Animation vs Geometry - An Over-Analysis

[@Derpinator01]

Additional notes: (a): The 24-cell is a 4-D Platonic Polytope, and is the only such shape without an analogue in 3-D space. The outer cells are octahedrons, which is why they are the projectiles used against the Golden Kite. (b): The colors the Platonic Solids at the end shine when stressed by the 24-cell reference the elements that Plato associated with them (Fire, Air, Earth, Water, Universe/Aether)

[@redstocat5455]

Cool

[@Integral21]

the "24-cell" is a 4d dimond

[@Derpinator01]

@@Integral21 I'm not sure a diamond counts as an analogue for a regular polytope [where all angles, sides, and cells are the same ] like the Platonic Solids are to the other regular polytopes

[@ziggyzoggin]

nuh uh, the 24 cell is a 4D rhombic dodecahedron

[@Derpinator01]

@@ziggyzoggin That is a Catalan Solid, not a Platonic Solid. Platonic solids require that all the angles of each face are equal along with each face and edge being the same, while Catalan Solids just require the faces to be the same.

[@lilbill2025]

i swear this 24-cell gotta be the most hater ass thing ever, phi and TSC is just messing around with geometry and dude just started chasing them for no reason lol

[@broging_bread]

it probably was eating the shapes or smth

[@SysFan808]

"you're supposed to be using the fourth dimension!"

[@TitaneRam]

So as much as we all know 24 cell started this whole thing, it's not the way you say See 24 cell was eating or destroying the phi square and continued to the 1+phi one and went totally above Phi and TSC It was only when TSC attacked it that it started chasing them So no, it did not chase them for no reason But it's still the one that started this whole thing

[@LoafOfCat123]

@@TitaneRam I mean, it tried to destroy the square so

[@TitaneRam]

@@LoafOfCat123 you can re-watch the video if you'd like to You'll see that 24 cell was only eating straightforward instead of into TSC and Phi and only started eating to their direction when TSC attacked it

[@cpcekzz]

1:46 When Phi moved towards TSC, it kicked the ratio forwards from the golden ratio (1.618) to √3, which explains why the right-angled triangle formed later has the interior angles of 30, 60 and 90 degrees.

[@NguyenMinh792]

It did that intentionally, didn't it?

[@cpcekzz]

@@NguyenMinh792 Yep, a tiny detail

[@enochpierre]

​@@cpcekzz Phi comes out from the golden ratio to √3. Which explains right angled triangle. And the second coming are confused about platonic solid. The villain is 24-cell

[@RedBoi88]

I like how Phi is kinder to TSC than Euler was, even though they're both irrational numbers lmao

[@redstocat5455]

Euler's number to the power of pi × i was still more understandable, and still helped him exit his world

[@ghostofthesea630]

Noticed how Phi taught some things to TSC moments after meeting? And then waited after that to let TSC handshake them

[@s.e.111films3]

Phi was in the Euler video, so it probably knows how TSC can be. It let him earn its trust without being defensive like Euler.

[@TitaneRam]

When it came to Euler's Identity, it seemed just scared of TSC not knowing what it was and TSC thought that it could help him escaping this world As for Phi, it helped him the moment he was hanging for his life and they quickly got to work with eachother

[@TitaneRam]

@@s.e.111films3 i did not think of that Good Point

[@9fruitsu]

A cute little detail, at 1:47 Phi's movement moves the ratio forward just a smidge, locking it at square root 3 which is 1.732, just larger than phi's 1.618

[@NguyenMinh792]

Why do I find Phi cute?

[@ArtemisAYO]

​@@NguyenMinh792you're not alone

[@asheep7797]

[32] This is actually a variant of the Dragon Curve, where the legs are scaled and rotated according to constants determined by the Golden Ratio.

[@Keys2Notes]

WITHIN TWO HOURS DAMN

[@Thy_Guardian]

that's how you know the channel knows what he's saying

[@I_play_minecraft_all_day]

Pls no bad words..

