"pass through itself" does seem like cheating to me.
this post was submitted on 24 Jul 2025
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If you watch the whole video, it's really cool.
That's true. I actually watched both versions
is that the one with dialogue commentary, which got completely deranged as it went on?
I don't think that really narrows it down, but this is certainly one of the math animations of all time!
Yep. That one.
Mathematics are so beautiful, intuitive, logical, you look at geometry and something feels right as if the Universe itself is an harmonious flow of beauty...
...and then they invented infinities and topology and stacking squares and whatever cursed abomination allows you to recreate a second sphere by taking pieces of one sphere and rotating it and cakes you can fill with finite filling but not frost and this gif
whatever cursed abomination allows you to recreate a second sphere by taking pieces of one sphere and rotating it
A friend of mine told me a story about a mathematics professor saying something to the effect of "if you haven't heard of the Axiom of Choice, you're gonna want a beer first."
This animation and explanation is really good!! The studio, which is guess was new at the time, was called Pixar. According to the credits, one of the animators there shares a last name with one of the mathematicians who developed this method (Thurston).
Not a physical material but a "surface".