Cambridge Mathematician Reacts to Animation vs Geometry

Reacting to Alan Becker's 'Animation vs Geometry' 📐 Watch me nerd out about mathematics and animation again...

Watch the original Alan Becker video here! *The original video is the property of Alan Becker. The footage in this video is used under a fair usage policy.*

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For those of you that are new here, hi there 🌞 my name is Ellie and I'm a Part III Mathematics Graduate from the University of Cambridge! This channel is where I nerd out about all things #STEM so if that sounds like something you're interested in, click the subscribe button to follow along ☺️

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[ZaiexVASMR]

One thing i love with these educational reactions is, as a person who likes maths and physics, but still learning and don't understand a lot of things. Seeing your perspective and reaction and hearing your thoughts and gaining knowledge from your knowledge is really satisfying. And you taking the time to explain stuff to the best of your abilities is commendable and i thank you for it. So there's no need to apologize if you want to educate, it's up to the people to take the time as well to take in the knowledge if they want to.

[zannyrt]

As a math enthusiast myself, I found it difficult to understand but apparently, the 4-D object is a 24-cell and Orange and Phi trap it in the platonic solids going from tetrahedron, octahedron, cube, icosahedron, and finally the dodecahedron.

[paulsmith]

"Sorry for the explanations." Uh, that is what we came for, my dear.

[dylanjohnson]

The fundamental concept of Animation vs. Geometry is order vs chaos. Phi, the golden ratio, represents all of the unity of mathematics, which is where we get the platonic solids from, and all of the fractals that the 4D object create are all part of chaos theory

[xsunil]

"Sorry, I might be explaining a lot. I am nerding out."

Well, that's what we are here for. Nerd hard Ellie. We love nerd stuff.

[sameergangat]

Tom from Oxford and Ellie from Cambridge, you both should collab!

[arinodyssey]

Tom from Oxford and Ellie from
Cambridge collab

[tekbox]

Something to add in is that the platonic Solids in 3d got elements associated which you can see in their behavior and color. The tetrahedron is fire, the octahedron is wind and floats, the cube is earth and is heavy, the next one is water and is stretchy and the final one is aether which is something along the lines of a perfect material or something like that if I remember correctly. Also the 4d object is a 24-cell and if I remember correctly doesn't have an equivalent in 3d because it's made of octagons while the other platonic Solids all have 4d equivalent like the cubes equivalent is the tesseract.

[kdog]

It also demonstrated the 30, 60, 90 triangle. It stuck out because i'm covering this at the moment in my own studies to (re) learn maths. Doing the unit circle, which is oddly fascinating.
Edit: "Why does it look like space invaders" There was an early form of computer generated imagery that was referred to as 'vector graphics'. Polygons were constructed and thrown around the screen to represent objects. Early arcade games like, Space War, Lunar Lander, Tempest and Asteroids all used vector graphics.
Edit 2: Could the tesseract smashing lower dimensional objects into fractals be a reference to imaginary numbers and the complex plane?

[iodred]

20-sided friend is an icosahedron. Coincidentally, my profile image. Someone already mentioned but all the 3d objects get assigned colors, and the 4d objects we later see inside the dodecahedron are the regular convex 4-polytopes, i.e. 4d analogues of those 3d objects, e.g. Icosahedron was blue so the blue 4d object was a 600-cell or hyper icosahedron.I believe the reason the dodecahedron is the one that ends up succeeding to contain the (what seems to be) 24-cell, is because the *hyper* dodecahedron is the "largest" regular convex 4-polytope, having all its predecesors inscribed inside it recursively, meaning basically it contains (at least) one of each.

[bcnghhwk]

the hypershape was breaking out of the 3D containments because IT was a hyper-dodecahedron.
it's only when Phi has that eureka moment of seeing the pentagon that he builds a 3D dodecahedron, traps the 4D shape, and then you see all 4D versions of the solids inside.
Phi was "trying to find it's geometric resonance", so to speak.... if there even is such a thing.
...that's a trope in sci-fi: find the anything resonance of something, to blow it up.... very prominent in Star Trek.

[KevFrost]

I interpret this as phi takes orange on a tour of Euclidean geometry. In comes a 4D shape emitting fractals and apparently incompatible with Euclidean planes.

[krispyking]

u can go frame by frame with the < > keys

[malaco__]

the 4d object is a hyper diamond, since they absolutely hate center symmetry its attacking orange and phi

[KENTAURUS-ffyh]

How did they trap a 4th dimensional object in a 3d object wouldn’t that be like trying to trap a person in a single piece of paper

[Skyclw]

So close Ellie, Orange is the other orange stickman :) This is TSC, or the The Second Coming. And stop apologizing for nerding out, that's why we're here

[TemiM]

I fr wish I had these kind of animation videos in middle school and high school. It’s my personal opinion that public schools tend to make academic content so boring, even if it’s about things you’re interested in. I’ve never appreciated mathematics more than I do now because of Alan Becker, and bro’s only done three videos like this (the math, physics and geometry animations). I rate all of them as S tier 😁👍!

[TheRealMBTS]

The name of the orange stick figure is 'the second coming' tying in with the other multiple stories that alan has created

[TehSmokeyMan]

Wow, bit late to the party (how'd I miss this?)😅
Anyway, great video; loved to see your reaction on this gem. Also; don't worry about "nerding out". I love that enthusiasm😄
Tiny, miniscule nitpick though: I can see King Orange shaking his head everytime you call Tee (T.S.C.) "Orange"😆

Anyways, isn't that background not a Sierpinsky Carpet or Menger Sponge? Not too sure though, I'm more at home in electronics and (very, _very_ basic) microarchitecture😅
Also, as a MTG "nerd" I like how all my die are Platonic Solids (D4, D6, D8, D12 and the venerable D20)😁

[IshanOtaku-sqou]

I have been waiting for your video for a long time ❤😭 even though I hate maths