Algorithm to fold a cube?

 Algorithm to fold a cube?

I would like to share with you the following video Building unimaginable shapes to me has left impressed by the results that are obtained, the question I have is, there are tools in Mathematica to do what is explained in the video? I mean essentially fold a cube.

If anyone knows how to fold a cube,I mean some algorithm, would be great, since I do not know how to do it. Later I plan to do tests to find images that are not “the geometric equivalent of noise”, according to the author’s words.
Thank you in advance for your help

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