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Mathematician Answers Geometry Questions From Twitter | Tech Support | WIRED

Mathematician Jordan Ellenberg answers the internet’s burning questions about geometry. How are new shapes still being discovered? Where are we using Pythagorean theorem in real life? How many holes are in a…straw? Ellenberg answers all these questions and much, much more! Jordan Ellenberg’s book Shape is available on Amazon or Penguin Random House Director: Lisandro…

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Mathematician Jordan Ellenberg answers the internet’s burning questions about geometry. How are new shapes still being discovered? Where are we using Pythagorean theorem in real life? How many holes are in a…straw? Ellenberg answers all these questions and much, much more!

Jordan Ellenberg’s book Shape is available on Amazon or Penguin Random House

Director: Lisandro Perez-Rey
Director of Photography: Constantine Economides
Editor: Richard Trammell
Expert: Jordan Ellenberg
Line Producer: Joseph Buscemi
Associate Producer: Brandon White
Production Manager: D. Eric Martinez
Production Coordinator: Fernando Davila
Casting Producer: Nick Sawyer
Camera Operator: Christopher Eustache
Gaffer: Rebecca Van Der Meulen
Sound Mixer: Michael Guggino
Production Assistant: Sonia Butt
Post Production Supervisor: Alexa Deutsch
Post Production Coordinator: Ian Bryant
Supervising Editor: Doug Larsen
Additional Editor: Paul Tael
Assistant Editor: Billy Ward

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181 Comments

181 Comments

  1. @mythicalgiraffe8830

    December 5, 2023 at 6:09 pm

    I used the Pythagorean theorem the other day when I was trying to find out how big of a corner tv stand I could fit in my living room without it sticking past the edge of a doorway… so that’s something, right?!

  2. @callum7496

    December 5, 2023 at 6:09 pm

    Zero hole believers👇

    • @Bacon_and_Busch

      December 5, 2023 at 6:46 pm

      Holes don’t exist!

      A hole is analogous to “cold”: neither are really a thing, just a lack of a thing.

      Just because it’s symmetrical doesn’t mean it’s real.

  3. @vladzatoloka

    December 5, 2023 at 6:15 pm

    Mate the original Tetris is not Nintendo >__<

  4. @murmol444

    December 5, 2023 at 6:25 pm

    10:54 Geometry is the only part of math that makes you prove things
    Interesting

  5. @user-co3us5ml8c

    December 5, 2023 at 6:28 pm

    Really? No one? Cool and all but… Euklid… Actually Euklidis being his real name… Was Greek… Not North African…! I times like these, where cultural appropriation is “important”, please get actual important cultural facts straight.

  6. @Nova04550

    December 5, 2023 at 6:43 pm

    I love how he just had a pringle

  7. @Ekklo

    December 5, 2023 at 6:45 pm

    HS Geometry teacher here. Super excited to watch this.

  8. @DevoutSkeptic

    December 5, 2023 at 6:50 pm

    5:06 Topologically there is 1.

  9. @aromaticsnail

    December 5, 2023 at 6:53 pm

    15:25 this is less about Geometry and more about Geography and, more specifically Cartography and the ways this sciences have been use for political gains since their inception.

  10. @jessemarchand5694

    December 5, 2023 at 6:59 pm

    In regards to holes, there’s two types of holes, through holes and blind holes. A straw has one through hole. A bottle has one blind hole.

  11. @justinmamros

    December 5, 2023 at 7:03 pm

    HEXAGONS ARE THE BESTAGONS! So sayith Lord Grey!

  12. @DevoutSkeptic

    December 5, 2023 at 7:04 pm

    9:50 this seems less amazing when you realize there is a corresponding ratio for every regular n-gon when dividing its perimeter by its diameter. A circle is just an “infinity-gon”.

  13. @dandy-lions5788

    December 5, 2023 at 7:04 pm

    Actually a bottle has zero holes. A cup (without a handle) has zero holes. They are topologically equivalent to a sheet.

  14. @TrAnMu

    December 5, 2023 at 7:08 pm

    Honeycombs are hexagons because hexagons are the bestagons.

