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4 votes
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Secondary polytope

As pointed out by Sam Hopkins in a comment above, secondary polytopes can be seen as a particular case of the fiber polytopes of Billera and Sturmfels (https://doi.org/10.2307/2946575). This fiber pol …
Francisco Santos's user avatar
4 votes

Digital topology, animal problem, 2-sphere and torus

Now that I think of it, my answer was wrong. I was just reproducing examples mentioned by the question poser (Bing's, as seen in Ziegler's book). These examples cannot be reduced keeping the boundary …
Francisco Santos's user avatar
5 votes

Which (semi)regular polyhedra are combinations of two others?

I think the whole list of Gjiergji (and lightly more, see below) follows from Wythoffian operations. For the cube-octahedron family, for example, consider the following diagram: The polyhedron along a …
Francisco Santos's user avatar