Counterintuitive patterns on angles and distances between lattice points in high dimensional hypercubes

Jack Anderson, Cristian Cobeli, Alexandru Zaharescu

Let $\mathcal{S}$ be a finite set of integer points in ${\mathbb{R}}^d$, which we assume has many symmetries, and let $P\in {\mathbb{R}}^d$ be a fixed point. We calculate the distances…