A Spinning Spiky Cube
It's a cube that spins in 3D. I made it for an upcoming article on the Generalized Stokes Theorem to show off that it has a consistent orientation in the sense that if you look directly at any side, you'll see a counterclockwise swirl. Using the right hand rule we can identify each side with an arrow pointing in or out of a surface. Since all sides have a counterclockwise swirl, all arrows point out.
This idea has applications in a ton of stuff. For example, Blender uses this consistent orientation idea to figure out how to put UV textures on objects which is why I didn't have to do anything special in the livestream besides unwrapping UVs. If you're interested in the applications of these ideas to computer graphics, check out Keenan Crane's Discrete Differential Geometry playlist:
• Discrete Differential Geometry - CMU 15-45...
Also, note that every half arrow on the side points in the opposite direction of an arrow touching it. For example, the red-green edge in the thumbnail has a red arrow pointing up and a green arrow pointing down. These arrows cancel each other out because the boundary of a boundary is zero.
If anyone has any questions, check out these articles and wait for the upcoming article on the Generalized Stokes' Theorem.
https://joseph-mellor1999.medium.com/...