Oxford University Mathematician REACTS to "Animation vs. Geometry"

[@TomRocksMaths]

Go watch the original video on Alan's channel so he'll keep making more amazing videos like this for us to enjoy: kzbin.info/www/bejne/jHatiHhsmNWkrZI

[@_R136a1_]

For additional references like name of that evil shape or the ideas you can watch alan's own reaction with his friend (link in the comment section of the animation video)

[@ejnagatoshi8551]

It’s a 4D hyper diamond

[@wow-roblox8370]

25:14 Well the attacking thing was a 4-D shape…

[@TheAgamemnon911]

Paused to count. Yep, it's 24 vertices total with triangular faces. But it is not the Hyperdiamond! It's the weird one in 4 dimensions that doesn't have a lower dimensional analogon.

i watched 2 of your animations videp

[@ND62511]

Alan Becker really has made something special with his time on KZbin. Amazing educational content, gripping and emotionally compelling narratives, awesome fight scenes, and all that with just stickmen and no dialogue whatsoever! It’s no wonder his videos get millions of views!

[@WojtekTymbarski]

True

[@tinkeringtim7999]

I don't know. I feel vs math was brilliant and inspired, the rest lacked depth. Kind of like star wars.

[@andy-gamer]

@@tinkeringtim7999nah

[@michaelcolbourn6719]

I've only seen the maths and science ones. All today as I'd never heard of it until this video. His other ones all looked like Minecraft vids so I haven't bothered with them

[@captain02rex]

@michaelcolbourn6719 his video "Animation vs. Minecraft Shorts Season 3 - All Episodes (20-30)" is a masterpiece! it's a very well made story, I highly recommend it! Even if you don't play/know/enjoy Minecraft.

[@johncollinowensy4255]

Little addendum for the stuff you missed: - The thing attacking them is a 4D shape. Apparently it’s called a 24-cell. - The Pythagoreas Theorem proof is also a proof for Φ + 1 = Φ². Specifically it said Φ raised to 0 plus Φ raised to 1 equals Φ squared. - That bit makes the golden rectangle, and it pops up later during the pentagram battle. - The dart shape is also part of the rhombic structure associated with the golden ratio, and Phi they did in fact make that shape to protect our stickman. - You probably noticed, but I’ll still mention how the badass Phi army was creating all sorts of Φ shapes and lines to pelt the 24-cell. Absolute masterpiece. - Phi army dropped some golden rectangles earlier, our stickman used them to create vertices that if you connect lines through, traces an icosahedron (it did this without Phi’s help, so proud) - Phi then uses this to connect a dual one with area Φ², to create a bigger set of vertices to create the dodecahedron. - Apparently if you put three dodecahedrons to the same edge you get that mirror effect or something, I honestly don’t understand that higher dimension explanation from the over-analysis either lol. The other shapes there are also the bigger and smaller 4D shapes, including the 600-cell forming a shadow in the mirror plane. Try and look for it, I’m sure you missed it. I did. Several times. - The current crackpot theory is that: Stickman arrives in math dimension > gets Euler’d to geometry dimension > falls off dimensional mirror into physics dimension > creates the entire universe with black hole time travel > Stickman is data and therefore immune to death by spaghettification > ??? New Animation vs. Education video yay

[@StaceyGreenstein]

Here's a video that's got all that and prolly more.... kzbin.info/www/bejne/hJSVg4OjZbybras

[@dovos8572]

i'm hoping they do a atomic chemistry part as continuation of coming out of the black hole area and after that a molecular sized one that explores how different atoms react with each other and form bonds. then either go up the electromagnetic route into engineering or light theory or so(doing more more specific physics unrelated to speed) or into the dna and cell area and up the biology scale.

[@finian2]

The 4D shape is also known as a hypercube. It's a theoretical shape that takes the idea that: a 1D line is made of two 0D points. A 2D square is made of four 1D lines. A 3D cube is made of six 2D squares. If we continue that logic, then a 4D hypercube is made up of a number of 3D cubes.

[@dovos8572]

@@finian2 the hypercube is a different 4d shape that you can see at the end. it is not the one that is attacking.

[@finian2]

@@dovos8572 huh yeah you're right. I assumed because at some points it looked almost exactly like a hypercube it was one, but looking at it again it has way too many lines.

