We believe that the "there must exist a single-angle polyhedron for any angle θ with an algebraic sine" conjecture is true but don't have a nice proof. There seem to be all the required .. show full overview
We believe that the "there must exist a single-angle polyhedron for any angle θ with an algebraic sine" conjecture is true but don't have a nice proof. There seem to be all the required parts for the proof in papers by Sydler and Jessen, but it's not fully assembled.
2024x15 The first known maths author (and the most recent) Episode overview
With a trusted 3rd party, running Secret Santa is easy: The 3rd party labels each person 1,…,n, and then randomly chooses a derangement from among all possible derangements of n numbers. .. show full overview
With a trusted 3rd party, running Secret Santa is easy: The 3rd party labels each person 1,…,n, and then randomly chooses a derangement from among all possible derangements of n numbers. Person i will then give a gift to the number in position i of the derangement. The trusted 3rd party is responsible for keeping the derangement secure, and for telling each person whom to give a gift to.
The question is: Is there an algorithm that would allow Secret Santa to be played without a trusted 3rd party?
