Extra animations: kzfaq.info/get/bejne/ntZ-g7Oi0pepfZc.html Yellow Brick Road Sticker and T-Shirts: teespring.com/yellow-brick-numberphile More resources on the project: userhome.brooklyn.cuny.edu/aulicino/dodecahedron/
@whatisthis28094 жыл бұрын
How was your day?
@jamesmuldoon14274 жыл бұрын
G'day
@kasajizo89634 жыл бұрын
Yo Numberphile what happened to James Grime
@anastasiaklyuch27464 жыл бұрын
How LONG did it take to make those animations? You really did a great job!
@ZeroOskul4 жыл бұрын
A triangular hexacontahedron is also a regular solid.
@rif68764 жыл бұрын
Out on a 1st date. "So what do you do?" "I solved a 2000 year old problem on how to avoid your neighbors. Mathematically. My tattoo will explain it."
@uganasilverhand4 жыл бұрын
Of course, there goes any non-mathematician date.
@jetison3334 жыл бұрын
Oh man if my date did that, I would be in love.
@Ceelvain4 жыл бұрын
@@uganasilverhand Many women would love a guy passionated about his field and able to explain it well.
@uganasilverhand4 жыл бұрын
@@Ceelvain the wife's always asking me to stop talking about math, computers, and science
@rif68764 жыл бұрын
Didn't asteroids have a hyperspace button that transported you to a random spot? Sounds a lot like punching through a facet, traveling inside the solid, and punching out to the surface again.
@qlqnen4 жыл бұрын
Jayadev: "Pac-Man might be a reference from too long ago." Brady: "Asteroids!"
@moth.monster4 жыл бұрын
To be fair, Pac-Man is still a cultural icon. Most kids probably know about it still.
@korenn93814 жыл бұрын
@@moth.monsterYeah they do, there's a relatively new animation series about pac man.
@jacobdial24484 жыл бұрын
My mind did go to the half a press video
@chickeyy17924 жыл бұрын
@@korenn9381 Pixels?
@Joiner1134 жыл бұрын
@@korenn9381 there is?? Why
@phodder4 жыл бұрын
12:20 Was anyone else expecting him to turn around and lift his shirt to expose a back piece of 120 pentagons?
@matthuckabey0074 жыл бұрын
No
@jocelynnielsen91544 жыл бұрын
@@matthuckabey007 but we did hope a little
@madkirk74314 жыл бұрын
·...·
@OrangeC73 жыл бұрын
I wasn't, but now I feel like I should have
@shaunlastname3912 жыл бұрын
It's the reason I watched, had a feeling
@staglomagnifico57114 жыл бұрын
"One of the central tensions in the Little Prince, other than the loss of childhood innocence, ..." I love how he just glosses over that
@aaronwalterryse42812 жыл бұрын
Well... he has to stay on topic
@littlestonesadventures3939 Жыл бұрын
Because that is not important
@macnolds41454 жыл бұрын
The featured mathematician is a uniquely elegant and fluid communicator. Also, the animations were tremendously illustrative and enjoyable. Loved it.
@alveolate4 жыл бұрын
including the animated Hannah Fry jogging?
@stuiesmb4 жыл бұрын
macnolds you could tell how well he understood this subject by how he could break it down into discrete parts and explain each aspect simply. Very charismatic and obviously very intelligent guy. A real treat to watch
@sleepytimekoolaid4 жыл бұрын
@@alveolate *especially* the Hannah Fry jogging.
@kemp104 жыл бұрын
Did you squint really hard when the jogger was on screen?
@NoName-zn1sb4 жыл бұрын
... Kind of
@JNCressey4 жыл бұрын
"There's the cube - everyone knows the cube." Just platonically though, right?
@PedanticAntics4 жыл бұрын
JNCressey this should have more likes
@bonob01234 жыл бұрын
BIBLICALLY
@mal2ksc4 жыл бұрын
Unless you're the Curator from _Gravitas._ We all know he's dry-humping the cubes instead of making new galleries, which is why the game is so short.