[@xm4366_]

​@@I_play_minecraft_all_day this is the internet. Move on.

[@johnnyho5833]

@@I_play_minecraft_all_day that word isn't as bad as other curse words

[@Selatapey]

7:52 One cool thing about this is that as Orange throws the dodecahedron, all of the points on the 24-cell align into a 3d looking shape. Not sure if it means anything, but it’s just something I noticed

[@blikthepro972]

i guess when the 24cell aligns, it can have proper math done to it

[@youssefchihab1613]

@@blikthepro972 no it's just perspective, I don't think the math behind it would chalnge f you changed your perspective

[@gabe456]

its probably for cinematic purposes or something

[@Nate7.75]

Wow nice catch. It might be similar to how 3d objects can appear 2d if they intersect the 2d plane at one of their faces.

[@ailaG]

Maybe that's how it's caught with a 3d object

[@GeneralJaydonius]

The ultimate theory for Animation vs Sciences : It's actually implied that, across all the AvSciences so far (Yes, Math is a science, the study of measurements), the ultimate theory is exploring the concept of Hologram Universe theory. Math, Physics, Geometry. All these are subjects have their own means of proving that theory. And it's insane to suggest, but vs Physics has actually given us the first major sign. At the end of vs Physics, the Einstein-Rosen Bridge Whitehole is described as "Hyperbolic Space - *Dodecahedral* Projected in H^2". And, guess what was the ultimate conclusion to vs Geometry? The final platonic shape. The Dodecahedral. And who do we see inside the Dodecahedral? TSC-TheSpaceCowboy from vs Physics. If we ran with this theory, it has INSANE implications because it LITERALLY ties back to the concept of the AvA series. LITERALLY about 2D stickmen contrasted by our 3D world. What if it was vice versa? What may be 3D to us, is 2D to them? This is the basis and effect for the Hologram Universe theory- That, when one universe looking in might see us as an image, we would have the same effect on the opposite end. Think about it. Euler's Identity - Negative 1, the inverted omnipresence White-Hole String Theory - Dodecahedral Wormhole - Time and Space compressed into a 2 dimensional space Geometry - Platonic Solid Dodecahedron - Pushing past the realm of 3D

[@gaelonhays1712]

Another interesting fact is that the cube and the octahedron are... I don't remember the word, but a cube inside an o-h will touch each face with one corner (8 points on a cube, 8 faces on an o-h), and the same is true in reverse (6 points on an o-h, 6 faces on a cube). That's why TSC inscribes the cube inside the o-h. I don't remember if any if the other solids do that, except that the tetrahedron is self-inscribing (4 points, 4 faces).

[@gallium-gonzollium]

You’re referring to the dual of a polyhedron. Icosahedron’s dual is dodecahedron, and cubes dual is octahedron.

[@gavros9636]

@@gallium-gonzollium And here I was using a 2d version as my profile picture on most sites where I bother setting one for the past 6 years without ever knowing the geometry of the shape. I just liked it as a design, my own personal signature.

[@boderaner]

24-cell is also self-dual.

[@sargentgullible2794]

Not going to lie, this sounded like a much better explanation than what I had in my mind. *"technically"* speaking, since a cube is made of squares, and squares are basically two triangles stuck together, so... multiply that 6-side for the amount of triangles and that nets you 12 sides. if going by polygon count, each of those platonic solids progressively keeps getting higher.

[@lunarheavens2819]

The animation vs physics reference is actually so smart because the dodecahedron represents the universe and in that video tsc explores like the universe and stuff

[@gundamloverjk]

Cant wait for animation vs history explained so i can ace my test lmao

[@the_mariocrafter]

I doubt he’ll make Vs history or Vs English, but I bet he will make Vs programming

[@SafouaneMarrakh]

Or chemistr

[@stacyimagination3936]

You're in history major? That's awesome!

