Random 3D-printed T-tetracube found on my kitchen table.
Memory of our younger kid in a class, his teacher printed a few polyominos for each kid, as the kids had picked out.
Then the pieces into a plastic bag. The kids took them home, presented them to various friends and family as a timed test.
"How long does it take you to solve this puzzle?"
About 4 minutes into my try, I realized his chosen pieces had no solution that packed a 3 cube.
My son went back and requested another 3D print, this time of a solvable set of pieces.
Later, I asked our tabby cat, how a program could be written to solve the #puzzle.
"How would you do that, Mr. Tiger?"
Consider each piece to have a main cube, then place that into an empty cube of the target volume, then swing left-right-back-front-up-down while testing for collisions with other pieces and escapes from the target volume?
Beats me. I'm not a #programmer Nor is my #cat.
"These puzzle pieces are not food or prey. So why should I care about them?"