@subnormality58544 жыл бұрын
-sad cube noises-
@domlee59024 жыл бұрын
This is hilarious
@emo65774 жыл бұрын
I love the way he talks about the subject. It’s easier to feel interested when he makes it seem so exciting
@MeDoMeer4 жыл бұрын
I love how his blackboard is so intensely clean
@alspezial27473 жыл бұрын
he does everything in his head, no blackboard needed
@shaunlastname3912 жыл бұрын
Or he's a conman on the grift, making up shapes as he goes and glibly explaining it to get recognition and subsequent riches to pay for more body art. The conmans clean blackboard is a gullibility mirror 🤣
@cadeharris46314 жыл бұрын
Jayadev Athreya was my calculus teacher last year, super chill dude never thought I'd see him in a Numberphile video, small world I guess.
@samueltaylor99354 жыл бұрын
ayyyyy a UW fellow
@pentuplove65424 жыл бұрын
Shows the Rockefeller Education System works at making people unthinking.
@General12th4 жыл бұрын
@@pentuplove6542 What?
@joshuarosen62424 жыл бұрын
@@pentuplove6542 Er, what? Would I be correct in thinking that you didn't do very well in the education system?
@iamcleaver68544 жыл бұрын
What os his nationality? Persian? That is a strange name.
@yourface42484 жыл бұрын
I like this man. he went through insane amount of mental gymnastics to show the world his tattoo.
@madkirk74314 жыл бұрын
Ikr
@webgpu2 жыл бұрын
@Fremen unlike a certain "generation" of youngsters (and some oldass dudes too) who mark their bodies as if they were cattle. In the modern age, one of the first groups to mark their bodies were inmates, then whores, then the fkng nazis marked our brother jews, then these youngsters now.
@TheGamingLegendsOfficial2 жыл бұрын
@@webgpu that's a bit of a slippery slope fallacy, isn't it?
@pappaflammyboi57992 жыл бұрын
@@TheGamingLegendsOfficial Yeah, it's pretty slippery, but possibly not too far off the mark.
@jimviau3272 жыл бұрын
Well, He must be better than me, I have no tattoo to show off.
@supertrampolinethebatpony38414 жыл бұрын
What I really find amazing is that their simplest answer is so simple that it’s easily visualized by the human brain; it’s not abstract at all like so many of the proofs or conjectures discussed on this channel. Like you could show that example to a mathematically inclined middle Schooler and they would understand what was going on. I think that’s so wonderful!
@espen9904 жыл бұрын
I wish someone looked at me the way this guy looks at dodecahedrons.
@madkirk74314 жыл бұрын
OOF
@TheJwbooth2 жыл бұрын
That's why his chalkboard is so clean, erasing all those naughty angles and planes
@klauspeter21992 жыл бұрын
“How many pieces can I cut it into? I don’t know! Let’s find out!”
@UnkleRiceYo4 жыл бұрын
2:28 Academy nominates Numberphile for best animated short horror film.
@volodyadykun64904 жыл бұрын
It's adorable
@namethathasntbeentakenyetm36824 жыл бұрын
@@volodyadykun6490 Are you blind!? Look at it!
@volodyadykun64904 жыл бұрын
@@namethathasntbeentakenyetm3682 and you are mean
@Alistair4 жыл бұрын
@@volodyadykun6490 and you are trying to protect the feelings of a 3D model. Which happens to be possessed by a demon
@inigo87404 жыл бұрын
@@Alistair that mathematician may be meant to be Hannah Fry
@TheRetsekShow22364 жыл бұрын
"One of the central tensions in The Little Prince, other than the loss of childhood innocence" 😂😂😂
@tigershark88674 жыл бұрын
( ͡° ͜ʖ ͡°)
@loonycooney224 жыл бұрын
I don't know why, but I lost it when he said that.
@fictionmyth4 жыл бұрын
@@loonycooney22 I wish you luck on finding it. :D
@Irondragon19454 жыл бұрын
_its a great read..._
@trickytreyperfected14824 жыл бұрын
@@loonycooney22 Oh gosh, you lost your innocence too?
@brianbethea30693 жыл бұрын
3:01 "One of the central tensions in The Little Prince *_(other than the loss of childhood innocence)_* is that the prince has a sheep on his planet..." This made me laugh.
@mnek7424 жыл бұрын
Interesting! I had no idea something like this was unknown until recently. Just for fun I calculated the areas of the two pieces separated by the primary "yellow brick road". Apparently they're not the same in area, one piece is 9.66% larger than the other. The larger piece is 65-sqrt(5) parts out of 120...