[@gundamloverjk]

@@stacyimagination3936 i uhh Im a science stream student (i take biology, chemistry and physics) and history is required in my country I dont think it will actually help ace my test but i am learning abt revolutions and other stuff so yee Plus its rly entertaining

[@stacyimagination3936]

@@gundamloverjk so you enjoy history a lot more because it's entertaining

[@Stakatakataka]

Spoiler alert: The reason why the Platonic solids have different colours because the ancient Greeks thought geometry was so important in mathematics, they allocated them with elements. Here they are: Tetrahedron represents fire, hence why it’s red. Octahedron represents air, hence why it’s white-ish. Hexahedron (cube) represents earth, hence why it’s green. Icosahedron represents water, hence why it’s blue. And finally, dodecahedron represents Aether, hence why it’s gold (and this is probably the reason why it was able to contain the 24-cell as it is the final or like the ultimate Platonic solid). Also the 4D shapes inside the dodecahedron have the same colours as their 3D counterparts (apart from the shadow or the 120-cell).

[@NguyenMinh792]

That's what I'm about to mention too!❤

[@tekbox7909]

also they behave in accordance to their element with the octahedron floating the cube being heavy and being dragged around by the 24 cell bashing into it and the icosahedron stretching when hit. not sure on the fire bit and yeah the dodecahedron representing aether is probably why it could contain the 24 cell

[@Stakatakataka]

Oh yeah now question: why did the first 3 only showed their colours when stressed but the last 2 already had their colours

[@tekbox7909]

@@Stakatakataka good question, no clue, artistic liberty?

[@Stakatakataka]

@@tekbox7909 maybe

[@AndGoatz04]

i just love how it's all this math stuff and then just "[27] it's just asteroid lol"

[@JlJoJo_2567]

cant wait to watch this Edit: just watched it, love how deep the geometry gets in the end

[@SunnyKimDev]

1:47 Phi nudges the midpoint to the ratio sqrt(3), which foreshadows the right triangle with 30°, 60°, 90° angles. Such a triangle has side lengths of ratio 1:sqrt(3):2.

[@RishiAggarwal-z5m]

The beat at 4:20 is fire Not kidding, the shots sync with the music

[@NguyenMinh792]

4:25

[@zian01000]

3:47

[@JediJess1]

I liked 5:27. The music in this one is such a banger! Action sequences synced with music is my favourite cinematic trope.

[@aidanluhnow267]

Of course it's 420.

[@supercharged5-39]

I like how every animation vs of this kind ends with TSC entering a higher dimension

[@ÞeOfficialCeresouslyAnimatesYT]

0:15 1 dimensional TSC

[@yelltinfowl]

I think technically it’s a 2 dimensional TSC as there are two points instead of one.

[@user-tl4bg3ci3g]

@@yelltinfowl 1d = one dimension, the left-right dimension. regular tsc is 2D.

[@delictum000]

​@@yelltinfowlThe one point in the blank space at the start is zero dimensions btw

[@Jdslkadflksd]

​@@yelltinfowl with that logic a cube would be 8D

[@MarsandCars]

Tsc?

[@baraabody3097]

He did Math and Physics And now Geometry now i think Alan's a math engineer or idk 💀

[@spirittail4958]

If I remember correctly he has some hired animators that are experts in these various fields or at the very least according to the physics episode he has someone who he knows that's an expert in the field lead the animation to make sure everything is accurate

[@reidj2226]

To be precise, Terkoiz specifically mentioned by Alan and in credits as main writer. He's the math geek that suggested vs math episode and now they're continuing from there. Previously Terkoiz was known for... RHG stick duel animations with his OC FLLFFL who tragically dies after Terkoiz retired from RHG. And also Shock 1-3 about Red vs Green if you know those.

