I'm trying to model the Szilassi polyhedron. (Actually I'm trying to do something else but this is probably the simplest case I could find.)
The problem here is that we have to have multiple vertices within the planes of the faces, that should line up with other planes. A while ago I asked whether it is possible to slide a vertex within a face but did not find a satisfactory solution.
So how else would you go about modelling such a polyhedron?
The exact dimensions are not important at all, but the points that are within one plane should remain coplanar in the model.