[@AttilaAsztalos]

"It can't be reasoned with, it can't be bargained with…it doesn't feel pity or remorse or fear… and it absolutely will not stop. Ever. Until you are dead. It's called... a 24-cell."

[@TKBarnes]

It doesn't think. It doesn't feel. It doesn't laugh, nor cry. Ali it does, From dusk 'til dawn, Is make poor students die. - a mathematician's cry

[@EliasMheart]

Great song :)

[@zeniththecreator7671]

That quote was originally from Terminator Genesis

[@lilbill2025]

The 4D shape is called an Octaplex, which is the simplest of its names, and sounds oddly badass

[@Nitram4392]

Someone said, that it sounds like an awesome supervillain name.

[@Commenter3726]

There's also a lot of other names, I prefer Hyper diamond but there are others Octaplex, 24-Cell, icositetrachoron, Octacube and others

[@gooeysad2058]

Its also a hyper diamond if rotated towards the interface if regular (24 cell)

[@gamerhalim2486]

​@@Nitram4392 are you referencing tyler folse?

[@Farscryer0]

If Dr. Octavius became a pro wrestler after his lab accident, he would have the Octoplex as his special move.

[@Emcy]

petition to have Alan Becker collab with Tom Crawford for the next animation in this series

[@TomRocksMaths]

YES

[@Hello-Off]

lol yes

[@ishuikamakura272]

Now that is definitely i could get behind

[@AhmadDanishF]

Animations vs Tom Crawford 🔥🔥

[@Dialzaa]

hell yeah

[@Flower_The_Floral_Queen_BFB]

Φ is a type of friend everyone should have

[@HanzAira]

He'll definitely helps you in exam a lot

[@Swearingbison92]

∅

[@blusterlumino890]

can't believe that dnd dices are just the platonic shapes but magicified

[@nanamacapagal8342]

except for the d10

[@Friendly-Neighborhood-Asexual]

​@@nanamacapagal8342 pentagonal bipyramid

[@shilohmagic7173]

excluding the d10, because the d10 is an abomination that is a product of our broken numbers system :3

[@danteinpuro319]

And the Destiny exotic engram

[@OrnluWolfjarl]

The shells of many viruses are also dodecahedrons and ecosahedrons (discovered by Crick of DNA fame). Apparently, they provide a really solid structure of repeatable shapes, because they are so geometric.

[@Frxmxtic]

Honestly this man is amazing, always inspiring and carrying a happy smile. Currently in the process of doing my application for maths at Oxford, and I would not be in this position if not for Tom. Been an inspiration since day one and hope that you carry on what you do

[@dibenp]

I think the "graph theory blob" is a 24-cell. This four-dimensional shape is difficult to understand because it has no analogue in higher or lesser dimensions. Or as HSM Coxeter states in the epilogue of his book "Regular Polytopes", the 24-cell is a shape that "stands quite alone". So as a story, perhaps the 24-cell was lonely, misunderstood, wanting friends. By the end of the video, TSC and phi have worked together to reunite the 24-cell with the other 5 convex regular polytopes, as a family. Very on brand for Alan's stick-o-verse.

[@connortg5]

that would be fitting for alan's animations, but they make it pretty clear when the plan is explained that the goal is to destroy the 24-cell, not just to trap or calm it down

[@edwardofengland2993]

This is my favourite of the three "animation vs ..." series, I absolutely love geometry. First time I watched it through I was constantly on the lookout for any reference to divine geometry, the closest I could find was pythagoras and the platonic solids.

[@lamemelord]

17:03 For anyone wondering, it's called the Inscribed Angle Theorem

[@TomRocksMaths]

I’m still calling it the “Star Trek Logo Theorem”

[@Avil_Recs]

​@@TomRocksMathslol

[@NguyenMinh792]

@@TomRocksMaths😂😂

[@maddreax]

I think someone else mentioned it elsewhere, but the big evil thing is a 4D shape, specifically a 24-cell. It's amazing how they used a 3D shape to trap a 4D being on a 2D plane.

[@wanwan_anderson]

Since TSC and phi are trapped in a 1D line, it would make sense to trap a 4D thing in a 3D shape.

[@nanamacapagal8342]

​@@wanwan_anderson therefore implying that the 4d thing isn't exactly flying, gravity is just affecting it in the 4th dimension

[@SgtSupaman]

A 3D shape cannot trap a 4D being, because it can move on an additional dimension. It would be like someone using chalk to draw a circle around you on the floor and saying you are trapped when you can just step out of the circle.