@arnavrawat98642 жыл бұрын
how did you do it
@mnek7422 жыл бұрын
@@arnavrawat9864 Hmm, it was a while back, but if you look at the video at 6:50, you can find the areas of the two halves of the surface by carefully measuring all lengths and angles, and finding the area of a certain right triangle whose hypotenuse is the red line. I could produce a proof in a youtube video if there was enough interest, but alas you're the first person to ask! But thank you for asking.
@Joao-uj9km2 жыл бұрын
😀
@PedroSilva-re6ck2 жыл бұрын
@@mnek742 Honestly, i would watch the proof 1000x, POST IT.
@steveparsons67192 жыл бұрын
Well done for working this out. With the areas of the two surfaces being in the ratio of about 1·0966:1, I wonder whether the volumes of the two pieces are in the ratio of about 1·1483:1 ?
@DTHRocket4 жыл бұрын
This guy probably never gets invited to play D&D with his friends. "Do you guys wanna know a cool thing about this D12?" "Here we go again..."
@ismailshtewi85604 жыл бұрын
i'd happily abandon D&D to talk geometry with this dude
@remixtheidiot57714 жыл бұрын
Ismail Shtewi who wouldn't? It is statistically proven that a majority of us d&d players are absolute nerds!!! (I'm a nerd and I play d&d so everyone else who plays d&d must also be a nerd!)
@TopLevelJiuJitsu4 жыл бұрын
🤣
@CosmicPlatonix4 жыл бұрын
@Cliven Longsight Quick, find a mathematician who can get super-excited about antiprisms and isohedra!
@percy65324 жыл бұрын
Thats is why my dnd party hates me.
@laurusschluep74644 жыл бұрын
When a video is called "a new discovery about dodecahedrons" you know you're in for a ride
@danielalba76514 жыл бұрын
Ahem, for a walk.
@zethyr88334 жыл бұрын
@@danielalba7651 jog
@SquirrelASMR2 жыл бұрын
@@zethyr8833 a roll
@TheRojo3872 жыл бұрын
Dodecahedra is the plural.
@Triantalex9 ай бұрын
false.
@hughes28964 жыл бұрын
“Other than the loss of childhood innocence
@sahemali22044 жыл бұрын
Nice
@satyris4104 жыл бұрын
That was what I'd suggest the path be called: loss of innocence path
@Om_13373 жыл бұрын
He quoted Ecclesiastes too
@lawrencedoliveiro91043 жыл бұрын
@@Om_1337 To show that the holy book was wrong!?
@torin10064 жыл бұрын
4:19 "It makes sense to go over a side, but it doesn't make sense to go over a corner." Me: **laughs in non-Euclidean**
@isaenzemilio55744 жыл бұрын
Cries in euclidean
@danielm.14414 жыл бұрын
Literally the cleanest blackboards I've seen in my life.
@hps3624 жыл бұрын
...those _are_ blackboards...
@fringedwig46704 жыл бұрын
@Hoaxcrit yas
@octooopus4 жыл бұрын
The line on the dodecahedron almost hitting the points is like the DVD menu icon almost hitting the corners of the screen.
@sirlight-ljij4 жыл бұрын
It is the exact same problem, as bouncing is continuing towards into a mirror image
@wmhilton-old4 жыл бұрын
Glad I'm not the only one who spent WAY to much time watching and waiting for a corner bounce to happen. I wonder if we had the same DVD player as kids?
@jekylhyde18434 жыл бұрын
I remember watching that and trying to solve it.
@CaptainWizard30004 жыл бұрын
No, you should be glad that your tv was not shaped as a pentagon, because then you could've been watching forever...
@thornorium89834 жыл бұрын
"The Dodecapath" for the simple path name?
@msg.timothy49144 жыл бұрын
I'm stealing this for a school assignment
@Simon-vf2bq4 жыл бұрын
2:38 Its gonna haunt me in my nightmares
@sorrymyenglishbad25354 жыл бұрын
Never knew I'd be so interested in platonic solids and mathematical proofs. Sick video.
@ar_xiv4 жыл бұрын
Well you have a truncated cube in your icon so that’s something
@DerpMuse4 жыл бұрын
@@ar_xiv Its because only us cool kids use types of cubes in our pfp xD
@lhl25004 жыл бұрын
@@DerpMuse No need to be hyper about it.
