Tetragonal expanded antitrapezohedron (EntityTopic, 3)
From Hi.gher. Space
This is the tetragonal expanded antitrapezohedron.
It is alternable. As shown above it is not a zonotope, but can be deformed into a zonotope with surplus facets (180 degree angles) with 5 generators, two pairs of them colinear.
I will write a better page for it later.
The trig/pentagonal expanded antitrapezohedra look similar, just with 3 or 5 vertical "slices" instead of the 4 here.