[@baraabody3097]

I actually never knew all of that 🤔

[@coldfanta4963]

​@@reidj2226FLLFFL my beloved

[@bombehjort]

@@reidj2226 aye yo terkoiz?! He was my favorite animator back in the days. i was wondering what he was doing recently. Its very difficult to get an update on him, because it seems like he don't bother to update his social media and such

[@StepperBox]

Now, was that animation vs physics at the end telling us that geometry actually takes place after math bit before geometry. As oilers number did send him to a different demention (a 2d one lol) And then when he falls into the infinite fractals he makes it to a physics based universe. So the order would be Math -> Geometry -> Physics

[@quangminh3523]

I just watched Alan's video 2 minutes ago,it turned my nightmare into smth especially fascinating,n' look, when I turned on KZbin there was an explanation video,how cool!

[@NguyenMinh792]

Daily dose of existential crisis made by Alan 😅

[@gundamloverjk]

Thats fast, not 2 hours after it posted Nice

[@Thy_Guardian]

that's how you know the channel knows what he's saying

[@ZudinGodofWar]

I was going to say the same thing

[@danielhoover5169]

One additional note: at 5:15 we see the 24-cell start throwing octahedron projectiles at Phi and TSC. This makes sense because the 24-cell is made with 24 octahedrons (hence the name) just as a dodecahedron is made with 12 pentagons.

[@user-pr6ed3ri2k]

Those are definitely triangular bipyramids though (2 tetrahedrons stuck together)

[@chnlofrndmvids8282]

Wait a 24 cell is literally just 24 octahedra?

[@tortiss101]

Also neat detail, the 24-cell revealing a Serpinski Carpet is a reference to fractal dimensions. The four-dimensional object destroying the two-dimensional space to reveal a (roughly) 1.8928-dimensional fractal Source: en.m.wikipedia.org/wiki/Hausdorff_dimension

[@zian01000]

Cool

[@griffin4cats]

8:06 That's not just any variation on the dragon curve, that's the golden dragon curve.

[@antares21-d7d]

one thing I'd like to mention regarding the 5 platonic solids: If you look up "platonic solids elements" on google, you'll see that each of the regular polyhedra represents an element (Fire, Air, Earth, Water, Aether). This is represented extremely well in the animation (for example, in 6:23 , when 24-cell tries to break out of the tetrahedron, a red glow appear because the tetrahedron represents the element Fire). I feel like this detail is overlooked by many, but I find it really fascinating, so yeah

[@the_eternal_paradox]

thing I'd like to add: they drew the cube within the octahedron because they're dual polyhedra, who share the same symmetries

[@NochSoEinKaddiFan]

This is the PERFECT companion to understand why the animation vs videos are so smart. You are like the museum guide who makes you able to appreciate the accomplishments you are looking at.

[@matthewsusilo8698]

6:46 You forgot to mention how the vertices of the cube are from the centers of the sides of the octahedron. All platonic solids can make another smaller platonic solid using the centers of it's sides as the new vertices.

[@gallium-gonzollium]

Yeah, it’s called a dual. I actually didn’t think the octahedron and the cube were physically connected, but in hindsight it makes sense.

[@destiny4963]

How is the 4d object being trapped by 3d objects? That would be like me getting stuck in a doorway. The 4d object would be able to escape the 3d object by moving in the 4th dimension just like I can escape a 2d frame by moving in the 3rd dimension.

[@NguyenMinh792]

It would be too mind-numbing

[@ideagenerator124]

Probably in the way that one could consider a pair of handcuffs as like a sort of 2D restraint on our 3D body, or perhaps like duct tape since that more closely resembles a stretched out 2D plane

[@icannotthinkofahandletouse]

idk if this is right but i don’t think 4D objects can phase through solid objects although it may as well be in another dimension.

[@Cl_over]

​@icannotthinkofahandletouse it's like containing a 3d object in a 2d box

[@vallikescrackers-28]

It’s so unique to see Phi come back and become a deuteragonist after he only appeared in the end of the Math animation to confront the Euler’s identity. The Second Coming and Phi are much like a compatible and breathtaking duo.

[@geokou7645]

I like how the 24-cell could just move in the w-axis and break out of any 3d container but it just doesn’t

[@cubeoi]

i love all these analysis videos, keep it up!