@jeffvader8114 жыл бұрын
@@DerpMuse Oi, do you have a licence for that 4th spatial dimension?
@Triantalex9 ай бұрын
??
@HalcyonSerenade4 жыл бұрын
It didn't surprise me at all when he said they've made educational materials about this for schools, because his explanations already sounded streamlined in a "for non-math enthusiasts" sense. Not just the words themselves, but his tone of voice implies much practice as well -- even compared to the Numberphile regulars, which is impressive!
@NoName-zn1sb4 жыл бұрын
... kind of
@majinoyal4 жыл бұрын
Deep love how you broke that down
@cinnamonbeardstud4 жыл бұрын
This guy is great, he is a very clear speaker and doesn't fumble words.
@FPrimeHD16184 жыл бұрын
This was my Number Theory professor in college. Hands down one of the best professors I have ever had. So cool seeing him on here!
@IanTanLK4 жыл бұрын
Mathematician: Platonic Solids. The rest of us: Dice
@TDGCmote4 жыл бұрын
Ian Tan MY SPECIAL D12 CLICK CLACK
@emmybee51894 жыл бұрын
Ian Tan Ah, a man of culture I see. For this you get advantage on your next skill check
@404dne4 жыл бұрын
EXOTIC ENGRAM
@uristmcdwarfington88634 жыл бұрын
@@404dne inDEEd
@shadycactus61464 жыл бұрын
the d10 is my least favorite die because it’s not a platonic solid
@unvergebeneid4 жыл бұрын
Who would've thought that there are still things to learn about the good old d12 :D
@Fruitabat4 жыл бұрын
So ddozen?
@J3rs3yM1k34 жыл бұрын
Not just for barbarians anymore. ;)
@QuantumFluxable4 жыл бұрын
@@J3rs3yM1k3 great axe wielders unite
@kugelblitzingularity3044 жыл бұрын
Ah the dirty dozens
@AlexJones-ue1ll4 жыл бұрын
It doesn't have to cry itself to sleep anymore!
@tristanrentz76874 жыл бұрын
Always great to see new faces on the show, but this guy takes the cake! His deep but light-hearted passion was infectious, accentuated by unique mannerisms that amounted to frequent full-body chuckling. A joy to watch. And the muse of his amusement: an outside-an-unexpected-Pandora's-box-of-a-realm, in the vicinity of the fundamentally familiar Euclidean solids! Great fun, many thanks..
@shabblabbat4 жыл бұрын
I could listen to Jayadev explain anything....so brilliant but easy to understand.
@lovelaugh72994 жыл бұрын
"So what's your job" "I imagine small living creatures on geometric objects" "Haha... no seriously what's your job" "This is my job for the past 25 years" "😐"
@adamfirst37724 жыл бұрын
....."get a real job".... one where hypothetical sheep and joggers HAVE WIDTH..... then a SIMPLE brain-fart, doesnt become a 25 year challenge!,
@chrisregman294 жыл бұрын
Let's assume a spherical cow...
@chadstratton49264 жыл бұрын
A genius doesn't waste the other person's time hiding deal breakers.
@pyglik22964 жыл бұрын
Important problems for mathematicians: how to go jogging witgout meeting other people :)
@dependsonwhosasking4 жыл бұрын
And thus the treadmill was invented
@pentuplove65424 жыл бұрын
witgout? A Dutch / English word? Wit is out and out is out.
@supertrampolinethebatpony38414 жыл бұрын
Haha you never know when you’re going to run into a fellow Brony on the Internet!
@NotOneToFly4 жыл бұрын
Suddenly, this is a relevant question for EVERYONE
@FPrimeHD16184 жыл бұрын
Next thing you know they are going to be telling us that a coffee cup and doughnut are the same thing!
@michaelstanley99604 жыл бұрын
I dont fully understand what your explaining but i love your enthusiasm and excitement on the subject. Shows that your really passionate for what your doing
@denismilic18782 жыл бұрын
I watched 19 min long video about Dodecahedron, and I want more. This guy radiates positive energy. Extra footage, here I came!
@anonymouss89254 жыл бұрын
I wish I had 31 ways to avoid my neighbors
@TykoBrian74 жыл бұрын
Anonymous S move?