  15. @bradholc

    December 5, 2023 at 7:15 pm

    Would love to hear this man talk about the number 137

  16. @zestyaardvarks

    December 5, 2023 at 7:16 pm

    Conclusion, there are 0 holes in a straw

  17. @tcrmn

    December 5, 2023 at 7:23 pm

    I like this, was never good at maths except for geometry, it was different

  18. @lexitorius6123

    December 5, 2023 at 7:38 pm

    Jordan sounds similar to Sal Kahn which is really hitting the math nostalgia

  19. @tabletalenovo9695

    December 5, 2023 at 7:43 pm

    10:53 if he actually thinks all proofs are geometrical he doesn’t know math

  20. @gfrank98

    December 5, 2023 at 7:59 pm

    Hexagons are the bestagons.

  21. @richskater

    December 5, 2023 at 8:17 pm

    Pythagorean Theorem is kinda overrated IMO. Law of Cosines should be taught earlier. Not enough people know Pythagorean Theorem is just a specific case of a much more powerful formula.

  22. @Vyzard

    December 5, 2023 at 8:19 pm

    I’ve never heard someone talk so much about holes before, it slowly triggered my trypophobia 😂

  23. @hughjazz4936

    December 5, 2023 at 8:22 pm

    Took me almost 10min to realise I own on of this guys’ books. “How not to be wrong”. Great read.

  24. @riotpaladin9764

    December 5, 2023 at 8:28 pm

    I just watched a 17 minute video about math of all things, and was entirely entertained by the presenter. Incredible.

  25. @TheDarkSidePoet

    December 6, 2023 at 6:24 am

    So… I shouldn’t use the golden ratio to lose weight?

  26. @HelgaCavoli

    December 6, 2023 at 6:39 am

    7:40 Hexagons are the bestagons.
    For more on this: go to GCP Grey.

  27. @asdfghyter

    December 6, 2023 at 6:48 am

    the way I think about the holes in the straw is that it has 1 hole with two openings. a water bottle has one opening and zero holes

  28. @alexandrechaves7653

    December 6, 2023 at 6:50 am

    the naïve platonism (that should have died way back with the non-euclidean geometries, btw) is a bit unnerving, but he is sooo cute that i almost don’t mind it

  29. @evanliveshere

    December 6, 2023 at 6:55 am

    I fell in love with him !!! All men are ruined !!!! Thanks wired !!!!!!!!!!!!

  30. @lukasclark884

    December 6, 2023 at 7:05 am

    Isn’t that actually the 3dimensional shadow of the hypercube instead of the hypercube itself?

  31. @alexstremme6839

    December 6, 2023 at 7:08 am

    Recent use of Pythagoras in “real life”: there’s a wall in the “spare room” on which we want to mount a screen for gaming/streaming. The wall offers a maximum width of “W”, but screen sizes are only ever quoted in terms of the length of the diagonal. What maximum screen size (in terms of diagonal) can we fit into the available width?

  32. @user-nz7ck6zr6o

    December 6, 2023 at 7:18 am

    ok i’m officially dumb.. i understood the questions but not any of the answers.

  33. @June-HeeKim-ji8rx

    December 6, 2023 at 7:31 am

    The guy in the vid sounds like the Khan Academy guy

  34. @azcurraarndt899

    December 6, 2023 at 7:47 am

    Kudos for math person for mindblowing me with an effing straw

  35. @st33ldi9ital

    December 6, 2023 at 8:57 am

    Oh… I know all about the “arithmetic of holes”

  36. @TheCollector316

    December 6, 2023 at 9:18 am

    The Pythagorean Theorem bit was just excellent.

  37. @TheCollector316

    December 6, 2023 at 9:24 am

    My wife didn’t believe me I was learning about geometry when she overheard this video talking about one-holers and two-holers.

  38. @JamesFAFOCreel

    December 6, 2023 at 9:47 am

    I’m a carpenter, and I use this every day to make sure my boxes are square

  39. @MikolajF

    December 6, 2023 at 9:54 am

    Closed after holes question… sorry, but there is one hole in straw and zero in a bottle. Topologicaly bottle is the same as plate. Does plate have holes? I can’t agree of saying that both sides are right just for sake of number of views.

  40. @sideactivist

    December 6, 2023 at 11:16 am

    honey comba are hexagons because hexagons are the bestagons

  41. @caricatuba

    December 6, 2023 at 11:56 am

    That guy know absolutely nothing about the golden ratio

  42. @drshreyassingh1070

    December 6, 2023 at 12:01 pm

    It is not Pythagoras theorem it is Baudhyayan theorem it was first given by maharishi bodhyayan

  43. @RaudyTube

    December 6, 2023 at 12:04 pm

    Honeycombs are hexagonal because hexagons are bestagons. Honey bees know that.

