0:20 I just noticed now that TSC gets out where the "Golden ratio" is, a minor detail that people might've overlooked in the first watch. I hope I'm not the only one who did noticed it.
i really liked how you talked about the use of fractals and how the villain was "crushing the dimension" of it, that was something I noticed as well but haven't seen much discussion on. i also thought that at the end with the infinite hall-of-mirrors things was very reflective of that, and how similar it was to a fractal but in a higher dimension, being self-similar and infinitely complex, always "rough" no matter how zoomed in. to me, i considered that with the breaking of the polygons, fractals were used as a 'bridge' between dimensions, as they can be expressed as having a dimensionality of between 1 and 2, and then the mirror space had a similar theme (especially considering the fractal shown that's similar to the dragon curve) of being a bridge between the 3d dodecahedron and the 4d polytope. i originally thought that the 4d shape was the 4d analog of the dodecahedron, due to how much emphasis the story placed on pentagons, i thought it would be like: "the villain needs to be contained in a shape that uses the same 2d faces", and maybe that's what they wanted to do, but then realised how nightmarish animating a 120-cell would be lol
A 3d version of 24-cell is a tetrakis cube, a cube with square pyramids stuck to each face. If you take a tesseract and add a cube pyramid to each cell, you get a 24-cell. That happens because the angle between the base and the side of an equilateral cube pyramid is exactly 45 degrees. Tesseract's dihedral angle is 90. 45+90+45=180, meaning that the square pyramids making up the surface are coplanar and become octahedrons, and so the resulting shape satisfies all the requirements of a regular 4-polytope. On wikipedia there is a gif of 24-cells cross-section where for a moment you can see it become a tetrakis cube with coplanar triangles. Hope that's not too confusing.. edit: tetrakis cube with coplanar triangles, aka rhombic dodecahedron
For some reason im finding nobody talking about the damage done at 7:25 that "Octoplex" does to the Golden Pengaton. can you please explain it?, The damage effect i mean is the circles and effect further into the Pentagon than the actual damage. It seems different when you can see it again at 8:53, too
Hey, I've subscribed on Wild Mathing! Fortunately I understand both English and Russian (my 3rd and 2nd languages respectively). Your voice so easily recognisable). Привет с основного канала! Даже не ожидал увидеть на английском у себя в рекомендация
Sir, i doubted if was possible some one make a really great explanation about that video on surch a short time. But, this was amazing 👏 👏 you work hard and well done
Im quite sad that he did not include any constructions... in fact a lot of geometry was missed... the entirety of analytical, non synthetic geometry!!!
Those oranhe character also known as The Second Coming (TSC) but its okay to call him orange, also the golden ratio also appeared on Animation vs Math also great explanation, I might get A on the exam this time
0:20 I just noticed now that TSC gets out where the "Golden ratio" is, a minor detail that people might've overlooked in the first watch. I hope I'm not the only one who did noticed it.
now that i rewatched this that's pretty cool actually
Man this guy is underrated. Now the video isn’t so discombobulating (confusing) anymore.
i really liked how you talked about the use of fractals and how the villain was "crushing the dimension" of it, that was something I noticed as well but haven't seen much discussion on. i also thought that at the end with the infinite hall-of-mirrors things was very reflective of that, and how similar it was to a fractal but in a higher dimension, being self-similar and infinitely complex, always "rough" no matter how zoomed in. to me, i considered that with the breaking of the polygons, fractals were used as a 'bridge' between dimensions, as they can be expressed as having a dimensionality of between 1 and 2, and then the mirror space had a similar theme (especially considering the fractal shown that's similar to the dragon curve) of being a bridge between the 3d dodecahedron and the 4d polytope. i originally thought that the 4d shape was the 4d analog of the dodecahedron, due to how much emphasis the story placed on pentagons, i thought it would be like: "the villain needs to be contained in a shape that uses the same 2d faces", and maybe that's what they wanted to do, but then realised how nightmarish animating a 120-cell would be lol
9:44 that light source looks familiar, like singularity
you were the first person to discover that the glow of each polyhedron matches with the 4 elements
The platonic polyhedrons are associated with the elements?:
🔥 = tetrahedron/tryangular pyramid
☁️ = octahedron
🪨 = hexahedron/cube
💧 = icosahedron
⭐️ = duodecahedron
Neat explanation
A 3d version of 24-cell is a tetrakis cube, a cube with square pyramids stuck to each face. If you take a tesseract and add a cube pyramid to each cell, you get a 24-cell. That happens because the angle between the base and the side of an equilateral cube pyramid is exactly 45 degrees. Tesseract's dihedral angle is 90. 45+90+45=180, meaning that the square pyramids making up the surface are coplanar and become octahedrons, and so the resulting shape satisfies all the requirements of a regular 4-polytope. On wikipedia there is a gif of 24-cells cross-section where for a moment you can see it become a tetrakis cube with coplanar triangles. Hope that's not too confusing..
edit: tetrakis cube with coplanar triangles, aka rhombic dodecahedron
For some reason im finding nobody talking about the damage done at 7:25 that "Octoplex" does to the Golden Pengaton. can you please explain it?, The damage effect i mean is the circles and effect further into the Pentagon than the actual damage. It seems different when you can see it again at 8:53, too
Nice explanation. It feels like storytelling, and it's awesome
That's is really awesome, you made it very simple and clear, Thank you
1:46 "Now it is indeed appropriate to call it divine proportion." 💀
Hey, I've subscribed on Wild Mathing! Fortunately I understand both English and Russian (my 3rd and 2nd languages respectively). Your voice so easily recognisable). Привет с основного канала! Даже не ожидал увидеть на английском у себя в рекомендация
This is how we learn
Nifty AF !
You're right. Octaplex is a very cool name.
5:17 also known as a Icositetrachoron.
Early in, this is great already! Also, this orange stick man is named The Second Coming
Sir, i doubted if was possible some one make a really great explanation about that video on surch a short time. But, this was amazing 👏 👏 you work hard and well done
Im quite sad that he did not include any constructions... in fact a lot of geometry was missed... the entirety of analytical, non synthetic geometry!!!
Hes second coming from animation vs physics 9:51
nice, someone who has noticed that the octaplex shoots out octahedron projectiles
Idk the cube monster that destroys everything
The villain is a 24-cell
Those oranhe character also known as The Second Coming (TSC) but its okay to call him orange, also the golden ratio also appeared on Animation vs Math
also great explanation, I might get A on the exam this time
allan is Smart :0
Alan has actually said that his lead animator, Terkoiz, is the brains behind the whole series!
@@JamesDoesStuffGood oh
@@JamesDoesStuffGood man Terkoiz is truly underrated, he also made Shock which made my childhood
theres way more than five regular polyhedra
yeah!
It's a tesseract
did you just call TSC (The Second Coming) Orange..?
alan also calls him orange, so it's no big deal
well it’s not like there’s another orange in the vid currently so free to call him “orange”
nice
I think you are geometry world
Желаю удачи с видео на английском языке!
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