Ruled surfaces: worlds from lines

[@NehmuloseDoomish]

Thanks for the video! Gave a nice intuition to me.

[@Surendrasaini-n8q]

Nice 👍👍

[@user-lo3ov5hd9z]

cool

[@Dyslexic-Artist-Theory-on-Time]

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.

[@santiagomunozbarrios5795]

Happy new year

[@columbus8myhw]

You should mention that the 'cooling tower' is _also_ doubly ruled

[@Zenzicubic]

I didn't actually realize that the hyperboloid was doubly ruled. Thanks for telling me.

[@columbus8myhw]

@@Zenzicubic It's 'cause it's symmetric so the mirror image is another ruling

[@petevenuti7355]

Happy New year

[@Zenzicubic]

Ditto but I actually said it in 2023

[@josephmellor7641]

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.

[@Zenzicubic]

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