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math.MG2020★ 3 cited
Space vectors forming rational angles
Kiran S. Kedlaya, Alexander Kolpakov, Bjorn Poonen +1
We classify all sets of nonzero vectors in such that the angle formed by each pair is a rational multiple of . The special case of four-element subsets lets us cl…
math.MG1995★ 1 cited
The Number of Intersection Points Made by the Diagonals of a Regular Polygon
Bjorn Poonen, Michael Rubinstein
We give a formula for the number of interior intersection points made by the diagonals of a regular -gon. The answer is a polynomial on each residue class modulo 2520. We also c…