferyMewtamer 6 ชั่วโมงที่ผ่านมา +1

      Here's some Goku math for you:
      The square root of 1 googol is 100 goku.
      And doing a little googling, the DB nerds who BS power levels for Super haven't pegged anyone at anywhere close to 1 Goku best I can tell

  • @djlungo
    @djlungo 18 ชั่วโมงที่ผ่านมา +8

    Brady - once again - makes a great interview.

    • @polares8187
      @polares8187 16 ชั่วโมงที่ผ่านมา

      He always asks the best questions. He is a gift to science and science education

  • @toolebukk
    @toolebukk วันที่ผ่านมา +8

    21:50 those red numbers are the ones generated by the broken seam of the previously joined hexagon and quadrilateral, what in the octagon used to be the arch combinations of 5,6,7,8 in the now hexagon, to 2,3 in the now quadrilateral. And the overlapping 1's is the connection [1 4], now appearing twice rather than once.

  • @harriehausenman8623
    @harriehausenman8623 22 ชั่วโมงที่ผ่านมา +5

    Great video! 🤗

  • @ralphvercauteren9267
    @ralphvercauteren9267 วันที่ผ่านมา +13

    Does this work in higher dimentions?

    • @PhilBagels
      @PhilBagels 18 ชั่วโมงที่ผ่านมา +6

      That's your homework assignment!

    • @lonestarr1490
      @lonestarr1490 18 ชั่วโมงที่ผ่านมา

      You mean if you tetrahedronulate the Platonian solids?
      (Wait, is the even possible?)

    • @swingardium706
      @swingardium706 17 ชั่วโมงที่ผ่านมา

      @@lonestarr1490 I don't see why not, for a strictly convex polyhedron you can take any 4 points and form a tetrahedron, or choose any two points and form a line. Although I wonder if you need to consider the planes defined by any three points in the shape for this problem since we're jumping up one dimension...

    • @exerciseetc.147
      @exerciseetc.147 16 ชั่วโมงที่ผ่านมา +1

      You might need a three-dimensional frieze...?

    • @PhilBagels
      @PhilBagels 16 ชั่วโมงที่ผ่านมา

      @@lonestarr1490 They don't have to be Platonic solids. Any convex polyhedron would do, doesn't have to be regular. Polyhedrons with concavities might cause extra complications, so let's leave that case until later.

  • @VincentZalzal
    @VincentZalzal ชั่วโมงที่ผ่านมา

    I particularly enjoyed the shot at 17:50 of intense concentration :)

  • @agargamer6759
    @agargamer6759 วันที่ผ่านมา +3

    Frieze patterns are cool!

  • @ColemanMulkerin
    @ColemanMulkerin 14 ชั่วโมงที่ผ่านมา

    Best left handed penmanship I've ever seen.

  • @GIORGIOFornara
    @GIORGIOFornara 16 ชั่วโมงที่ผ่านมา +1

    so this tool should be pretty useful in topology to check equivalence between shapes

  • @delecti
    @delecti 23 ชั่วโมงที่ผ่านมา +5

    Do you happen to know why the captions are disabled?

    • @k0pstl939
      @k0pstl939 18 ชั่วโมงที่ผ่านมา

      Probably waiting on official subtitles and not wanting auto-generated ones

    • @delecti
      @delecti 18 ชั่วโมงที่ผ่านมา +1

      @@k0pstl939 Maybe, but considering that most views happen right after a video goes live, that means that most viewers wouldn't be able to have any subtitles at all.

    • @k0pstl939
      @k0pstl939 18 ชั่วโมงที่ผ่านมา +1

      @delecti I'm not saying that that's what they should do, just guessing what they may have done

  • @luisjalabert8366
    @luisjalabert8366 18 ชั่วโมงที่ผ่านมา +1

    It has become so weird to me to see people start counting from 1 instead of 0

  • @user-beerus
    @user-beerus วันที่ผ่านมา +19

    Frieza?

  • @ribayah
    @ribayah วันที่ผ่านมา +21

    Is there any concrete application of the friezes?

