The now-famous Spectre tile is zonohedral: every edge has a parallel copy halfway around the periphery. As usual with zonohedra, this means that the shape can be stretched along any (or several) of those zones. Of course, that will destroy the symmetry of the tiles.
Furthermore, in the Spectre tile the zones come in two triplets, with the members of each triplet separated by 120 degrees. This means we can preserve most of the symmetry by stretching a triple of zones by the same amount. What is lost is the congruent shape of the reversed tile.
