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G'day

Yo Numberphile what happened to James Grime

How LONG did it take to make those animations? You really did a great job!

A triangular hexacontahedron is also a regular solid.

Of course, there goes any non-mathematician date.

Oh man if my date did that, I would be in love.

@@uganasilverhand Many women would love a guy passionated about his field and able to explain it well.

@@Ceelvain the wife's always asking me to stop talking about math, computers, and science

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.

To be fair, Pac-Man is still a cultural icon. Most kids probably know about it still.

@@moth.monsterYeah they do, there's a relatively new animation series about pac man.

My mind did go to the half a press video

@@korenn9381 Pixels?

@@korenn9381 there is?? Why

No

@@matthuckabey007 but we did hope a little

·...·

I wasn't, but now I feel like I should have

It's the reason I watched, had a feeling

Well... he has to stay on topic

Because that is not important

including the animated Hannah Fry jogging?

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

@@alveolate *especially* the Hannah Fry jogging.

Did you squint really hard when the jogger was on screen?

... Kind of

JNCressey this should have more likes

BIBLICALLY

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.

-sad cube noises-

This is hilarious

he does everything in his head, no blackboard needed

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 🤣

ayyyyy a UW fellow

Shows the Rockefeller Education System works at making people unthinking.

@@pentuplove6542 What?

@@pentuplove6542 Er, what? Would I be correct in thinking that you didn't do very well in the education system?

What os his nationality? Persian? That is a strange name.

Ikr

@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.

@@webgpu that's a bit of a slippery slope fallacy, isn't it?

@@TheGamingLegendsOfficial Yeah, it's pretty slippery, but possibly not too far off the mark.

Well, He must be better than me, I have no tattoo to show off.

OOF

That's why his chalkboard is so clean, erasing all those naughty angles and planes

“How many pieces can I cut it into? I don’t know! Let’s find out!”

It's adorable

@@volodyadykun6490 Are you blind!? Look at it!

@@namethathasntbeentakenyetm3682 and you are mean

@@volodyadykun6490 and you are trying to protect the feelings of a 3D model. Which happens to be possessed by a demon

@@Alistair that mathematician may be meant to be Hannah Fry

( ͡° ͜ʖ ͡°)

I don't know why, but I lost it when he said that.

@@loonycooney22 I wish you luck on finding it. :D

_its a great read..._

@@loonycooney22 Oh gosh, you lost your innocence too?

how did you do it

@@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.

😀

@@mnek742 Honestly, i would watch the proof 1000x, POST IT.

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 ?

i'd happily abandon D&D to talk geometry with this dude

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!)

🤣

@Cliven Longsight Quick, find a mathematician who can get super-excited about antiprisms and isohedra!

Thats is why my dnd party hates me.

Ahem, for a walk.

@@danielalba7651 jog

@@zethyr8833 a roll

Dodecahedra is the plural.

false.

Nice

That was what I'd suggest the path be called: loss of innocence path

He quoted Ecclesiastes too

@@Om_1337 To show that the holy book was wrong!?

Cries in euclidean

...those _are_ blackboards...

@Hoaxcrit yas

It is the exact same problem, as bouncing is continuing towards into a mirror image

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?

I remember watching that and trying to solve it.

No, you should be glad that your tv was not shaped as a pentagon, because then you could've been watching forever...

I'm stealing this for a school assignment

Well you have a truncated cube in your icon so that’s something

@@ar_xiv Its because only us cool kids use types of cubes in our pfp xD

@@DerpMuse No need to be hyper about it.

@@DerpMuse Oi, do you have a licence for that 4th spatial dimension?

??

... kind of

Deep love how you broke that down

Ian Tan MY SPECIAL D12 CLICK CLACK

Ian Tan Ah, a man of culture I see. For this you get advantage on your next skill check

EXOTIC ENGRAM

@@404dne inDEEd

the d10 is my least favorite die because it’s not a platonic solid

So ddozen?

Not just for barbarians anymore. ;)

@@J3rs3yM1k3 great axe wielders unite

Ah the dirty dozens

It doesn't have to cry itself to sleep anymore!

....."get a real job".... one where hypothetical sheep and joggers HAVE WIDTH..... then a SIMPLE brain-fart, doesnt become a 25 year challenge!,

Let's assume a spherical cow...

A genius doesn't waste the other person's time hiding deal breakers.

And thus the treadmill was invented

witgout? A Dutch / English word? Wit is out and out is out.

Haha you never know when you’re going to run into a fellow Brony on the Internet!

Suddenly, this is a relevant question for EVERYONE

Next thing you know they are going to be telling us that a coffee cup and doughnut are the same thing!

Anonymous S move?

Live on a dodecahedron then

Use the back door or underground exit

Skip out the back, Jack; make a new plan, Stan...

Talk to them once and a while you will find that you will see them less.

That's most proofs, but they usually word it as "left as an exercise for the reader."

@@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.

Assembly? I thought this was numberphile not computerphile!

Bridges of kongisbreg is already taken

@@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.

And of course we all remember the side quest where you have to find the sheep that wandered into the lost woods.

It might improve teleporting technology in 2000 years. Who knows

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

That'll shut them all up

You forgot donut earth ;)

"Cube, glorious cube!"

I knew I'd find critters under a video on dodecahedrons

@@kane2056 How could we not be here in some form. :) This is actually really cool, I wonder what the applications of this will be.

Julian Wörner same, although i was expecting more c2 rather than c1 lol

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.

@@CalvinHikes Kind of...

He is!

Don't be muscling in on my "Yellow Brick Road" idea! :)

What a time to be alive.

Came here to make this joke.

This is immediately where my mind went when I heard the speaker suggest looking for suggestions in the comments.

what about ‘P’

Prove it !

Ray Bois nah i think timothy was just saying where he teaches

I think you lie!!!

​@@raybois what is "name dropping"? never heard that before my first language isn't english

@@raybois thx learn something new every day

Yyyyaaaaaahhhhhhhhhhhhhhhhhhhhh be pleased

Beep Beep

Antisocial travelling salesman.

@@alexanderf8451 unsuccessful salesman!

GummyGruffi ALJ

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)

yyyyyyyyyyyyyeeeesss! You _have_ to use/include the jogger's dilemma, to omit it is a crime!

Think not.

Friendly I should think.

Very edgy. Did you get the point?

Perhaps you could do it on a Parker cube!

Wrong sort of dodecahedron for Matt

Not only can you be a reclusive mathematician living on a dodecahedron... but you can also choose how long you want to run.

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...

@@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.

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.

@@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.

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.

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.

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.

Yes

do "mon chemin quotidien" or something bain/pain if theres a better french pun

They wait when Dark Lord Euler will return.

probably like some Big Freakin Hills

In a way, it would *feel* like each surface was a wide, shallow bowl

WATCH VSAUCE

Which number would be the Ozzy path?

@@not2tired 32nd

Oof.