    • @shoopinc
      @shoopinc วันที่ผ่านมา +4

      NO

    • @adamnealis
      @adamnealis วันที่ผ่านมา +13

      I suppose you could make a concrete frieze.

    • @yoram_snir
      @yoram_snir วันที่ผ่านมา +9

      It seems that at the end of the video, it is described as building blocks for more complicated proofs.
      I would not be surprised if those are used to improve performance of categorizations in Machine Learning.

    • @Giantcrabz
      @Giantcrabz วันที่ผ่านมา +2

      who cares

    • @NottoriousGG
      @NottoriousGG วันที่ผ่านมา +4

      GPU tricks waaaay above your paygrade

  • @Flikus97
    @Flikus97 17 ชั่วโมงที่ผ่านมา

    Was there another video in which you cited Cluster Algebras?

  • @ShawnPitman
    @ShawnPitman วันที่ผ่านมา +19

    Numberphile at the beginning: “and that’s how you know there are infinite primes?”
    Numberphile now: “first we invent a Frieze, then we invent this rule, then we write an infinite number of ‘1’s and then if you do this another thing happens!”

    • @jayantchoudhary1495
      @jayantchoudhary1495 วันที่ผ่านมา +4

      because there are only so many things that are simple but still engaging, but still abstract math has it's use in developing ways to solve complex problems

    • @themathhatter5290
      @themathhatter5290 23 ชั่วโมงที่ผ่านมา +3

      If you don't have curiosity in the fringes of math, you're free to watch all their number-titled videos. After all, there would never be fringe applications in numbers, right? Everyone knows what a number is.

  • @alveolate
    @alveolate 21 ชั่วโมงที่ผ่านมา +2

    please turn on subtitles :(

  • @GvinahGui
    @GvinahGui 4 ชั่วโมงที่ผ่านมา

    Deb Morgan is alive! 😃

  • @jorgechavesfilho
    @jorgechavesfilho 15 ชั่วโมงที่ผ่านมา

    Great Coxeter!

  • @pierreabbat6157
    @pierreabbat6157 วันที่ผ่านมา +1

    Not to be confused with freeze fracture.
    Does this have anything to do with frieze groups (symmetry groups of repeating patterns in infinite strips)?

    • @darksecret965
      @darksecret965 วันที่ผ่านมา

      This def feels like an isomorphism and it's Conway so I don't doubt the paper is related with group theory

  • @luisfelipe7351
    @luisfelipe7351 21 ชั่วโมงที่ผ่านมา +1

    Would you like to see an interesting relationship? If I replace the variable of any
    polynomial with a prime number and obtain the remainder of the division by certain small
    numbers, I can obtain several series of combined results that are specific to each prime number.
    If I do the same with integers and consider only the series obtained by a particular prime
    number, for example 104729, I can verify that the counting of prime numbers with the same
    sequence occurs in such a way that if I count how many primes there are up to the given prime
    number among the integers... the quantity found will be exactly equal to how many times this
    series of remainders is true among the series of primes that are also equal to this specific series,
    and consider that the position with which these series of remainders have as a position among
    the series counted among the primes is completely random and yet when I count the number
    of times that the series of remainders appears in the group of integers, it gives exactly the
    position of the position of the prime number in particular

  • @blablamannetje
    @blablamannetje 6 ชั่วโมงที่ผ่านมา

    "subtiles / closes captions unavailable"?!

  • @danpatterson8009
    @danpatterson8009 20 ชั่วโมงที่ผ่านมา

    Not only that, she can do them left-handed.

  • @RGAstrofotografia
    @RGAstrofotografia วันที่ผ่านมา

    Looks like the Roofed Subdivided Poligons (RSP) of Norman J. Wildberger that he uses to derive the formula for ANY polinomial equation! 🤔

  • @CompuPhysix
    @CompuPhysix วันที่ผ่านมา

    How do you make your animations?

  • @Mephisto707
    @Mephisto707 23 ชั่วโมงที่ผ่านมา +6

    Frieze is Goku’s archenemy.

  •  วันที่ผ่านมา +2

    Seems very usefull for computing how a surface represented by a mesh can be teared...

