I had a guess from three years ago that I couldn't prove
It is impossible to find a polyhedron whose perimeter (represented by the sum of the lengths of its edges) is equal to its area (represented by the sum of the areas of its faces) and numerically equal to its volume
It is easy to find a similar shape with any shape such that two of these are equal to each other, but the question is whether all three are equal to each other.
All I have been able to prove is that this shape cannot be a Rectangular cuboid, I also proved that it is impossible for it to be a Platonic solid but I do not know if this would hold in the general case.
Here is a proof of the condition of the Rectangular cuboid by arabic language