[@RangeCMYK]

​@@SgtSupamanFrom the perspective of the 4D shape thing, couldn't it just take a step "sideways" (or whatever the 4d equivalent is) and escape?

[@SgtSupaman]

@@RangeCMYK , yes, that is what I was saying. To a 4D shape, a 3D shape is 'flat' (its size is 0 in some dimension), so it is trivial for it to get out of the 3D shape, because the 3D shape never contained it in the first place.

[@JellowGelo]

I took this idea from "Animation vs. Geometry - An Over-Analysis", apparently the oddly looking shape is called a "24-cell", a regular 4d shape that is considered to be a "4-D Platonic Polytope". The reason why it is attacking TSC and Phi is because it is the only shape, in their plane, that is not symmetrical. The 4 colored platonic solids at the very end are referencing Plato's elements (fire, earth, air, water, Universe). Correct me if I'm wrong, because I truly find Alan Becker's animation vs math/science to be really interesting. And I'm getting hooked by it.

[@ace9u]

I didn't get you? Is the 24 cell the only shape in 4D that isn't symmetrical?

[@JellowGelo]

@@ace9u No. It is the only shape in the video that isn’t symmetrical on all sides because it is a 4D object in a 3D world. We do not see 4D objects because we are 3D creatures seeing 2D objects. Phi (Golden Ratio) is symmetrical whereas the 24 cell (in a 3D world) isn’t, which makes 24 cell the antagonist of this video.

[@惠心Megumi]

Also when the 24-cell bumps against the platonic solids to escape, they flash the same color.

[@Enderplays12]

To add to your 4 platonic solids, there's the fifth, the dodecahedron. In the Greek Theory of five elements, it represents aether, or eternity. Hence the fractals. A hypothetical "eternal" 3D object (which must be closed) means that it has to have one of its measurements as infinite. Since it is normal in its three dimensions, it then needs to have a fourth, which is why it contained the octaplex. It bridged between 3 and 4 dimensional geometry. Source: I made it all up.

[@davidbarnes6672]

It is so validating to hear your struggles with circle theorems, I had the same experience after finishing my math degree lol

[@ProactiveYellow]

I highly recommend (to fellow watchers here) watching jan Misali's video on the "48 regular polyhedra" which is a beautiful example of how the "three easy rules" for the platonic solids actually lack proper constraint. To them we simply add the rule(s) of being finite, closed, strictly convex, self non-intersecting polyhedra to get the five platonic solids we know and love, but relaxing these restrictions give us a wonderful world of highly symmetric objects that still lie within the "spirit" of the platonic solids, so to speak!

[@RishiAggarwal-z5m]

Yeah, truly awesome video

[@YouTube_username_not_found]

Definitely an 😃 amazing video! I shall watch it again!

[@Dragonfire-486]

Yess!! I’ve been checking my feed every day for this video!! Love your reactions to these animations, they’re really well explained and you show such appreciation for the fundamental laws that create our universe. Can’t wait to see your reactions to Alan’s future work with this series :D

[@christianchan1144]

Mathematicians call them polyhedra, Tabletop geeks call them dice.

[@danteinpuro319]

Destiny gamers call them engrams

[@cewla3348]

d&d geeks do not call an infinite plane of equal squares dice?

[@christianchan1144]

@@cewla3348 they do. But isn't nat-aleph cheating?

[@angelfishuriel]

Shiny math rocks!

[@sheldon-c3j]

i love watching people talk about things i know nothing about

[@kuarifu]

Oh my how easy to udnerstand you explaining everything! I'm literally learning rn! Thank you! 🎉❤

[@nanamacapagal8342]

If you're wondering about the dodecahedron-universe ending, this actually ties in to Plato's contribution to the platonic solids (plus the color scheme for the other 4 solids) Plato assigned the solids different classical elements: Tetrahedron = Fire (Red) Octahedron = Air (White) Cube = Earth (Green) Icosahedron = Water (Blue) Dodecahedron = Aether (Gold) The inside of the dodecahedron is a 4-dimensiomal 120-cell comprised of 120 dodecahedra (go figure), so it might be the higher-dimensional equivalent of aether... All the other 4d graphs are the remaining 4d platonic solids. In fact, the gold one orange stickman holds in their hand is the exact boss they were fighting against earlier: the hyperdiamond made of 24 octahedra (hence the octahedral artillery) EDIT: got air and water backwards oops

[@AndreasEldhSweden]

Looks like everyone but Tom spotted that the attacking shape is 4D...