[@cubeoi]

and how are you so quick in making them 😭

[@miomango]

I have no idea how you managed to complete a full analysis of the video after just 2 hours but thanks man

[@Mortal2064]

[19] oooooooooh, *that's* why that normal-looking square has the gold highlight. It has an area of phi "(unit of distance)^2" (don't know whether we're in inches, centimeters, or just generic "units.")

[@anorbinspace51]

You missed the part where phi was a one wheel

[@limyicheng9510]

where?😅

[@hazemspeed9632]

4:54

[@limyicheng9510]

Is missing part about the golden triangle formed by TSC?

[@NguyenMinh792]

😂😂

[@agzzradface3113]

When Phi decided to make a prison out of octagons my first thought was "Of course! Octagons are the bestagons!"

[@johnboy1851]

SPOILER The Phi self-sacrifice at the end with the dodecahedron had me more emotional than most media now a days. :(

[@EraX52]

I literally took a geometry class last year and I still have a lot to learn, the Golden Ratio and 4-D stuff, I still did not know, but it was incredible to see. Cannot wait to get to that in the future, cause it looks amazing. What's next, chemistry, biology, or statistics?

[@albertthescout9169]

I'd assume statistics, since it stays on the "abstract" side, and then likely chemistry

[@Snipe4]

Chemistry would be cool

[@lorienmyers7643]

@@Snipe4 I'd like to see some fluorine reactions.

[@daviddoesthingss]

2 hours and we already have an analysis not complaining btw, i love this kinda stuff

[@statefromjakefarm5003]

To add (although I don’t know if this adds anything) the dragons curve is a fractal meaning it repeats it self infinitely small and big

[@bruhmodeactive3211]

containing a non-euclidian geometry in very eucludian geometry is a very fascinating idea to me, It feels like something that can be written into a novel

[@farmertree8]

Bro speedrunned like Phi unicycle

[@user-tl4bg3ci3g]

speedran*

[@windowxp1946]

real tho

[@UpDeadNeat]

Things I noticed: in anim vs math, in the ending, the character that came out of the line when it turned golden ratio was in the anim vs math ending, there was also a huge one

[@ThatAlx]

making a fangame with these concepts would be so cool

[@dmos1631]

Aditional note, 34 is also a reference to a different point in time of TSC, as the fourth dimension is time, and time is being, in theory, contained within the shape.

[@tristarnova3454]

Phi returns form the ending of animation vs math, aka the golden ratio, it appears their golden heart and also their relationship with euler’s identity could tell tsc was not a threat, and was just playing around during the 1st part, but that 24 cell is evil, though it is double the golden ratio dodecahedron that phi becomes.

[@donermehmed8159]

how can a 4 dimensional object be traped inside a 3 dimensional shape though? Cant it just step out using the 4th dimension? Am i missing something?

[@chihinlinb]

Very detailed explanation

[@pncka]

The story of the 24 cell is sad. It can't exist in any other dimension as only 4 dimensional geometry can create shapes in the 24-cell family(unlike square-cube-tesseract etc) so it wants to destroy the dimension it is trapped in.

[@ThatUnknownDude_]

btw 0:55 That is a Ray (geometrical concept). A line which has a starting point but no end point (denoted by arrow)

[@king_purplessness]

just found one of my new favorite videos

[@Bruhhh847]

Can [34] be something related to time ? I am really curious about that as it is considered as the 4th dimension .

[@Ethan_Hsieh]

lol i was looking for something like this… I’m taking geometry over the summer right now so this is very interesting to me

[@littlefox3099]

I love phi. Such a funny little guy.

[@AzureBloodX]

Phi is also easy to befriend.

[@NguyenMinh792]

​@@AzureBloodXit's cute

[@ibrahimarshad9481]

Animation vs Calculus would be insane.

[@The_Commandblock]

Thats in animation vs math already

[@UndefinedFantasticCat]

@@The_Commandblock not to it's full extent though Besides we are yet to see the ∆ protagonist in action and then there's Zeta and Aleph...