  44. @bessermt

    December 6, 2023 at 12:44 pm

    Try Trisolve 📐

  45. @Neptoid

    December 6, 2023 at 1:22 pm

    Awesome! He visited topics I have heard of before but named them so elegantly that I’ll never look upon them the same again!

  46. @blaisemennia9910

    December 6, 2023 at 1:41 pm

    Those giving examples of how they used pythagorean theorem are literally proving his point 💀

  47. @oONodokaOo

    December 6, 2023 at 2:11 pm

    I went through a life altering moment when maths and geometry (which I hate) were liked to MCU and Inception (which I love) in such a skillful and passionate manner that it created a singularity within myself

  48. @Kahoneki

    December 6, 2023 at 3:19 pm

    10:52 did bro just say geometry is the only field of maths where you have to prove something?

  49. @wtfpwnz0red

    December 6, 2023 at 6:56 pm

    Did this psychopath just bite into a pringle instead of putting the whole thing in his mouth? Absolutely haram.

  50. @Ninjaeule97

    December 7, 2023 at 10:30 am

    Pythagoras’ theorem is incredibly useful when you are trying to make right-angle triangles. Since you generally want a house to have walls at right angles to each other, you can achieve that by just building a decently sized triangle that you can place into the corners. Apparently, not every mason knows this considering the ones that built our house screwed up and built the wall of angle to each other.

  51. @christopherwatson8840

    December 7, 2023 at 10:42 am

    Carpenters (and others) use the converse of the Pythagorean Theorem all the time when they use the 3-4-5 rule to see if the corner they made is actually a right angle.

  52. @ChipMunky

    December 7, 2023 at 12:43 pm

    Thank you to everyone at Wired for making sure this always says “Twitter”

  53. @alexpleshy8565

    December 7, 2023 at 1:04 pm

    I’d master geometry if this dude taught me maths

  54. @occularpatdown

    December 7, 2023 at 1:05 pm

    Hexagons are the bestagons

  55. @lordfluffles3996

    December 7, 2023 at 1:05 pm

    If the water bottle had 1 hole, than a plate or a frisbee must also have 1 hole.

  56. @user-pu9qe1nn2r

    December 7, 2023 at 1:31 pm

    It’s an honest, stupid and wise questipn, plz do answer Why do we have to proof “A Triangle is a Triangle?”

  57. @MrTigerpirro

    December 7, 2023 at 1:53 pm

    A straw has one hole. It can have many openings, or none (although, would it still be a straw?).
    You can think of it like this, if you drill a hole through a block of wood, you have a hole with two openings. Glue the openings shut, and the hole is still there.
    The real question starts when you drill another, intersecting hole.

  58. @MrTigerpirro

    December 7, 2023 at 1:56 pm

    If you make a circle out of tiny square pixels, the circumference is 4x the “diameter”.
    When does the “resolution” get fine enough for it to become 2πr?

  59. @ripleyhrgiger4669

    December 7, 2023 at 2:01 pm

    I think everyone learned a valuable lesson about holes today.

  60. @RacingPepe

    December 7, 2023 at 2:04 pm

    Jordan told me to imagine a person with no sense of purpose so I came down here in the comments section.

  61. @toolebukk

    December 7, 2023 at 2:32 pm

    Jordan Legendberg!

  62. @TheHarrip

    December 7, 2023 at 2:50 pm

    My conjecture is a straw has 3 holes one in the middle. Like joining two tunnels when they meet in the middle the third hole is formed. 😊

  63. @dougsundseth2303

    December 7, 2023 at 2:59 pm

    If a straw with one closed end has one hole, then so does a typical dinner plate. Dinner plates that don’t have a flat bottom would typically have two holes. Leaving aside the formal topology arguments, this is a question of semantics and is strongly affected by context.

  64. @marior.5796

    December 7, 2023 at 3:34 pm

    6:17 In a straw there is the +1 hole and than the -1 hole. One is the Negativ of the other.
    +1-1= 0
    Conclusion there is no hole in a straw.

    Simple math taught at the Swedish University of Longstocking and invented by the Swedish mathematician Pippi Långstrump.

  65. @kenwalter3892

    December 7, 2023 at 4:05 pm

    Had to stop at the 2 points(simple) vs 3 points(infinite) section.
    Made me think of Tree 3. How the sequence goes 1, 3, beyond comprehension huge. Any relation between these 2 ideas?