@s3cr3tpassword4 жыл бұрын
Live on a dodecahedron then
@eyetube334 жыл бұрын
Use the back door or underground exit
@rafaelribas10274 жыл бұрын
Skip out the back, Jack; make a new plan, Stan...
@MarkusDarkess4 жыл бұрын
Talk to them once and a while you will find that you will see them less.
@wokeupinapanic4 жыл бұрын
Man, I hope he gets to do a lot more videos in the future! He’s fantastic and enthusiastic!
@luemas32192 жыл бұрын
Interestingly, I was building a wooden dodecahedron and as I was gluing and taping up the shape, I discovered this very thing. Great video.
@Theooolone4 жыл бұрын
Thank you for letting me know that my sleep paralysis demon is an avid jogger.
@ericsmith59194 жыл бұрын
"Here's a mathematical proof*!" *Some assembly required.
@trevorvanderwoerd89154 жыл бұрын
That's most proofs, but they usually word it as "left as an exercise for the reader."
@sk8rdman4 жыл бұрын
@@trevorvanderwoerd8915 To be fair, that's the best way to get the reader to truly understand it. Force them to play around with it on their own.
@willowFFMPEG4 жыл бұрын
Assembly? I thought this was numberphile not computerphile!
@leadnitrate21944 жыл бұрын
The animation by Pete McPartlan is amazing. You guys have really outdone yourselves this time. Edit: Congratulations on the great discovery. A name for the simplest line could be The First Bridge of Koningsberg, I don't know
@jonathanlevy96354 жыл бұрын
Bridges of kongisbreg is already taken
@leadnitrate21944 жыл бұрын
@@jonathanlevy9635 yeah I know, I was saying that the original problem that Euler solved was to avoid going through a vertex (but a graph theory vertex, if you know what I mean), and this is a similar problem but with the vertex being a "real" one.
@jerberus55634 жыл бұрын
My geometry class in high school made 3D dodecahedrons out of paper, so seeing this 18 years later is really cool.
@bscutajar3 жыл бұрын
Videos like this are prime numberphile content. Simple questions with interesting answers and can be clearly explained in a 15 minute video.
@dhoyt9024 жыл бұрын
I don't know any of you, but when I watch Numberphile, I feel I am among friends.
@DerpyLaron4 жыл бұрын
Not sure if it was intentional but using the colours of the Zelda virtues/parts of the triforce for the corners on the net of the tetrahedron was a nice touch.
@zedex12264 жыл бұрын
And of course we all remember the side quest where you have to find the sheep that wandered into the lost woods.
@jekylhyde18434 жыл бұрын
I feel like this is somehow going to improve battery technology.
@nishan3754 жыл бұрын
It might improve teleporting technology in 2000 years. Who knows
@Rahul-uk4su2 жыл бұрын
Most of the theoretical physics in practical application is from maxwell's laws of electromagnetism and relativity which use math that is pretty standard for an undergraduate ,most of the pure math being worked on today ,ppl dont even know when and where it will be applied , mathematicians are stiving only to better the field so that when the time comes its ready for physicists
@man_of_many_pants4 жыл бұрын
The dodecehedron has fascinated me recently and I was not sure why. I was learning mandala, and found a way to connect points on concentric circles to make an artistic rendition of a perfect dodecehedron. Interesting how you could both run in a straight line on both a sphere and the dodecehedron and end up In the same place.
The Dodecahedron has always been my favorite platonic solid, and I feel very justified seeing how weirdly different it is from the others even though I didn't know most of this stuff.
@robinsonkaspar33954 жыл бұрын
When I thought of living on the point of a dodecahedron I thought about how steep a hill one would live on, and what that would look like perceptually, and how easy, if terrifyingly fast, if would be to bicycle over to a neighbors house (assuming a perfect bearings, lack of wind resistance, etc.)
@noahhastings61454 жыл бұрын
"There's the cube. Everyone knows the cube." Scanlan? >.>
@J2982able4 жыл бұрын
"Cube, glorious cube!"
@kane20564 жыл бұрын
I knew I'd find critters under a video on dodecahedrons
@rebeccamiller14004 жыл бұрын
@@kane2056 How could we not be here in some form. :) This is actually really cool, I wonder what the applications of this will be.
