I enjoyed reading this but I'm not sure I understand what you find important. When I stated potential, this is what I feel is important with the discussion to solve the problem.
Also a 3D circle, I was bluntly referring to a sphere.
Lets say we are given a spherical mirror, that reflects light in a way that corresponds to the attributes of reflection upon a sphere. Roughly speaking, the orange follows the same potential, light's angularity when reflected is matched to that of a sphere, thus we know it is a sphere, it's potential is the same of that. We know that it can't be a cube because the potential is inconsistent with that of a cube, light is not reflecting like it would if it were a cube. If we were even to say that an orange can be a circle and a square at the same time then their potentials must be both construing together equally and at 100 %, but then we would have 200 % and that is impossible.
However, splitting up the perceptions of the orange allows us to do so. We could say that an orange behaves like a sphere while reflecting light, but perhaps another perception would gives it the potential of a cube ( can't think of any off hand though).
So while the orange can't potentially be cubic and spherical at the same time while sought at the same perception for its correlating potential in reality it doesn't change, so it can be two things at once, which I think is simply absurd.... but thats my conclusion so far. Split the perceptions and it becomes more than one thing.
I believe this has important implications to the wave particle duality theory. At such a quantum scale it is hard to determine the actuality of something so we rely on it's potential to find it's corresponding physical attributes.
So what becomes of the actuality of the orange? It doesn't matter, it's actuality is that of its potential, humanity harnesses potential as that is what causes actuality to coexist with reality.
Who cares to try and prove whether an orange can be a circle inside of a sqaure, or a square inside of a circle. Technically, when it comes to the inside of the orange you are loosing the perception of its entirety so it becomes an impossibility for the entirety to be that of a circle and a square at the same time.