  66. @fejerama

    December 7, 2023 at 4:32 pm

    A hole only exists in 3 dimensions. If it were in 2 dimensions it would be a circle. Therefore a straw only has one hole.

  67. @longshlongsilver2

    December 7, 2023 at 4:36 pm

    Dodged that topology question though didn’t he.

  68. @lowendgamerleg1227

    December 7, 2023 at 4:51 pm

    For the straw I would say it has one extruded hole or two holes

  69. @hardcoregandhi

    December 7, 2023 at 5:06 pm

    Did this guy write a book based on Matt Parkers’ channel?

  70. @moor532

    December 7, 2023 at 5:38 pm

    I used the pythagorean theorem many a times to calculate whether I could assemble a cupboard lying sideways on the floor and then push it up against the wall or whether the ceiling was too low and I had to build it in its standing position.

  71. @seizan88

    December 7, 2023 at 5:59 pm

    The mobius strip joke crackt me up 😂😂😂❤ amazing

  72. @BenjamintheTortoise

    December 7, 2023 at 6:39 pm

    This was a good one!! He’s an excellent communicator and super engaging! Loved this ❤️😊

  73. @danielsullivan4360

    December 7, 2023 at 6:50 pm

    I used Pythagorean Theorem to find out how long of a wire was needed to run through the ceiling of a Walmart between two departments, since I could only measure the two right-angle sides, but the wire needed to run diagonally.

  74. @luciaceba4640

    December 7, 2023 at 8:41 pm

    northern africa???

  75. @vishnupersaud986

    December 7, 2023 at 8:53 pm

    That’s not true, a water bottle has zero holes.

    • @vishnupersaud986

      December 7, 2023 at 8:53 pm

      In the exact, same way, a coffee mug only has one hole

  76. @kennyalbano1922

    December 7, 2023 at 8:57 pm

    When I saw the thumbnail for this video asking how many holes a straw has my immediate reaction was to try to mentally topographically deform a ‘straw’ into n-hole toruses which I did to give me global topological property of a straw having 0 holes. Though to be honest since I was a kid I have struggled very hard to visualize anything in my mind mentally except for the most basic abstract mathematical ideas such as regular tetrahedron’s in n- dimensional space, such as hypercubes, hyper spheres, basically repeating patterns and shapes that follow well defined rules. But trying to visualize a tree or especially a person is more difficult for me. I wonder if this is related to my autism. I was always special needs in most of my classes though use to be a year or two ahead in my math classes. I remember always asking my teachers during recess and when getting on the bus in kindergarten and first grade for a math problem but I kept asking for ones that were more challenging like the square root of 36 or 25 at the time. Though I did eventually fail my first math class then fail it 2 more times before dropping out of after 3 and a half years trying to get my bachelors as a full time student eventually. I never did learn proofs sadly.

  77. @epiccg6872

    December 7, 2023 at 9:19 pm

    fun fact: you can use any variation of Pascal’s triangle to find powers of a two digit number by carrying the digits over.

  78. @samhaskell7035

    December 7, 2023 at 9:20 pm

    Proud no holer being proven right 👍🏻

  79. @jayjames8026

    December 7, 2023 at 10:24 pm

    ok the straw section was legit.. well worth the watch

  80. @wah-world

    December 7, 2023 at 11:13 pm

    Oh wow, he definitely has some underlying health condition forming. He needs to get checked out, those clubbed nails are an indicator of something not good happening internally.

  81. @Fitzrovialitter

    December 8, 2023 at 7:01 am

    5:52 You are changing the goalposts. If you pinch the bottom of the straw, it is no longer the straw as we understand it to be in your question, or what we commonly recognize to be a straw.

  82. @djmaxxsaint

    December 8, 2023 at 7:16 am

    I loved geometry since High School. It also helped me win a 9 Ball Championship is NJ. 😊😊😊😊😊😊

  83. @blackholesun4942

    December 8, 2023 at 8:07 am

    😊

  84. @davcaslop

    December 8, 2023 at 8:16 am

    2:20 uuh that hurt huh? HAHAHA I’m a student of mathematics, just in case xd

  85. @saboorhakimi9803

    December 8, 2023 at 8:41 am

    It’s called X

  86. @MasterChakra7

    December 8, 2023 at 8:45 am

    He’s wrong about the straw, it’s not either or two. Topology clears says it’s one.

