🚀 go-pugleaf

Gary Allen's buckling-sphere argument seems convincing at first, but
can one really prove that a shpere is indeed the best geometry?  Gary
says, "The geometry that can best withstand compression is a sphere."
However, I suspect that this is only "locally" true for homgenous
materials, and the theorem does not apply to inhomogeneous - let
alone, fractile - materials.

For example, if you made a pressure-bearing container of solid
polystyrene, I don't doubt that the best you could do would be to form it into a sphere.  But wouldn't it be vastly more resistant to buckling if you
made it into a much thicker spherical shell composed of styrofoam?