Ciro Santilli Convex hull of all (Cartesian product power) D-tuples, e.g. in 3D:
( 1, 1, 1)
( 1, 1, -1)
( 1, -1, 1)
( 1, -1, -1)
(-1, 1, 1)
(-1, 1, -1)
(-1, -1, 1)
(-1, -1, -1)From this we see that there are vertices.
Two vertices are linked iff they differ by a single number. So each vertex has D neighbors.
The non-regular version of the hypercube.