  87. @izayus11

    December 8, 2023 at 10:16 am

    This guy may know his math. He may be a genius at that. But he is truly awful at being a math communicator. Not only is he heavily biased to a branch of math applications, he is painfully unimaginative. The first question he answered is very euro-Plato-logo centric. It totally misses the richness other cultures, other philosophies, other paradigms and systems, other creative interpretations bring to math.

    Do you think the pitagoras theorem is only used to measure distances?! That is like saying that the number 4 was only invented to count apples. My dude, measuring distances may be less than 0.1% of the use of the pitagoras theorem. Vectorial analysis is a an invetion that transformed the world. Newton mechanics would be incredibly impractical without the PT. Electricity cannot be understood without the PT.

  88. @TJonLongIsland

    December 8, 2023 at 10:31 am

    You lost me with your faulty logic argument on the number of holes in a straw.

  89. @TeatroGrotesco

    December 8, 2023 at 11:14 am

    So, Grover was teaching Geometry…?

  90. @figpicker

    December 8, 2023 at 12:53 pm

    I’m always ready to learn more about the arithmetic of holes.

  91. @Davoerlo

    December 8, 2023 at 4:02 pm

    I use pythag theorem in D&D sometimes when figuring out how high something is and distances for jumping. Technically it doesn’t matter but what is D&D if not math puzzles for grownups

  92. @junerichardson3377

    December 8, 2023 at 4:46 pm

    If you pinch the bottom of a straw, there are 0 holes. It would be homomorphic to a bowl, which is homomorphic to a sphere, which obviously has 0 holes. This is the answer according to differential topology

    • @junerichardson3377

      December 8, 2023 at 4:52 pm

      Also, “geometry is the only part of math where you have to prove something is true” is the wrongest statement I have ever heard in my life lol

  93. @michaeldunn1754

    December 8, 2023 at 5:02 pm

    Real life use for pythagorean theorem: You’re building a house, and you want to ensure (for obvious reasons, hopefully) that the corners of the house are “square” (90 degrees). A common way to do this is to measure the opposing corners in an X. If the house is a rectangle, then if the corners are 90 degrees, as expected, these two measurements would be the same. But what if the house isn’t a rectangle, or what if you’ve only built two of the walls and you want to check for “square”?

    Measure the length of the two walls you’ve built (lengths a and b), then measure the distance between the ends of the walls (length c). If a^2 + b^2 really does equal c^2, then your walls are indeed at a 90 degree angle to each other.

  94. @michaeldunn1754

    December 8, 2023 at 5:07 pm

    Because hexagons are the bestagons!

  95. @Etothetaui

    December 8, 2023 at 6:06 pm

    In what world is geometry the only math where you prove something is true?

  96. @Ratigan2

    December 8, 2023 at 10:29 pm

    7:34 Because hexagons are the bestagons

  97. @Ratigan2

    December 8, 2023 at 10:37 pm

    8:58 “Imagine a person with no sense of purpose.”

    **proceeds to stare directly into the camera**

  98. @Exp.No.Zenar-57

    December 8, 2023 at 10:44 pm

    I think of it as a straw having two openings but only one hole.

  99. @kibwe2092

    December 8, 2023 at 11:17 pm

    His enthusiasm kept me here.

  100. @ssholeEater

    December 9, 2023 at 1:28 am

    I would like to learn more about the arithmetic about holes, please.

  101. @strenter

    December 9, 2023 at 2:54 am

    5:30 Topologically seen a straw is a donut. Or a cup with a handle. 😂

  102. @c704710

    December 9, 2023 at 3:47 am

    a straw has 3 holes.

  103. @invox9490

    December 9, 2023 at 4:48 am

    These math explanations are full of holes.

  104. @acctsys

    December 9, 2023 at 5:31 am

    A straw has one hole, and two openings.

  105. @Kessoku

    December 9, 2023 at 7:12 am

    no, I can argue with you that a straw have two holes. it’s in and out , so 2. no matter how short you cut it, unless it becomes 1 dimensional. and that bagel also have two holes, since the bagel is 3 dimensional.

  106. @danielbass09

    December 9, 2023 at 7:33 am

    That’s not correct. If you pinched the straw you would close the hole and now it would be like a very narrow long bucket. The opening of the top of a bucket isn’t called a “hole” same for a glass for example. So if you picked a hole in the bottom again you create 1 hole again. So the correct answer is only 1 hole.

  107. @MikeHerzog_de

    December 9, 2023 at 3:34 pm

    Hexagons are the bestagons.

