You can argue by symmetry that if the central sphere touches one of the corner s...

		nealabq on Jan 17, 2022 \| parent \| context \| favorite \| on: A high-dimensional sphere spilling out of a high-d... You can argue by symmetry that if the central sphere touches one of the corner spheres, it must touch them all. And it must touch one because otherwise you would increase it's radius until it did.