Re: [math-fun] Random nonempty intersection of cube and plane, revisited

I haven’t had time to follow this, but I’d think one could take advantage of the fact that there is a periodic tiling of space by the octahedron and tetrahedron. -Veit

On Aug 12, 2019, at 3:31 AM, James Propp <jamespropp@gmail.com> wrote:

Lionel Levine suggests trying the octahedron in hope of finding some interesting duality phenomenon (maybe random planes cutting an octahedron have something to do with random lines cutting a cube while random lines cutting an octahedron have something to do with random planes cutting a cube).

Can someone try this too?

Thanks,

Jim Propp