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Next 4D Toys Update Preview (Patreon)

Published:
2021-11-03 22:04:03
Imported:
2026-06

Content

I thought it might be fun to give patron-only updates about what I am working on!

One of the shapes people request the most for 4D Toys is the Klein Bottle, but I didn't do it because it's a 2D shape, which means that when you slice it it will give 1D shapes or lower: so it will look like lines at best, and most likely just a bunch of floating points, which is boring looking.

But I feel like I should do it anyway! Because:

- Numberphile's main video explains the Klein bottle as two Moebius strips glued together, which I think is unnecessarily confusing.

- All the YouTube videos about Klein Bottles kinda hand-wave the 4D part of it (the fact that you need a a self intersection in 3D). So at the very least I can make a good (short) video about that, and show a Klein Bottle that doesn't intersect itself, using the 4th dimension!

- I can also show a 2D/3D version that explains what is happening.

If you have any thoughts about what I could do related to this, let me know!


Comments

Samuel Loy

I definitely have been frustrated by the lack of 4D explaination when it comes to klein bottles. I mean I understand it when numberphile and the others talk about it, but if I show someone else a video, I have to do the mind warping part of explaining "Imagine there was another direction you could travel..." or some other explanation maybe involving tesseracts.