[@terminusest9179]

​@@UndefinedFantasticCat Aleph sounds like they would be introduced in Animation vs Large Numbers.

[@ibrahimarshad9481]

@@The_Commandblock If it isnt clear he didnt cover: Differential equations Integrals Functions Litterally 100 other topics THe list goes on and on.

[@The_Commandblock]

@@ibrahimarshad9481 Well, obviously you cant cover differential equations if you didnt cover equations at all, if I remember correctly the big e-monster in the final fight used an Integral sign to block attacks. Functions also appeared in the final battle. The Video also contained the infinite taylor sums for e^x. I also dont really get what you mean with 'cover'. Do you mean that it should have had an appearance? I definitly think that calculus had enough of an appearance for the average, non math youtuber community.

[@TheAstroG]

how tf? only 2 hours after upload?

[@Thy_Guardian]

that's how you know the channel knows what he's saying

[@OctavDev_Premium]

@@Thy_Guardian dawg how many replies are you gonna stalk

[@Thy_Guardian]

@@OctavDev_Premium Bro I'm not stalking I'm just complimenting the channel and raise awareness on how did he makes an over analysis that fast. Explaining it to only one person is useless so I reach out anyone that is asking the same question, it's common sense

[@rejedy]

around like 8:13, i noticed inside the dodecahedron has the penrose tiling which i find interesting and it really connects with the dodecahedron having pentagons as its faces

[@p0landwastak3n]

The Einstein of Alan Becker is back!

[@sir_zerin8401]

The animation also demonstrated that the octahedron and the cube are duals of each other.

[@czar6203]

Actually if you wanna complete the dodecahedron, you gotta add a cube of Φ³ in it too.

[@ukulelepichu4484]

man Phi and E (from animation VS Math) seem like cool buddies

[@erc6459]

To be fair, both irrational numbers have unique special properties that are used in many fields aside from Math.

[@AzureBloodX]

to be fair, your numbers were correct.

[@ИванПучковский-н7ь]

I still don't understand Why the monster shape was turning everything to fractals on damaging ?

[@gallium-gonzollium]

Sometimes mystery is better than answer.

[@_XxNECROxXShorts_]

5:21: I really thought that TSC was playing Asteroids when I joined the stream at that time.

[@NguyenMinh792]

He was 😅

[@_XxNECROxXShorts_]

@@NguyenMinh792 well then i thought he wasn't

[@mjkmjkiop]

The fact that TSC is getting gimself in the most random situation is to the point where hes in school right now

[@nayutaito9421]

One reason why 24-cell hates φ could be because the length of any two points of 24-cell can be either √1, √2, √3, or √4 times the side length, but not √5.

[@siddhartharonin]

Thank you for taking the time to annotate each of those moments.

[@humanperson8418]

If the shape is 4-dimentional, how can it be trapped in a 3-dimentional plutonic solid? It could just go round it.

[@Jc27uhh4h4h4]

0:15 tsc creates a spacial dimension, imediately scaling him to hyperversal, thus he beats goku

[@Wonder368]

HEY ITS ME, TSC! -TSC

[@Instashorts-8]

2:24. A rotation 90 degrees clockwise. 2:26. A reflection across the x-axis. 2:27. A rotation 150 degrees clockwise.

[@EpicCreepuh]

6:03 when a 1 dimentional line is the length of 0 it loses its dimensionality. Phis plan is to decrease the lines to 0 length and by that reduce the 4d monster into a single 0 dimensional point in space.

[@WizChirp09]

hey did anyone see at the end of the animation vs math that phi was there

[@Helmeds69420]

I feel like a small brain cells just reproduce himself 10x by just watching alan becker video, but reading this its like finding nemo but knowledge version

[@NguyenMinh792]

"Not a single cell in your brain wants to watch KZbin, but your brain with 8 billion interconnected neurons...does!"

[@Skivv5]

This is what reaction content should be.

