TITLE: 3D models of the unfoldings of the hypercube?
QUESTION [24 upvotes]: There are (apparently) 261 distinct unfoldings of the 4D hypercube, a.k.a., the
tesseract, into 3D.1
These unfoldings (or "nets") are analogous to the 11 unfoldings of
the 3D cube into the plane.2
Usually only one hypercube unfolding is illustrated,

         


         
(Image from this link.)

the one made famous in 
Salvador Dali's painting
Corpus Hypercubus.
My question is:

Q. Has anyone made models/images of the 261 unfoldings as solid objects in $\mathbb{R}^3$?

(If not, I might do so myself.)

1Peter Terney, "Unfolding the Tesseract."
Journal of Recreational Mathematics, Vol. 17(1), 1984-85.

2



Update. See also the followup question, "Which unfoldings of the hypercube tile 3-space: How to check for isometric space-fillers?."

REPLY [13 votes]: I used sage to make a 3d animation of all 261 unfoldings. 
Here is a screenshot of the first few:

The file cube-unfoldings.txt contains all the unfoldings, each line contains a list of 8 points.
Edit: By popular, I add the (poorly commented) code:
unfolding the hypercube.ipynb: a jupyter notebook with sage code to generate the pairings for the unfoldings together and find the embeddings.
To view the code easily, checkout the file at github
The animation on the website is made with threejs, and all the code is contained in the unfoldings.html, which you can also view on github.