Pick two points uniformly at random inside a regular n-gon. For even n≥4, the probability that the line containing these points will pass through any pair of opposite edges of the polygon is:
8/(3n)
Pick two points uniformly at random inside a regular polyhedron with F faces. For even F, the probability that the line containing these points will pass through any pair of opposite faces of the polyhedron is:
3/F
Greg Egan
npub1qq…j5nhv
2025-08-25 11:56:55 UTC
Author Public Key
npub1qqm7nu2qf25xd3mw6y6cyp4v2wr7ktf43ymp5wqz4u8jvz76ymtsjj5nhvPublished at
2025-08-25 11:56:55 UTCEvent JSON
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