[math-fun] Oh, no, a one-piece baseball cover

Here we go again. www.tweedledum.com/rwg/baseball.png . The cusps are the endpoints of the cut (= the conical points on the translucent solid (= convex hull)). We should check it by cutting one out of a rag. For a unit radius sphere, the distance between the parallel sections of the cutout is 2 sin 4 pi/5 . The angle they span is sin(pi/10) pi (!), and the angle spanned by the elbows is sin(3*pi/10) pi. --rwg For your calculating pleasure: 12/5/(3-sqrt 5).