@shadycactus61464 жыл бұрын
Julian Wörner same, although i was expecting more c2 rather than c1 lol
@noahfine48204 жыл бұрын
I've been struggling a lot lately with a burnout in my passion for math. This video helped. Thank you
@user-jc2lz6jb2e4 жыл бұрын
Can we get more of this mathematician? I love his explanations.
@CalvinHikes4 жыл бұрын
Natalie made his idea clear he made it clear that he was the only one who had this idea. Which I appreciate it. Sometimes I'm not sure what the mathematician accomplished in this case he made that very clear as well.
@NoName-zn1sb4 жыл бұрын
@@CalvinHikes Kind of...
@richierich63894 жыл бұрын
This guy should be a maths teacher... You can see he wants to say so many things at the same time and he's digging for the right words that everyone could understand and he uses awesome examples ,🙏🙏
@AkamiChannel11 ай бұрын
He is!
@BlueGiant692024 жыл бұрын
Great video! I wonder if there is a relationship to the following: Synergetics by R. Buckminster Fuller 457.40 Spherical Polyhedra in Icosahedral System: The 31 great circles of the spherical icosahedron provide spherical edges for three other polyhedra in addition to the icosahedron: the rhombic triacontrahedron, the octahedron, and the pentagonal dodecahedron. The edges of the spherical icosahedron are shown in heavy lines in the illustration.
@benstapleton53194 жыл бұрын
How about 'Pathy McPathyface' for the shortest path's name
@numberphile4 жыл бұрын
Don't be muscling in on my "Yellow Brick Road" idea! :)
@CalvinHikes4 жыл бұрын
What a time to be alive.
@PopeGoliath4 жыл бұрын
Came here to make this joke.
@ryanrising22374 жыл бұрын
This is immediately where my mind went when I heard the speaker suggest looking for suggestions in the comments.
@thatoneguy95824 жыл бұрын
what about ‘P’
@TimJSwan4 жыл бұрын
So weird! I recognized this guy. Sure enough, he was my math teacher at University of Illinois!!
@ElevateTheWord4 жыл бұрын
Prove it !
@katherinewu32244 жыл бұрын
Ray Bois nah i think timothy was just saying where he teaches
@ElevateTheWord4 жыл бұрын
I think you lie!!!
@Not.Your.Business4 жыл бұрын
@@raybois what is "name dropping"? never heard that before my first language isn't english
@Not.Your.Business4 жыл бұрын
@@raybois thx learn something new every day
@UpNorthOfThe49th5 ай бұрын
The Roman Dodecahedrons reminds me of the ball for different size yarn or cloth or rope we used as a child to make rugs of all types. Different size holes made for using different types of materials to make a long rope for rugs. The little buttons are perfect for what we used to use such as nails to help loop the yarn or such into making the weave for the rope of the rugs.
@davidk38494 жыл бұрын
This man is explaining how get a Fragment of Possibility
It is however, misusing the term "antisocial", and the term he's looking for is "asocial". Antisocial: meaning one who actively seeks out to destroy social relationships (a term often used when describing psychopaths and sociopaths) Asocial: meaning one who shys away from being social (often a term used to descripe depression symptoms)
@samaraisnt4 жыл бұрын
yyyyyyyyyyyyyeeeesss! You _have_ to use/include the jogger's dilemma, to omit it is a crime!
@robm95784 жыл бұрын
Given the icosahedron and dodecahedron are duals of one another, I’m surprised the same property does not extend to the icosahedron.
@StormTheSquid2 жыл бұрын
This is the 3rd time in as many years I've been brought back to this video and I only just realized I commented two separate, very different responses as to why it does in fact make sense to go straight over a corner, and am starting to realize how my mindset has changed over these three years.
@SkillslliK4 жыл бұрын
I can't thank him enough for his amazing proof that he submitted, what a passionate teacher. Need more of this type :)
@sajateacher4 жыл бұрын
I was actually thinking when I woke up this morning, "Gee, I really hope they discover something new about Dodecahedrons" and, well, there you have it. Could this day get any better?
@samaraisnt4 жыл бұрын
Think not.
