12 May
2018
12 May
'18
5:09 p.m.
Let u, v, w, and x be the vectors from the center of a tetrahedron to the four vertices. Does the zonohedron formed by the fifteen vectors u, v, w, x, u+v, u+w, u+x, v+w, v+x, w+x, u+v+w, u+v+x, u+w+x, v+w+x, and u+v+w+x=0 have a name? Better, are there images of it on the web? Better still, are there gifs or videos that show it rotating in a way that brings its three-dimensionality to the fore? I ask because this seems like a nice way of looking at a hypercube (leaving aside the defect that two of the vertices of the hypercube coincide). Jim Propp