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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 unpack the curious link behind sequence A000361: a self-replicating, holey tiling on the Mandelvyn triangle that nonetheless has positive Lebesgue measure. The story weaves a four-reptile tiling, inspired by Paul Lévy’s two-reptile, with counting of filled equilateral triangles along lines on the Mandelvyn triangle. It shows how infinite self-similarity can coexist with nonzero area, connecting number theory to geometric measure theory, and invites reflection on positive-measure fractals and the foundations of measure.
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