Cambridge Mathematician Reacts to Animation vs Geometry
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- Опубликовано: 6 июл 2024
- 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.
• Animation vs. Geometry
Animation vs Math Reaction: • Cambridge Mathematicia...
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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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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.
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.
May I ask what is a platonic solids? (Just wondering)
@@分からないyou do realise you have Google available right? As much as it's nice to ask when someone doesn't know. Sometimes it feels kinda pointless
@分からない The Golden Ratio 3-d shapes that the Greek Philosopher Plato wrote about
@@分からないconsider the existence of a shape. We consider a shape to be "regular" if the parts of that shape are all identical, they do not intersect, and the angles where the meet are all the same. So, in 2D we have the equilateral triangle, the square, regular pentagons and hexagons and heptagons etc. In fact, there are infinitely many regular 2D shapes. In 3D there are exactly 5.
Plato didn't discover them, but they are a central part of his philosophy that there exists a perfect world of which our world is but a distorted shadow.
The regular solids (in the order they appear in the video) are the tetrahedron (aka, the D4), the octahedron (aka, the D8), the hexahedron (aka, the cube or D6), the icosahedron (aka, the D20) and the dodecahedron (aka, the D12). I referenced the RPG/wargaming dice because each of the 5 solids are those dice. (The D10 is not regular. It has more than 1 angle between edges and faces.) The dice "label" the regular solids in as much as the D number is the number of faces the solid has.
Because Plato was so successful in spreading this idea of a perfect world, we still refer to the concept today (a platonic friendship is one not involving any complications like sex or romance, for example). Because of his direct association with them along with the fact that they are "perfect" idealized shapes (we can't actually build them because that would require perfect tolerances in construction) we call these five platonic solids.
Fyi, there are 6 regular 4D solids. I believe they all appear inside the the hall of mirrors scene. For all dimensions above 4, the number of regular solids is exactly 3.
@@kregy7509 Now you're just being rude, they're allowed to ask someone more knowledgeable than them and not just rely on technology. Unless you want everyone to just rush over and ask ChatGPT everything instead of having social interractions...
"Sorry for the explanations." Uh, that is what we came for, my dear.
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
Tom from Oxford and Ellie from
Cambridge collab
Ah yes the two channels who reacted the Alan Becker
They both said that they found the real name of the second coming in their videos reacting to animation vs geometry. On an unrelated note, I got to see animation vs geometry before anyone else, because I found out you could fast forward past the countdown on the premiere
They should collaborate with all of the houses of Gryffindor.
Tom from Oxford and Ellie from Cambridge, you both should collab!
Indeed!
L I M B O
One step ahead of you 😉
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.
The blue icosahedron being water is a little funny because once the 4-D object is inside it became an (inverted) liquid core d20
@@tealynx"Roll for mathematics"
"Nat Φ"
Not only does the 24-cell lack an analogue in 3D, it's the only polytope that lacks an analogue in _any_ other number of dimensions.
First of all neat learned something and second of all poor thing is lonely and lashing out
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?
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.
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.
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
They exploited Terkoiz being a bit out of his league on this particular project XD
You’ve never had a paper cut?
Perhaps because the center of the object aligned at a single 3D point?
@@Tr4ns1st0r That's just projection, though, isn't it
@@FireyDeath4 I don’t know, I’m gonna be honest…
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.
except that the 24-cell is a hyper-octahedron.
u can go frame by frame with the < > keys
she knows
She was doing that at 12:47 ish
And you can have a video control plugin, that can speed up any video, even adverts, for the non skippable ones, it works great, for the ones with skip, not so much. But you can also create and modify keys, like moving 1 or 0.1 seconds before, to not have that mush skip like with the arrow keys, and you can also slow down the video to the desired speed for the explanation you want to do, and you can also use it for transcript, to slow or speed up to the rythm you have for typing.
The plugin is video speed controller.
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 😁👍!
the 4d object is a hyper diamond, since they absolutely hate center symmetry its attacking orange and phi
"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.
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
Its basically the same thing
Its a different series so
No, his official name is the second coming, but people still call him orange, the other orange stickman is king orange
Now that's hypocritical now isn't it, but that's what makes people:people ✔✅✔✅✔✅✔✅✔
The theories behind them are Really Great too!
I have been waiting for your video for a long time ❤😭 even though I hate maths
This was awesome 😁
Thankyou teacher for the explanation😂❤, loved it the way you o explain n keep smiling
Just found your channel and having a great time! Would love to see a fractle video!
Thank you so much 🥺 I’ll get it on my list!!
Just finished Mathmatics and physics and now geometry what a surprise.❤
What do you think is next?
these are great!
The design in the background is apparently a Sleighofk's Carpet (definitely butchered the spelling)
Agree en.m.wikipedia.org/wiki/Sierpi%C5%84ski_carpet
Sierpiński carpet I think
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)😁
I agree. A circle is a lovely shape
Me too I have watching all of your videos in a long time for years. I’ve been watching your video.
I found maths so interesting yet, I don't like this subject myself, it's like magic, I love magic, yet I can't make magic like you do, I really want to know your secrets on how you went from hating maths to loving maths, because I myself wanna get immersed by it, since I've been watching some of your videos, and never was I so captivated.
I would love to see Allen and his team to play a game called beltmatic I’ve never seen anyone get past level 15
Could you make a video on fractals? Since you're ok with nerding out about them? 😅
Yessss!!
5:12 Wow, same here.... Coincidence?
The orange stick figure is called the chosen one that why he always wins!
