Improved Upper Bounds for Slicing the Hypercube

Duncan Soiffer, Nathaniel Itty, Christopher D. Rosin +5

A collection of hyperplanes $\mathcal{H}$ slices all edges of the $n$-dimensional hypercube $Q_n$ with vertex set $\{-1,1{\}}^n$ if, for every edge $e$ in the hypercube, there exists…