Minimum number of edges of polytopes with 2d + 2 vertices

Guillermo Pineda-Villavicencio, Julien Ugon, David Yost

We define an analogue of the cube and an analogue of the 5-wedge in higher dimensions, each with $2d+2$ vertices and $d^2+2d-3$ edges. We show that these two are the only minimiser…