Rhomb puzzle

This is a rhombic 3x3x3 cube-assembly puzzle that is pretty fun. The pieces are different from SOMA, and the rhombic squishing adds more constraints, so I believe there is only one way to assemble it (though six different orientations of the assembled cube). It's a clone of a plastic puzzle that has been in our family for decades. The puzzle was chewed at some point by a puppy, and was neither fully usable nor pretty -- but we kept it around nonetheless.

Recently I learned to use TinkerCAD and cloned the puzzle as an exercise in design. TinkerCAD was an interesting challenge because it required oblique rotation to assemble the rhombic building-block. Some analytic geometry was required to calculate how to twist the built-in block object sideways so that squishing would yield the correct dihedral skew. The angles aren't perfect because I couldn't figure how to rotate an object by a fraction of a degree -- but it is at least as good as the original molded puzzle, and fits toget