[@zxuiji]

1:06, no that's 0d to 1d, lines don't have a second dimension because they make up every other shape that has an edge

[@user-mf7li2eb1o]

Thank you, just wanted to mention it myself

[@kendrakirai]

My own personal theory is that the method Euler’s used to send TSC away actually split him - one went to Physics, one went to Geometry. The two are, for lack of a better term, happening “concurrently”. (Let’s ignore the ludicrous amounts of time it would have taken Physics to happen - Time doesn’t seem to hold sway in these, merely causality. Perhaps, since between Physics, math, and geometry, we’ve handled what I’d consider three of the four most fundamental concepts of reality, the next one will be the fourth - Time.)

[@Stakatakataka]

The film theorists???

[@kendrakirai]

@Stakatakataka I mean, it's a theory about a film based at least partly on headcanon and supposition rather than fact, so I suppose its pretty Matpat-y, yes. :)

[@broging_bread]

im having a feeling these math animations are connected to the main series

[@kendrakirai]

@@broging_bread entirely possible! But you'd also think that Minecraft would be involved too if AvA was connected to other subseries.

[@ishuikamakura272]

@@kendrakirai so wait, what are the other 3 concepts? I assume Space, is one of them? I tried to find it on google and it only explains Space and Time

[@DuhBla]

The moment that video dropped I was looking forward to your reaction and explanation.

[@elreno2013]

The golden ratio, often denoted by the Greek letter φ (phi), is approximately 1.618. It appears when a line is divided into two parts such that the ratio of the whole line to the longer part is the same as the ratio of the longer part to the shorter part. This ratio is found in various aspects of art, architecture, and nature.

[@Qsie]

Intro correction: that would be 0 dimensions to 1 dimension (zero-D to one-D).

[@kaiperdaens7670]

These animations have an insane amount of detail, the dots at 15:12 bounce of at an angle and that angle is shown to us and the size of the angle pops up to one second 😮

[@anhvu8804]

Alan Becker brought back so much Knowledge that I had thrown away. With your explanations, everything that I couldn't grasp before, is now easier to understand. Thank you.

[@cubefromblender]

whats next? animation vs chemistry? animation vs history? animation vs biology? animation vs geography?

[@oneleaf11]

probably chemistry

[@Songai-o6d]

It is probably gonna be animation vs multiverse

[@morganansell4526]

Animation vs. Calculus?

[@oneleaf11]

@@morganansell4526 thats just vs math

[@patrickhector]

​@@oneleaf11 so was vs geometry

[@thomasharper9087]

that "graph thing" is actually a 4-dimentional shape called a 24-cell or icositetrachoron en.wikipedia.org/wiki/24-cell

[@endernightblade1958]

in fact, all the shapes seen within the final dodecahedron are the 4D Platonic Solids: in particular we see our 24-cell hyper-diamond, as well as a Tesseract (8-cell, or hyper-cube) in green, a pentatope (5-cell, a hyper-tetrahedron) in red, and a hyper-icosahedron (600-cell) in blue. the two missing are the hyper-octahedron (16-cell, the tesseract’s dual polytope) and the hyper-dodecahedron (120-cell, which may be what these are all contained within)

[@liamfarrar8861]

the villain of the video isn't a graph its a representation of a 4d shape

[@themathhatter5290]

I mean, that's still a graph.

[@suhailraja7797]

​@@themathhatter5290 graphs are just edges with connections to them so aren't they just 2D?

[@themathhatter5290]

@@suhailraja7797 Not all graphs can be drawn just in 2D, but every object consisting just of points and lines between them is a graph. For a graph that can't be drawn in 2D, try drawing every line between five points so that the lines only meet at the five initial points; it can't be done, so it can't properly be represented in 2D, but it is still a graph.

[@johncollinowensy4255]

This’ll be fun! I’ve been waiting for the reaction videos just because I like watching the reactions of experts. I’ve already watched the over analysis so I’ve probably become a geometry nerd over the week, but I still want to see your academic reaction lmao

[@lightningterry]

I've gained a greater understanding and appreciation for the geometry in Alan's video because of this guy. Learning about the platonic solids makes the climax SO much more hype!