@josephyoung674911 ай бұрын
rewatched to enjoy some abstract thinking, but also to admire the narrator, Mr. Athreya's gentle voice
@HutchTheWolf4 жыл бұрын
Not gonna lie, went into this expecting a Critical Role C2 theory. Interesting nonetheless.
@niekwesseling43554 жыл бұрын
Love how clearly this problem and solution is explained. Also the questions were spot on with helping to gain more insight and understand this better. Great work!
@TheDarthsphincter4 жыл бұрын
"...my colleagues and I have been exploring a _facet_ of what would it be like to live on a platonic solid"
@colinnewton52544 жыл бұрын
Friendly I should think.
@lawrencedoliveiro91043 жыл бұрын
Very edgy. Did you get the point?
@Som1.4 жыл бұрын
I can count the amount of practical applications with my hands closed. That's probably why this wasn't found until now.
@arekkrolak63202 жыл бұрын
I have watched it second time after a break and I must say this scientist has ability to talk about maths with passion and involvement!
@BN-fi9wi4 жыл бұрын
Starting my postgraduate studies in Mathematics this year and it's partly Numberphile's fault for featuring such well articulated topics. Hopefully one day I can articulate my ideas on the channel.
@happydays33004 жыл бұрын
The code they did to solve this problem, is more impressive then the actual problem being solved, I just had a look, first thing I noticed was zero errors.😂
@paulf53514 ай бұрын
For old people in the US the most famous shortcut is the Slauson Cutoff. I'm fascinated with affine transforms. More please.
@crazyjam65512 жыл бұрын
A flat picture hanging Laser and origami shape gives this nice perspective in the hand. The use of a mirror makes it great to teach kids this kind of mind-blowing stuff . They don't have to understand it to be intrigued .... Energy follows these same patterns.
@moralboundaries14 жыл бұрын
Platonic solids are so fascinating and powerful. This is one of my favorite Numberphile videos. Great job Jayadev, Brady, and Pete! I felt a real sense of intrigue and mystery as you slowly explained the concept and revealed the story.
@Justifer144 жыл бұрын
Love the shape animations!
@EllyTaliesinBingle2 жыл бұрын
I wonder how much of this journey was computer-aided by tech and processing power only available in the last decade or so. :) It just makes me feel like I'm living in a special time when I see a new discovery about a platonic solid. Like, what???? lol. Amazing stuff guys, congratulations.
@taurusgem42444 жыл бұрын
omg... not only that it proves the motion that you explained, but also if you put each of those guys together you would create the space which could be filled with what Terrence Howard was speaking about which also creates that same kind of motion almost as if moving down the spine in circular motion just as the earth moves away from the sun... giant puzzle complete into creation that which you could recreate into building a whole new planet. Instead of building vehicles, you could create a building which also would align with the motion of the winds knowing how radical wind motion is and the stability that will be able to withstand earthquakes and it could be of any shape or size and completed to bend or move from place to place... wow. my mind just exploded... thank you.
@FlorianLinscheid4 жыл бұрын
Jayadev is an incredibly good speaker, very concise and easy to follow thoughts. Please more of him!
@rmreagle4 жыл бұрын
"The Dodequator"
@josuemarquez12394 жыл бұрын
Lol this made me laugh when the interviewer says he can do it with a sharpie
@lawiez4 жыл бұрын
this channel disappeared from my feed for more than a year, i'm glad it popped up again, gotta hit that bell icon!
@Sharklops4 жыл бұрын
I'd buy a Numberphile shirt featuring that sheep with a rose in its mouth (aka, the Parker Sheep)
@rosiefay72834 жыл бұрын
Perhaps you could do it on a Parker cube!
@andrewkepert9234 жыл бұрын
Wrong sort of dodecahedron for Matt
@mxecho4 жыл бұрын
"the Platonic Jogger"
@LordQueezle4 жыл бұрын
Not only can you be a reclusive mathematician living on a dodecahedron... but you can also choose how long you want to run.
@roygalaasen4 жыл бұрын
Lord Queezle Uh, I didn’t have time to watch till the end. Are you saying you could have an infinite run without passing through any of the corners? That is mind ... blown...
