This is IMHO very different from usual "impossible figure" drawings where there is no interpretation that makes it work.
This is IMHO very different from usual "impossible figure" drawings where there is no interpretation that makes it work.
In particular with you observation that this is a different class of "impossible figures."
Though I can also understand the counter-argument, that one can also construct objects which from a privileged perspective also "technically" are possible solutions for such figures.
I believe the (compelling) counter-counter-argument is that such solutions are AFAIK unique to privileged perspectives, but in this case, there is a whole set of such perspectives. You can rotate the thing through quite a range and still assert you're looking at an impossible pyramid.
Adding a single edge to defeat the premise that it's a "pyramid" is I suspect a formalizable distinction which reduces the impossibility (as others have said) to whether you want to hinge all on the word "pyramid."