[@francoislanctot2423]

Thank you so much for your brilliant comments and interpretation. Fantastic!

[@mikkolukas]

1:02 A dot is zero dimensions. A line is one dimension. So it is: "Which is like 0-D to 1-D" 1:21 It only became 2-D when orange stickman broke out of the line.

[@nicholasleclerc1583]

17:05 That isosceles triangle (before it turns into a glider), had the sides opposite to the symmetric angles (of 54 degrees) of a value of 1 unit, which is why the inverse of the golden ratio at the side shared by the 2 smaller triangles actually important

[@dibenp]

17:04 Star Trek Logo Theorem is now my head cannon name for Euclid's inscribed angle theorem. 😁 The golden hand-glider (drawn by TSC and phi) is a dart shape composed of two Robinson triangles. This dart shape (and the kite shape drawn at 17:50) are used in the second type of Penrose tiling. For pretty diagrams, look up "Penrose tiling" in wikipedia.

[@SgtSupaman]

A point becoming a line is going from 0D to 1D, not 1D to 2D. It doesn't become 2D until the stick figure comes out of the line.

[@z34rk79]

As something as Universally simple as a stick figure, I feel like many of us got our enjoyment and extention of stickfigures creations from Alan Becker and his usage of his skills and knowledge integrated into his fast learning stick figures

[@Ergo288]

I was waiting patiently for this >.

[@elixir4213]

Sameeee

[@bakawaki]

I love watching mathematician's raw reactions to these animations!

[@tomkerruish2982]

21:42 You need to specify that your polyhedron is convex in order to obtain only the platonic solids. jan misali made a video some years ago about how many polyhedra there are if you don't. (The Kepler-Poinsot polyhedra are only the beginning.)

[@crossiqu]

At 26:49 there are 4D 'platonic solids': an hypertetrahedron and an hypercube (teseracton) and maybe others regular 4-polytopes

[@xeroxian]

been waiting for your reaction on this!! your videos are so great :)

[@kmjohnny]

Now that I watched this video again, I feel like I found a mistake. At 6:47 here we see the triangle being rotated by 150, but isn't that 120? I mean the angle on that side of the triangle is 60, so it should be 120 rotation instead.

[@Blacksoul444]

yup, you are right. good catch

[@yelmoralardclaw]

21:35 By the first rule you mean it has to be convex and physical, not just 3D. You can use software to construct a 3D polyhedra with polygons of five sides, where each is a shape of a five-ray star, not just pentagon.

[@zxuiji]

26:00 I just visualise 4d objects as stuff that has edges in other slices of time, if you're not in the right slice of time then you can't see those edges. If an edge has vertices in 2 different slices of time then you see it fade out due to it moving through time and you can only see the chunk of it that's close to your slice of time.

[@ChongBoy1]

My jaw is aching as well!! Loved the original art and love the way you jump in with pointers and keep us on track because I'm lost without you. Thanks and keep up the great work.

[@davethesid8960]

12:48 - That's actually the Sierpiński carpet, the Menger sponge is it's "3D" version.

[@VrIgHtEr]

We saw 1d, 2d, 3d and 4d shapes. What I found interesting is that when attacked, stuff showed the menger sponge underneath, which has a fractal dimension of between 2 and 3

[@Komi209.]

This is what i've requested 5 days ago in my comments at your reaction to Animation vs Math Thx for making this vid its funny and cool at the same

[@mambe4349]

12:43 this has probably been said before but I'm pretty sure that the 2D version is the sierpinski carpet, the 3D version is called the menger sponge

[@Mahoyage]

yay been waiting for you :)

[@TKBarnes]

I started with "nuclear physicist reacts" and watched like a dozen different high-end-smart people since. You're the only one I actually subscribed to. I love your energy and the explanations. Keep up the good work.

[@TomRocksMaths]

Welcome to the community :)

[@TharHtetSan-nf9tu]

In 19:42. The thing that five showed is that anything inside that box gets completely destroyed cuz of the presure in side it.