[@creamedice667]

I love the sound design for this tbh

[@JakaKaya-gc9jb]

perfect video, exactly what i was looking for! ✔️

[@gallium-gonzollium]

@@JakaKaya-gc9jb Please confirm you’re not a bot 😅

[@atigerclaw]

Hmm... I'm sensing a pattern. First it's animation vs math, escape that only to end up in animation vs physics. Exit that, end up here in animation vs geometry. Then vanish. I wonder if the progression of these 'Animation VS' videos is going to work their way to programming, which then leads TSC home to the Animator's computer desktop, where the rest of them are waiting.

[@gallium-gonzollium]

What an idea.

[@atigerclaw]

@@gallium-gonzollium I had another thought. Every time The Golden Ratio is in play, the music drops back to a very specific chord. For example, while the messy monster is chasing them over to the finishing pentagram, the chord comes back the shape completes just in time for a beat drop. I'm wondering if the tone frequencies for the notes in the chord are golden in relation to each other.

[@HYPERSPEEEED]

I wonder, why can’t the “24-cell” go into the fourth dimension to escape the 3-dimensional “prisions”?

[@edwardcap7]

Because he is stuck in his own dimension and he can't have anything associated with it. Not even an Archimedean or a Catalan solid would help him anyway.

[@jakubremes7602]

How does a 3d solid contain a 4d thing? Schouldnt it be able to just go around or sth?

[@gallium-gonzollium]

Yeah that’s what I was thinking too, but I guess it got stuck in 3D like Orange in the beginning in 1D

[@dragoda]

Well done!

[@Error-gr8jm]

Did phi die or did he fuse with the last platonic solid to become one with the hypershape?

[@NguyenMinh792]

He must have fused

[@MrDionysos01]

thank you very much for the explaination. I feel less dumb now.

[@SarahAbramova]

Yesss I was waiting for the analysis!

[@SarahAbramova]

Sorry for deleting the comment, the extra "the" was driving me crazy.

[@CIDMARTINRUSSELLS.LACSON]

Wait, you uploaded this two hours after the actual video was released? I don't know how you were able to do it so fast, but that's crazy.... and at the same time, also amazing!!

[@kijjamburodney3086]

Is TSC on a path to self discovery?

[@NguyenMinh792]

Yes, he is, and we are

[@jkbenbot9305]

Minor correction, this assumes Platonic Solids can’t be self intersecting or infinite.

[@murmunster1761]

Phi just rising out of the line like "WHO HAS AWAKENED ME FROM MY SLUMBER"

[@brandonrojo7678]

Pythagorean Theorem has a lot of proofs. Sheesh. If you don't know what a² + b² = c² means, it just means that for every straight line on a triangle, if you square it, it makes the same square area as the hypotenuse/diagonal line.

[@3rr0r_e0e]

Listen, I'm not a mathematician or anything but an over-analysis being the same length as the vid, although it makes perfect sense mathematically, was kinda crazy at first glance-

[@randomize380]

Thanks this is what I am looking for

[@eduardpeeterlemming]

The animators are going crazy fr

[@rafaelgames720]

as someone who does not understand geometry, i definitely understood this.

[@Electrical8891]

4:59 lol, a skateboard? 5:07 is it a video game or something? 5:22 woah! He got some good moves!

[@NguyenMinh792]

5:07 yes! Line rider

[@thebananaspeedruns9275]

6:31 They trapped a 4D shape in a 3D shape on a 2D plain that uses 1D lines

[@overthegardenwall7143]

this shoul be the official sub-titles of this video!

[@yaidkbro]

the 4d shape is a isocahedron i think

[@2fortune]

Doesn't Phi also appear in animation vs math?

[@bluecrayfish2081]

How the heck did you manage to make this so quick? It has been 2 hours

[@Thy_Guardian]

that's how you know the channel knows what he's saying

[@GCoolCuber]

Thanks! Now my geometric brain as a speedcuber is getting bigger