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Jan 25, 2012 at 17:41 comment added Ian Agol This appears to be Theorem 26.1 in the book by Richter-Gebert (the reference pointed out by jc). For angles other than 90 degrees, he points out that the curve is quartic. dl.dropbox.com/u/8592391/Ch26RichterGebert.pdf
Jan 25, 2012 at 4:34 history answered Ian Agol CC BY-SA 3.0