Foam Cube Puzzle (#209)

After having solved the puz­zle shown below a few times by combining six foam pieces to construct a hollow cube, I wondered if it had a unique solution. A simple brute-force search reveals it does.
Source code: foam-cube-puz­zle.py

As a first step, I digitalized all pieces seen above. Having an internal rep­re­sent­ation, I wrote a script which tries all possible rotations and reflections (as three-di­men­sion­al rotations can imply two-di­men­sion­al re­flec­tion) to try and construct a three-di­men­sion­al cube from the given pieces. Using short-cir­cuit evaluation to not bother with already impossible solutions, the search space is narrow enough to not require any considerable com­put­ing time. The resulting unique solution modulo ro­ta­tion is shown above; the top face is placed on the bottom right.