[@thechosenone7400]

The 4D Shape attacking The Second Coming and Phi is a 4D Hyper Diamond or just 24-cell

[@geometricgamer7]

22:29 the icosahedron is also called a gyro-elongated pentagonal bipyramid

[@phillipshepard4775]

3:34 he has summoned the GOLDEN RATIO

[@ალექსანდრეოთხოზორია]

i was waiting for this thank you

[@JasonHise64]

The two kites constructed from the golden ratio were selected from the P2 and P3 non-periodic Penrose tilings, hence their relationship to the golden ratio. The square areas for the Pythagorean theorem part demonstrate one + phi = phi^2. And as many others have stated, the antagonist is the 24-cell, the only 4D Platonic solid without a perfect 3D analog (the cubeoctahedron and rhombic dodecahedron, taken together, best capture its essence).

[@aRandomPersonThatPlaysGames]

Props to him for explaining everything

[@mungelomwaangasikateyo376]

You know an animation vs. geometry video is peak when a mathematician is smiling to the ears watching it

[@Neptoid]

The evil graph theory blob is a evil 3D shadow of a 4D hyperdiamond (2D if you count the screen). Source: the video in the description of the original video

[@xeuszzz]

I expected Tom to mention Duals of Polyhedra. When Stickman and Phi connect the centers of the faces of the octahedron, they create a cube. Vice versa, connecting the centers of the faces of a cube creates an octahedron. Dodecahedron and icosahedron are similarly each other's dual, but tetrahedron is special, because it's its own dual.

[@רשף]

I was looking for this comment! I read so many books about the golden ratio, this was really the most exciting. And I felt he missed the simpler things

[@Bboy10110]

There's a really fun video about the platonic solids by Jan Misali called "There are 48 regular polyhedra" :)

[@LoryLilyBomber]

26:18 Stage 1: ._. Stage 7: B E N O T A F R A I D

[@naturelist]

Thanks for the explanation of Phi and the golden ratio! I really did not understand it first time watching

[@d4rksh4d0vv5]

20:40 this whole segment just reminds me of d&d dice, which im aware are mostly platonic solids

[@morgangraley1049]

12:46 Wouldn’t that actually be the Sierpinaki carpet (2D analogue of the Menger sponge)?

[@tinkeringtim7999]

that "graph theory" thing looks like its rotating in 4D. When it was shooting, it shot what looks like the 3D "faces" of the 4D shape.

[@tajmahalfred]

In a couple of years we'll be getting Animations vs Noncommutative Rings and it'll still be great

[@Sir1us1]

14:03 Menger Sponge is the 3d version of the fractal in the video, called a Sierpiński carpet.

[@pianopanda9057]

I was gonna say the same thing because i got confused when he called the 2D one the 3d ones name lol

[@gamefrog51]

Have you seen the video "there are 48 regular polyhredra" by Jan Misali? given that you have the platonic solids as a tattoo it might interest you, whether in private or as a reaction.

[@toricon8070]

21:30 This is only sufficient to describe them if you require them to be _convex, non-self-intersecting, finite_ 3d shapes. If you allow certain implicit assumptions to fail, there are significantly more than five of them - see "there are 48 regular polyhedra" by jan Misali. (Would love to see your reaction to that.)

[@gideonkipchumba3446]

At 9:14 One of the sidelength is Square root of Phi not Phi

[@Theyellowscarecrowofdeath]

I love all your videos my father passed away so I watch your video to make me happy❤❤❤ 😢

[@Yitao_Su]

6:53 I think it's supposed to be a congruent triangle, right?

[@johnydl]

The graph theory blob when it was inside the dodecahedron hall of mirrors 26:49 (non-euclidian geometry reference) was met by other graphs, I think they were the 5 cell, Hypercube, and 600 cell, I think that'd make the graph theory blob the 24 cell, we met the 5 cell in it's graph form too. we don't seem to meet the 16 or 120 cell 4D polytope

[@davidkeith3920]

The hall of mirrors IS the 120-cell. The hypercube/tesseract is the 8-cell, so they're all represented.

[@johnydl]

@@davidkeith3920 sorry I meant 16 cell was the one I didn't see but good catch on the 120

[@christianchan1144]

I've read somewhere, that what TSC is doing is constructing an icosahedron using mutually orthogonal golden rectangles. It has something to do with the vertices of these rectangles that relate to the icosahedron (d20) but I'm not sure.

[@hazelnutnougat582]

Hey I totally recommend a vid by Jan Misali called “there are 48 regular polyhedra” which is really good and talks about the Platonic solids

[@nothpx]

it leaves behind a 2d version mengers sponge called sierpinski carpet. 12:45

[@its_addi]

i wish youd mentioned the other regular polyhedra..... theyre so my beloved

[@ATr0N2x2s_ALT]

Not only does Alan make educational animations, mathematicians explain what is going on.

