[thaumasiotes]

> I only see the drawing of a solid and a statement that it's impossible for such solid to exist.

> It's an interesting math problem, that exists on the contexts of its definitions (like any other). But given that the definitions aren't stated, it's not reasonable to expected people to come aware of them.

You know, we aren't supposed to accuse people of not reading the article.

But this is what the article says:

> The drawing appears to represent a polyhedron with two triangular faces and three quadrilateral faces. The triangular faces are ABC and DEF. The quadrilateral faces are ABED, BCFE, and CADF. It also appears that AD and BE intersect at I, AD and CF intersect at G, and BE and CF intersect at H. If we accept this interpretation of the drawing, then the shape that it represents is impossible.

It would be difficult to be more explicit about the definitions.