  108. @TylerMusgrave9

    December 9, 2023 at 3:40 pm

    OMG I just got a crazy idea: What is a straw has no holes: It is a sheet of plastic with the long edges joined together. Also, if you poke a hole in the bottom of a water bottle, aren’t you simply extending the hole? But then, if you screw on the cap, is there still a hole on the inside, or is there no hole at all?

    • @clobre_

      December 10, 2023 at 5:08 pm

      Check out the Stand-up maths video on topology: Why does a balloon have -1 holes? It’s super interesting and will answer your questions 🙂

    • @TylerMusgrave9

      December 11, 2023 at 9:28 am

      @@clobre_Thanks for the suggestion, I’ll check it out!

  109. @Brett101792

    December 9, 2023 at 4:17 pm

    If you pinch the bottom you have 3 holes.

  110. @youregonnaletityeetyouaway2882

    December 9, 2023 at 9:35 pm

    mostly enjoyed the video but i was gobsmacked when he said geometry is the only part of maths where you need to prove things rather than just getting an answer. i understand trying to simplify things to make explanations accessible to everyone but i dont think that should involve statements that are wholly factually incorrect about like .. the entire purpose of most of higher mathematics. i suppose you could make the argument that he was talking about high school but then he should have specified – using high school classes as a representation of an entire field is wildly misleading imo. otherwise love the explanations

  111. @tanishqgoyal400

    December 9, 2023 at 9:41 pm

    Naw, at 6:15 ish the holes problem, when he crushes it he destroys one hole, the pure hollow one with 2 sides, but creates another one. They are not the same hole. Therefore, there is one hole.

  112. @andrewseaton8353

    December 10, 2023 at 2:03 am

    Mathematicians can’t tell the difference between a donut and a coffee cup

  113. @colonelkurtz2269

    December 10, 2023 at 6:17 am

    He ate the Pringle. Im satisfied. 😊

  114. @akritisingh4719

    December 10, 2023 at 7:09 am

    Using pythagorian theorum to reach somewhere faster

    • @akritisingh4719

      December 10, 2023 at 7:11 am

      We call it pythagoras and use it as a verb

  115. @1stlullaby484

    December 10, 2023 at 10:40 am

    10:52 i disagree. It’s definitely not the only part of math where you are asked to prove something is true.

  116. @jolioding_2253

    December 10, 2023 at 2:33 pm

    Well if cut the straw in half, now there are at least two or 4 holes. if we repeat, this number tends to infinity. So maybe the straw is a continuum of an infinite amount of holes.

    • @clobre_

      December 10, 2023 at 5:05 pm

      He kind of means if you shrunk the straw in only length

    • @jolioding_2253

      December 11, 2023 at 3:43 pm

      @@clobre_ yes I know i just had a different perspective

  117. @CasabaHowitzer

    December 10, 2023 at 6:46 pm

    “It’s the only part of math where you’re asked to prove that something is true.” Oh man, if only this were actually true…

  118. @GlobalNomadPete

    December 10, 2023 at 6:51 pm

    @newheightshow someone needs to show this to Jason & Travis. 5:10 it’s as clear as mud.

  119. @andrew_owens7680

    December 10, 2023 at 7:05 pm

    If I understood correctly, a bottle has zero holes according to rules of topology, because it isn’t pierced. A straw has one hole because it is.

  120. @obiwanpez

    December 10, 2023 at 11:40 pm

    Oh, hey, Jordan! 🙂 Nice to see you outside of Twitter.

    • @obiwanpez

      December 10, 2023 at 11:53 pm

      7:20 – The Golden Ratio is “found” in a pine cone or pineapple by counting the number of spiral columns moving in either direction. There are three: one steep, one shallow, and one intermediate. The number of spirals of each type are usually consecutive Fibonacci numbers (or consecutive Lucas numbers).
      The ratios of consecutive Fibonacci numbers begins approaching the Golden Ratio. Eventually.

  121. @obiwanpez

    December 11, 2023 at 12:06 am

    14:00 – I use Pascal’s Triangle (probability), al-Karaji’s Triangle (binomial multiplication), and Yang Hui’s Triangle (number theory) all the time! (hint: these are the same thing, but better attribution given for the appropriate advancement. We need to think about the full story, and not merely give Pascal all the credit)
    My research expands the triangle into more dimensions (an n-Simplex) and the summation of more rows.

  122. @bimshake

    December 11, 2023 at 4:40 am

    Nah two holes still

  123. @djctoafn

    December 11, 2023 at 7:19 am

    Tesseract, great band!!

