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

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