One of those glorious problems that we inherited from the eminent Greek mathematicians is the seemingly easy duplication of the volume of the geometrical cube.
With a somewhat obscure origin, the duplication of the cube --called the Delian problem-- is about constructing a cube with twice the volume as another given cube. It seems easy at first glance, but through centuries and millennia, it turned out to be very difficult to solve.
The following infographic is about why it is sometimes impossible to geometrically construct any figure we imagine. There are some limitations, but the ancient mathematicians were unaware of it.
For the PDF version of this infographic follow this link.