Geometry:what is the opposite of a sphere?& what shape maximises surface area/volume?

[Vtile]

That horn thing is interesting, kind of what diracs delta is as function with area of 1, but value on infinity.

Similar paradox as this horn is ie. with complex infinities. There is ie. real part as constant, but its significance coverges to zero, while the complex part go to infity. Again don't reference me to your phd research.

The obvious answer for OP is cube.


PS. Give me gabriels horn and I will show how to paint it with finite amount of paint.. Easy just fill it with exactly the volume amount of paint and all the surface area is painted. Prove that I'm wrong.