  124. @JordonPatrickMears11211988

    December 11, 2023 at 8:06 am

    I used Pythagoras in the army. It made going through bncoc incredibly easy because i didnt have to manually gind the distance between points. I had it exact everytime.

  125. @JvanLiempt

    December 11, 2023 at 8:16 am

    Geometry is the only field of math in which we are asked to prove something is true?

    That’s uh…
    Highly incorrect.

  126. @MessinAbout80

    December 11, 2023 at 9:45 am

    I’ve never heard anyone describe Euclid as “a guy who lived in North Africa” …

  127. @xraygamer9895

    December 11, 2023 at 10:41 am

    I always think of geometry as the study of spaces that have so much structure that they are interesting both analytically and algebraically(in that for instance, they have an inner product)

  128. @Jim-dl5xm

    December 11, 2023 at 12:21 pm

    Hey, I love this wired series! But I got to say this is one really special good one!

  129. @manderson9215

    December 11, 2023 at 4:23 pm

    omg hey that’s my friend’s dad!

  130. @nahkh1

    December 11, 2023 at 7:24 pm

    Euclidian geometry tastes like soap to me

  131. @garcipat

    December 11, 2023 at 11:05 pm

    The triangle of Pascal is also helpful with polynoms.

  132. @randomperson5579

    December 12, 2023 at 12:50 am

    If we have a round piece of paper, it has 0 holes, now if we close it up into a balloon you’ve caused a hole to be covered up which means you have -1 holes, now make a hole so it’s a bowl now it’s 0 holes as -1+1=0, now create a hole on the other end 0+1=1, a straw has 1 hole. you could say there’s 2 holes as well, now let’s cut the straw in half and each straw segment in half over and over til we have infinite pieces, now we could say a straw has infinite holes, but if we are to say a straw segment has 2 holes, then the infinite straw segments combined contain 2x infinite holes.

  133. @briss0101

    December 12, 2023 at 5:26 am

    1 hole, 2 openings.

  134. @tangsolaris9533

    December 12, 2023 at 6:05 am

    Thanks for the math talk! I’m convinced a straw has one hole, and a bottle has none. It’s just a fancy cup.

  135. @IoannisAndroulakis

    December 12, 2023 at 9:00 am

    The dude called Euclid who ‘lived in north Africa’ was in fact Greek, in case the professor on display thought he was Libyan or something.

  136. @DeanPelton98

    December 12, 2023 at 9:54 am

    When he got to the honeycomb question and he said
    One thing I can tell you
    For a second I thought he was gonna say
    “Hexagons… are the bestagons”

  137. @imicca

    December 12, 2023 at 10:56 am

    Maths*

  138. @imicca

    December 12, 2023 at 11:10 am

    Hexagons are BESTAGONS

  139. @rjharrold2907

    December 12, 2023 at 12:12 pm

    Cool video, happy to see someone else also appreciates how pringles are shaped so cool

  140. @Noah-lj2sg

    December 12, 2023 at 1:16 pm

    Hexagons are the bestagons

  141. @thebellcurve3437

    December 12, 2023 at 2:30 pm

    So a 3D cube is six 2D squares joined by contact at right angles, but a 4D tesseract is only two cubes? And joined with lines (not by contact) and at no particular angle? Seems arbitrary.

  142. @WillN2Go1

    December 12, 2023 at 3:17 pm

    If you walk out the front door of my house, around the side to the back then in through the back door, you go down 8 steps and up only 4. The floor of the house is level. There’s a trick of course, but find it. I don’t think you can. The real trick here is that these ‘distortion’ are everywhere, you just have to have the knowledge and insight to notice them.

  143. @stevegonzalesjr6007

    December 12, 2023 at 4:36 pm

    I’ve never liked math but I love this man’s enthusiasm.

  144. @chrismoore6359

    December 12, 2023 at 5:07 pm

    *The thing* that makes circles circles is the radius, so I champion C/r = tau = 2pi 😉

  145. @DJ-ov2it

    December 12, 2023 at 5:47 pm

    props to him for pronouncing Einstein correctly

  146. @bushidobrown6742

    December 12, 2023 at 9:23 pm

    5:05 straw question

  147. @markvoelker6620

    December 12, 2023 at 11:20 pm

    One.

  148. @Chemasaurus

    December 13, 2023 at 12:32 am

    Yes, the arithmetic of holes. I’ll get right on that.

  149. @andrewsepulveda9275

    December 13, 2023 at 2:01 am

    A straw has one hole. Not 2.