@jeremydavis36314 жыл бұрын
@@roygalaasen I haven't tried to prove it, but an infinitely long trajectory should be possible on any platonic solid. If you put the unfolded map on a coordinate plane, with at least two vertices on the x-axis, I conjecture that no trajectory with an irrational slope will intersect more than one vertex nor hit that vertex more than once (that is, it will intersect only one of the infinitely many colored points). It should be easiest to prove for the tetrahedron, since its map easily tesselates the plane. (If the map doesn't tesselate the plane, the slope might be different in different places because of the need to glue together sides that aren't touching, but it should always remain irrational.) A similar setup is often used to show how few rational numbers there are as compared to the irrational numbers around them.
@roygalaasen4 жыл бұрын
Jeremy Davis yes, I think you are right. I realised that it should be possible short after posting my comment. Thank you for your explanation.
@Axacqk4 жыл бұрын
@@jeremydavis3631 It boils down to cardinality. The path is completely defined by the starting direction. There is a continuum of possible starting directions, while there are only countably many directions where you will eventually hit a vertex (that includes non-solutions due to running into a neighbor's house). Therefore most paths are infinite.
@dhy5342 Жыл бұрын
This seems much like the classic puzzle of determining the shortest route of a bug crawling from one point to another on the surface of a cube where the solution is to simply unfold the cube and connect the two points with a straight line.
@heatblayze4 жыл бұрын
Yes!! My mind instantly jumped to cutting and measuring the shapes too! Great video :D
@AlwinMao4 жыл бұрын
another suggestion: le petit path
@loganstrong54264 жыл бұрын
So, path in French is chemin (according to Google translate), but another word is trajet, and I like that better because of its similarity to trajectory. Le Petit Trajet.
@connorhamilton57074 жыл бұрын
Is there anyway we can make this have 12 letters? Other than swapping le with the, since The Petit Path sounds awkward with the french version of the word in the middle of english.
@didz654 жыл бұрын
Somehow i think La petite path is more appropriate because i assume the path is feminine (yep in french you assume gender for everything). But it really depends how you translate it. For example chemin and trajet are both masculine (le petit), but the first translation that came to my mind is trajectoire (la petite). Trajet and chemin are more like roads or itinerary, trajectoire is the word you would use in maths.
@iminni34594 жыл бұрын
Yes
@drawapretzel60034 жыл бұрын
do "mon chemin quotidien" or something bain/pain if theres a better french pun
@DerK3no4 жыл бұрын
The Mathematician‘s Dark Mark. 11:50
@Archanfel4 жыл бұрын
They wait when Dark Lord Euler will return.
@trevorperry30814 жыл бұрын
My thought when he talked about living on the surface of the shapes was, "what would gravity feel like as you traveled around that surface...?"
@shadycactus61464 жыл бұрын
probably like some Big Freakin Hills
@Meccanica4 жыл бұрын
In a way, it would *feel* like each surface was a wide, shallow bowl
@anushrao8824 жыл бұрын
WATCH VSAUCE
@Dr10Jeeps4 жыл бұрын
Science videos are what make the internet worthwhile. We need more, much more of this type of material in all fields of the physical, biological, social, and mathematical sciences.
@IsaMorphic4 жыл бұрын
I love how passionate these people are about their work. Keep it up!
@roarkely4 жыл бұрын
I love them all, but this was a particularly satisfying episode. Let's hear more from Jayadev and his colleagues!
@MoonMoonStarBass4 жыл бұрын
A new DESTINY about Dodecahedrons! Unlocking the engram.
@skizzot224 жыл бұрын
Also wanted to point out that Brady's animations are on point these days (no pun intended). He's really upping his game.
@afinafina4 жыл бұрын
Name suggestion for class 1: Lazy Prince Path Name suggestion for class 31: Drunk Prince Path LE: and have a spectrum from 1 to 31 going from Laziest to Drunkest
@not2tired4 жыл бұрын
Which number would be the Ozzy path?
@barbiefan38744 жыл бұрын
@@not2tired 32nd
@TheMrvidfreak4 жыл бұрын
Numberphile: platonic solids Me and my crush: solidly platonic
@anotherone94604 жыл бұрын
Oof.
@Witchlinblue Жыл бұрын
I could listen to this guy all day
@amt2534 жыл бұрын
I'm sure it's been said here before, but the real hero here is Pete McPartlan who does these animations (and others on other videos?). I'd watch a feature-length behind-the-scenes of these animators and how they do it, because clearly they have to understand the math at a high level too!