Comment Toilets? (Score 2) 298
I remember the Moties in The Mote in God's Eye building a "toilet" that never needed cleaning.
If you cut a body by a plane through its center of gravity you _do not_ necessarily have equal volumes on either side of the plane.
He didn't say you have equal volumes. He said you have equal masses.
Cutting a body through it's center of mass doesn't still doesn't necessarily leave equal masses on either side of the (hyper-)plane. The center of mass lets you ignore the distribution of mass as a function of position (density) for certain types of problems. This is not one of them. What you are saying is still trivial, still wrong, and still not the ham sandwich theorem.
The optimum committee has no members. -- Norman Augustine