4-piece RD Puzzle

This puzzle seems to work better in plastic than wood. Wood versions tend to be very tight, I have broken several wood copies trying to get them apart. The basic puzzle was invented by Stuart Gee in 2005. Four identical pieces assemble into a rhombic dodecahedron (RD).

Assembly is quite difficult! Be warned. I posted a video of the assembly for those who are stuck. https://www.youtube.com/watch?v=VJpAzNO1oEw

You can make the basic puzzle plus five variations. There are three types of pieces: B (basic), A (alternate) and M (mirror alternate).

Basic puzzle (De Doe Dak Ka) 4xB (4 copies of piece B)
Variation 1: 4xA
Variation 2: 2xB + 2xA
Variation 3: 2xA + 2xM
Variation 4: 1xB + 3xM
Variation 5: 1xB + 2xA + 1xM (hardest)

Most variations require coordinate motion to disassemble (or assemble), but some do not. Variation 1 comes apart into two identical halves. Variation 3 has two solutions, one comes apart into identical halves, the other via interesting "loose" co