Correction: The Second Coming
The chosen one is the black stickman with flame powers and laser vision
Last bruv😂
Please nerd out :) Don't know about others but I am here for that :)
Thank you 🥺 it’s my favourite thing to do 😂
Trying to destroy a 4D with a 1D object is like trying to defeat a human with paper.
with a 2d object it is like a stick but with a 3d object it's a sword!
it's a nuclear bomb with a 4d object :D
probably the sun if there's ever a 5d object
I love ReactJS! Heart Ellie!!
Hey Ellie, try the UCB paper of ISI Examination (Indian Statistical Institute Examination)
maybe i am going ahead of myself but At the end , everything going back to a single point , will again start the formation of line then orange coming out of it and the whole video will be in a time loop.
Good Morning，Miss Sleightholm
The animation is amazing!
James WHK 07-07-2024
dragon curve
As a normal human being myself, i absolutely do not understanding because i have 0 iq
next video i want see is tom rocks maths vs eille sleightholm
Please do a video on fractals! They are so interesting!
I will! They’re so cool aren’t they!
@@EllieSleightholm Yes they are! Simple patterns with literally infinite complexity!
I just copied my comment from toms reaction video, and before anyone tries to correct me, even if you're right, pay careful attention to my wording, I am also correct. Wouldn't want anyone to miss the POINT of my comment.
Fun fact, the platonic solids were actually demonstrated in increasing order of vertices as the tetrahedron has 4, the octahedron has 6, the cube(hexahedron) has 8, the Icosahedron has 12, and the dodecahedron has 20. It's actually funny to note that objects after the tetrahedron are pairs with the number of vertices and faces swapped. so if we were to discover another layer of these solids it would probably follow a similar pattern of the swapping and would thus be discovered in a pair.
Thats the dragon curve fractal i think
I'm still bad at understanding golden spiral
Stunnig)
Great video. I have a question. As a teen who will soon have to choose a University, would you recommend Cambridge? (If I get the required grades, of course). What's the student debt like? Work schedule?
You make me nervous when you talk about a reaction to a video
You have 69K subs....nice
Dear Miss Sleightholm，Good Morning
Re : 4 Yrs Ago，You never believed that you could be a Master Graduate In Maths in Cambridge
MATHEMATICS IS A GIFT FOR THE GIFTED，THEREFORE YOU'RE THERE
James WHK 14-07-2024
Tom Rocks Maths from Oxford and Ellie from
Cambridge collab
What is a 4-D object?
Objects from the fourth dimension. Do you know the basic concept of three dimensions, length, width and height? Something would become four-dimensional if we added a fourth 'direction'. The problem is, we as three-dimensional creatures are trapped in a three-dimensional world and it is impossible for us to imagine true four-dimensional shapes. So what we can do is imagine the effects and "shadows" of four-dimensional objects in three dimensions.
@@Faust_000I thank you for taking the time to explain what it is. However, although pretty good at Maths, I am still unable to visualise 4-D, or even come close to imagining it as you seem to be capable of doing - guess I am simply not that smart. I will continue in my attempts and, who knows, maybe I will experience a eureka moment - (or should that be an eureka moment?)
@davidbrown8763 there are a lot of RUclips videos out there about 4d, one series I'd recommend is actual a devlog for a 4d golf fame by the RUclipsr codeparade, I don't know if it'll help your problem but I'd definitely recommend it anyways
@@davidbrown8763 Don't worry, being unable to visualize and imagine four-dimensional shapes is a human characteristic (literally). No one can imagine the true form of four-dimensional objects, not even the inventors of the concept itself. All directions (dimensions) that we imagine will forever be three dimensional, never reaching four dimensions. The way we can create visualizations of four-dimensional objects, such as the tesseract and the objects in this video, is by comparing them to the effects of three-dimensional objects on the two-dimensional world. It would be too long if I explained everything in this comment, I suggest videos explaining four-dimensional objects that are scattered on the internet. Also, there is a game called "4D toys" (or something like that), it doesn't visualize the true four dimensions, but it will make you understand the concept much better.
@@Faust_000 I thank you for that re-assurance. Have a nice life.
Ok, it's been three videos so far if you can't reference the chosen one or the second coming next time I can eat my hat
I mean his real name is orange
69.420 k subs. NICE
At 8:40 what were you referring to? The putman problem????
Where is the sound of the video?
Can u explain interstellar
i was here
Know if it is
yaaay
❤🎉😊
I love when matematicen go tetrahidron octohidron hexahidron my dnd go d4 d8 d6 d12 d20
Animation vs DnD, roll for initiative!
I am indian
I got 0 in maths so i am dumb 😁
1,871st!
I’m 52 away from you :)
So far I think that the geometry one is the worst of the series, it's not bad by any means
3:45 STOP APOLOGIZING FOR THE POINT OF YOUR CHANNEL!!!!! you shouldnt apologize for nerding out about something you love anyways, but especcially NOT HERE. im not only mad... im disapointed TOO!
*glares*
..
😉
You are so beautiful ellie
I'm the seventh like!!
Second
Third*
First
6,869 views in 6 hours? bro fell off.
You're not funny at all. There are 2.147x10^6729 other people that have said this already.
You are soo pretty🥹
Bro you talk to much don't yap alot
if you love something sm you cant stop yapping lol let her be
Bro will call a speech, a teacher teaching and presenter's presentation as "yapping".
Don't feel sorry for noting out!
It's who you are! A Content creator who's confident about who they are is better than any faker❤️🩹
Tom from Oxford and Ellie from
Cambridge collab
Tom from Oxford and Ellie from
Cambridge collab
Tom from Oxford and Ellie from
Cambridge collab