  • @deltalima6703
    @deltalima6703 วันที่ผ่านมา

    Reminds me of langlands for some reason

  • @ig2d
    @ig2d วันที่ผ่านมา +8

    at 2:17 - never confuse mathematics with arithmetic!
    😊

  • @bigsarge2085
    @bigsarge2085 19 ชั่วโมงที่ผ่านมา +1

    👍🏻👍🏻

  • @radhaprabhu7371
    @radhaprabhu7371 8 ชั่วโมงที่ผ่านมา

    I challenge you as tenth grader to solve it.Construct a equilateral triangle whose height is larger than its side(note:triangle is not mandatory to be constructed geometrically) it seems like impossible but think outside the box ok my name is hareeshvar

    • @filipsperl
      @filipsperl 8 ชั่วโมงที่ผ่านมา

      Use non-euclidian geometry?

    • @radhaprabhu7371
      @radhaprabhu7371 7 ชั่วโมงที่ผ่านมา

      @filipsperl no its not that advanced

  • @yktserea2214
    @yktserea2214 2 ชั่วโมงที่ผ่านมา

    Help me

  • @MakerBees333
    @MakerBees333 วันที่ผ่านมา +2

    Fries-zes pronounced like 🍟 French ‘Fries(es)’
    The polygon arcs look like fries, each Friezes looks like a box of McDonalds 🍟 when outlined, it is spell the same way Fries is pronounced in American Frie(z)…
    You can’t fool me 🤨
    😁
    😉

  • @ibrahiymmuhammad4773
    @ibrahiymmuhammad4773 วันที่ผ่านมา

    Hahahaha

  • @racecarrik
    @racecarrik วันที่ผ่านมา +4

    Where would we be without neurodivergent minds

    • @Mike-ve3pt
      @Mike-ve3pt 20 ชั่วโมงที่ผ่านมา

      Not on a phone connected to the internet, that's for sure!

  • @qwerxrd
    @qwerxrd วันที่ผ่านมา +7

    Illegal to be this early

  • @tpat90
    @tpat90 วันที่ผ่านมา +7

    I mean it's not really doxxing, but showing some intern IP from the university machines is a bit sketchy.

    • @hoebare
      @hoebare 8 ชั่วโมงที่ผ่านมา

      Based on context I'm assuming you mean intern(al) IP(v4) (address)? I didn't see where in the video that was, but in any case I'm curious how a malicious actor would exploit this information?
      I'm also assuming there's some angle I've missed so I'm eager to hear your thoughts.

  • @subnormality5854
    @subnormality5854 22 ชั่วโมงที่ผ่านมา +2

    Your videos fall into 2 diametrically opposed categories for me - interesting as historical matter, and totally incomprehensible. So, apologies for unsubbing and resubbing so many times.

    • @carltonleboss
      @carltonleboss 22 ชั่วโมงที่ผ่านมา

      Same here.

  • @MusicalEutopia
    @MusicalEutopia วันที่ผ่านมา +1

    🫰🏿 mississippi

  • @ldslfasdafasdfsadfsdf6233
    @ldslfasdafasdfsadfsdf6233 วันที่ผ่านมา +1

    this was a 5am upload

    • @vytah
      @vytah วันที่ผ่านมา

      But it was uploaded at 10

    • @mcdonalduck
      @mcdonalduck วันที่ผ่านมา +1

      They're in Europe

    • @curtisblake261
      @curtisblake261 วันที่ผ่านมา +3

      It's always 5:00 a.m. somewhere.

    • @dannydandaniel8040
      @dannydandaniel8040 วันที่ผ่านมา

      3am here

    • @pedrosaune
      @pedrosaune วันที่ผ่านมา

      7am here

  • @vivekadvani
    @vivekadvani 20 ชั่วโมงที่ผ่านมา

    Small Error at 6:23 : The frieze pattern was correct on the hexagon till one fame back but then it got rotated by one vertex. So instead of 313131 it became 131313 which incorrectly represents the number of triangles at that vertex. But as always I love all numberphile videos so kudos to all of you 🤍🤍🤍🙏🙏🙏