Ruled surfaces: worlds from lines
ฝัง
- เผยแพร่เมื่อ 29 มิ.ย. 2024
- In this video, I demonstrate ruled surfaces and talk about how they work and what they can do. I spent Christmas working on this.
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Sections:
00:00 Intro
00:05 A Wrinkle in Space
01:47 The Cooling Tower
03:16 The Saddle
04:34 The Screw
06:35 The Möbius Strip
07:57 Outro
More on hyperbolic trig: www.whitman.edu/mathematics/c...
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Discord: / discord
Twitter: / zenzicubic
Website: zenzicubic.dev
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Music by Anders Enger Jensen.
Tracks:
Alpha Polaris - • Alpha Polaris
Alpha Centauri B - • Alpha Centauri B
Thanks for the video! Gave a nice intuition to me.
Nice 👍👍
cool
Happy new year
Good info and graphics! Do you think this geometry that you are explaining could arise out of spherical geometry? Say a process of spherical symmetry forming and breaking.
Happy New year
Ditto but I actually said it in 2023
You might want to look into using Blender for some cases. It's pretty powerful, albeit a little annoying to use. It has some ways to generate meshes from parametric surfaces. Since you're doing math stuff, you probably don't want a harsh shadow, so you basically want an ambient light (I think it's somewhere in the world tab.) that the camera doesn't see. I might make a video on it somewhat soon.
Interesting. I have considered doing that, but most of my animations are 2D. That video was more of a special case. Thanks for the suggestion though
You should mention that the 'cooling tower' is _also_ doubly ruled
I didn't actually realize that the hyperboloid was doubly ruled. Thanks for telling me.
@@Zenzicubic It's 'cause it's symmetric so the mirror image is another ruling