Unfolding the Mysteries of Polygonal Billiards

In Disney’s 1959 film Donald in Mathmagic Land, Donald Duck, inspired by the narrator’s descriptions of the geometry of billiards, energetically strikes the cue ball, sending it ricocheting around the table before it finally hits the intended balls. Donald asks, “How do you like that for mathematics?” Because rectangular billiard tables have four walls meeting at right angles...

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