Kronecker Sequences with Many Distances The three gap theorem states that for any \alpha\in\mathbb{R} and N\in\mathbb{N}, the number of different gaps between consecutive n\alpha (mod 1) for n\in {1,...,N} is at most 3. Biringer and Schmidt (2008) instead consider the distance from each point to its nearest neighbour, generalizing to higher dimensions. ...

"Kronecker Sequences with Many Distances" by Carl Dettmann. #ExperimentalMath #KissingNumber #KroneckerSequence #MathSky