[@keithpierce5686]

Me and another commentor from a different reaction video have come up that the blob you see is actually a 4th dimensional entity and it isnt capable of being trapped by anything from the 3rd dimension. When he throws the dodecahedron, he actually timed the through perfectly for all its points match up to a single spot and that traps it and the dragon fractals is its 4th dimension being shaved off into them.

[@stephaniewelch1032]

something cool that was there is that the platonic solids are linked to different elements, the tetrahedron is linked to fire, the octahedron is air, cube is earth/rock, the icosahedron is water and the dodecahedron is metal or in the animation just golden for phi (i might have got some things wrong let me know if i did) something i forgot they shine the color of the elements fire/red air/gray earth/green water/blue (metal/gold probably not tho)

[@prosamgg2177]

1.618 was actually considered a special number by the Ancient Greeks, as they believed, this number and shapes that ocurr from this number "looked" better and without realising it, humans "liked" it more. This is why the parthenon is full of these shapes. Additionally this star at 18:06 represents the pythagoras' star, which was used by pythagoras and his students as an icon of "loyalty" to his teachings.

[@macronencer]

I think that's a Sierpinski carpet. The Menger sponge is the 3D version. Also, the area isn't just finite... it's zero :)

[@rudrapatel1322]

27:25 that was happened in interstellar movie when goes into black hole and goes to higher dimensions

[@crazyguys7923]

Crazy thing with fractals and the measurement of coastlines is that the smaller detail you measure a coastline with increases the coastline

[@angelicarus4847]

Hey! Dancer here, I wanted to add that the platonic shapes are also used in dance theory! With them, we show the range of possible movement within the reach of each limbs without mouving one’s center. The more precise one is the last one I think? With the most faces at least. That’s all for me, if anyone has more information Please let me know, and sorry for the errors in english, I’m french and trying my best. Great video, I learned a lot! Take care!

[@tohanwi]

What i found most intriguing is the physicists that react to these talk about the geometry and history, the mathematicians reaction to this is focused more on the fractals. But in the last video (Anamation vs physics) mathematician got into string theory and quantum maths and physicist had a great time in the stellar mechanics. Its really amazing to me to see from the same video how the STEM field you applied into create a completely unconscious biases to the part that caused excitment. Dont get me wrong, this is an observation that is completely expected, though seeing in doctorate education makes me wonder in these 3 videos could be used to ascertain which STEM field a student all ready has a disposition towards and could help them determine which path to take. Personally im a stellar mechanics kinda guy and i knkw watching these 3 videos on my own i definitely leaned into this. After watching your, the physicist, the nuclear engineers videos i gained way more insight into how incredibly complex everything was in these 3 videos. That being said what did the other ppl on the channel think? Edit: a word

[@HarrisonRouse]

Jan Misali made a great video explaining how the 5 Platonic solids are not the only regular polyhedra. You should react to it

[@edim108]

8:20 let that sink in folks. Oxford Math phd forgot it. Not everything you learn in school is important- most of it is there on the chance some student finds it interesting and decides to pursue a career in that direction- so don't stress about it. Focus on what's interesting to you, the topic that you enjoy, and do just enough on everything elese. Don't let yourself burn out by age 18...

[@Supersubg4mer]

phi was actually seen at the end of the video from animation vs. math.

[@titanicminion]

I asked my teacher to show animation vs math to my class and they loved it

[@dojelnotmyrealname4018]

13:29 I'm sure Tom knows this, but technically the definition of fractal does not need to include self-similarity. Fractal simply means that a shape has a non-integer dimensionality. In short, when you change the length of each of the lines making up the shape by a factor x, the total volume (or n-dimensional equivalent) will change by x^D, where D is the dimensionality. Fractals have a dimensionality that is not an integer. The area of a fractal of dimensionality 1.5 would be calculated by taking the square root of the cube of the length, for instance. Fractal shapes that are not self-similar are hard to conceive of, so the two concepts get conflated, but the concepts are not the same.

[@asina6352]

20:43 OoooOOOo - d4, d6, d8, d12, and d20.

[@SavantGeist]

The attacker 11:43 is it tesseract??