*Ref: The Borsuk-Ulam Explorer by Colin Cotter and Julius Ross *
What a pretty visulisation of the Borsuk-Ulam Theorem in realtime!
In mathematics, the Borsuk–Ulam theorem states that every continuous function from an n-sphere into Euclidean n-space maps some pair of antipodal points to the same point. Here, two points on a sphere are called antipodal if they are in exactly opposite directions from the sphere’s center.
I don’t distinctly recall this theorem as part of my undergraduate studies. Perhaps, I didn’t appreciate the beauty back then.
Might check out Ulam’s autobiography at some point as well.