The first of these used the center of a square as the center of rotation. This one, by contrast, uses an intersection as the center of rotation. In each case, 45 degrees is the angle used.
I can’t think of any good reasons for geometricans not to have their own space station, and I know what we’d do there: we’d work on geometry (also known informally as “playing with shapes”).
My suggestion for this space station’s design was created with Stella 4d, and you may find that program (to try or guy) here: http://www.software3d.com/Stella.php.