I never really studied topology but it sure feels like a field of math with a lot of nerd-snipes. In particular: let's talk about the Borsuk-Ulam theorem.

Vincent D. Warmerdam

A playful exploration of the Borsuk-Ulam theorem using interactive Python notebook widgets. The author demonstrates the 1D case of the theorem — that any closed curve on a circle always has two antipodal points at the same height — by letting users draw points on a canvas, smoothing a line through them, and plotting it in polar coordinates. The mathematical proof is also walked through using the Intermediate Value Theorem.

Having fun while exploring topology

<p>I feel smarter just having this appear in my list of things to read.</p>
