http://mathworld.wolfram.com/DuerersSolid.html , the model is a truncated
triangular trapezohedron
>
> I'm not convinced. I think it is a partially truncated cube but that the
> perspective of the drawing is imperfect.
>
> Melancholia I was after all engraved in 1514.
True, but Dürer's engraving skills are not otherwise lacking, and Archimedes
was truncating cubes seventeen centuries prior to Dürer. There is evidence that
Dürer had explored this shape in other drawings, as well. Interesting reading
here:
https://www.theguardian.com/science/alexs-adventures-in-numberland/2014/dec/03/durers-polyhedron-5-theories-that-explain-melencolias-crazy-cube
Scott