These tesseract views are all of the perspective projection-type, with the first one, above, being done in cell-first fashion.
The next one is projected edge-first.
The third one is projected vertex-first.
Although all of these are rotating in the same direction in hyperspace, the different projection-choices make the second and fourth images appear to be rotating in different directions. Why? I’m still trying to figure that out!
These animations were created with Stella 4d, software available at www.software3d.com/Stella.php.