  150. @MrBlinky10101

    December 13, 2023 at 12:10 pm

    No way he just said a straw has 1 and 2 holes at the same time, and both sides are right. Hole is a topological term, and topologically, a straw is the same shape as a bagle, torus or coffee mug, and all of them simply have 1 hole. The example he gave of closing one of the “holes” of the straw to turn it into a water bottle is not a homeomorphic transformation, as you were closing tight 2 distinct areas of the shape. A water bottle, topologically, has no holes.
    This is not a matter of opinion, it is objective geometry.

  151. @mannubrahh

    December 13, 2023 at 2:09 pm

    How many holes are there in a straw?
    YES

  152. @JoinMeInDeathBaby

    December 13, 2023 at 4:23 pm

    He forget to mention that Euclid was Greek🇬🇷

  153. @BobSmith-fx9sz

    December 13, 2023 at 7:03 pm

    5:09 The straw thing just depends on your definition of a hole. If you define it as an opening through something, like a hole in your shirt, then a straw has only one hole. If it doesn’t need to perforate, if a pit in the ground is a hole, then a straw has two holes.
    This probably rifts off the word ‘hole’ having confusingly similar but strictly different meanings in language and in maths.

  154. @bergmayer

    December 13, 2023 at 7:12 pm

    The golden ratio, phi, occurs in nature because it’s the irrational number that is hardest to approximate with a fraction. It’s the “most irrational” of rational numbers and natural forms that use it have practical benefits

  155. @JackUpham

    December 13, 2023 at 7:14 pm

    This dude’s son is the captain of the Mock Trial team at my school 💀

  156. @jjdoughboy2103

    December 14, 2023 at 1:16 am

    I know theese questions are pre-picked but i find it funny that he just had a Pringle on hand

  157. @Dee_Da1

    December 14, 2023 at 1:25 am

    5:04

  158. @xpucm0ca

    December 14, 2023 at 3:23 am

    This guy is awesome 😀

  159. @TrinijayCyprusMusicD

    December 14, 2023 at 3:58 am

    Is Egypt North Africa?? Euclid was a Greek mathematician that lived in Alexandria

  160. @MrJFColt

    December 14, 2023 at 7:59 am

    Euclid was Greek.

  161. @rgbatom5145

    December 14, 2023 at 8:19 am

    A straw has one hole the same way a donut has one hole

  162. @SteveBakerIsHere

    December 14, 2023 at 8:32 am

    Hypercubes are used “for real” in many applications. In computer graphics we have chips that connect to four other chips…so if you connect up a lot of these chips to get more and more performance – you place them at the vertices of a hypercube.

  163. @capoman1

    December 14, 2023 at 9:48 am

    2:53 SURPRISE. Framers use pythagorean formula to make sure a frame is square. Rather than use a square, they know the bottom and side lengths and then make sure the hypotenuse is the right length to wnsure it is square…. Granted a carpenter’s calculator does the math for them.

  164. @ClonedGamer001

    December 14, 2023 at 10:13 am

    I think the issue with the “Does a straw have one hole or two?” is that everyone treats it as a mathematical problem when it’s more of a language problem.

  165. @christiandelosreyes202

    December 14, 2023 at 10:33 am

    wtf that straw blew my mind

  166. @IQLion

    December 14, 2023 at 12:22 pm

    For anyone who said you don’t use a Pythagorean theorem in life, go to the store and buy a ladder to climb on the roof of your house. Maybe you need to replace your roof, maybe you want to put up some lights, etc. Pythagorean theorem will tell you the shortest ladder you can get, where you can reach and still have a safely positioned ladder.

  167. @galacticmechanic1

    December 14, 2023 at 12:49 pm

    I just happen to have a mobius strip on my desk I made a couple days ago out of a cut off strip of card.

  168. @ryanburkett949

    December 14, 2023 at 1:19 pm

    How many holes does topology say a straw has?

  169. @XANDER_REED

    December 14, 2023 at 2:35 pm

    5:04 thank me later

  170. @XANDER_REED

    December 14, 2023 at 2:37 pm

    I am willing to learn about the arithmetic of holes 😂

  171. @kiddgamer2940

    December 14, 2023 at 3:16 pm

    ahahaha I love how he got all excited and nerdy on the straw question ‘😂😂

  172. @heroraindrop1614

    December 14, 2023 at 5:22 pm

    A lot at a molecular level (maybe)

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