HBO and The Ringer's Bill Simmons hosts the most downloaded sports podcast of all time, with a rotating crew of celebrities, athletes, and media staples, as well as mainstays like Cousin Sal, Joe House, and a slew of other friends and family members who always happen to be suspiciously available.
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We explore how a simple coloring rule on a triangulated triangle guarantees a rainbow triangle and how that snapshot ties to Brouwer's fixed point theorem. From the 1D parity intuition to the 2D guarantee of a rainbow simplex, we see how coloring, topology, and computation intersect. Along the way we touch on fair division, Minsky's theorem, and the surprising complexity twist: finding a Sperner simplex is PPA-complete, so existence is guaranteed, but efficient search is another story.
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