Layout of Jeremy Rayner's Crystal piece 4 has two detached joints joining all 3 layers, passing through layer 2.
BurrGUI xmpuzzle as processed by Aaron Siegel's enso:
burr_plate([
[".xx.x.|xxxxx.|xx.x..|.x.x..|xx.x..","......|.xxxxx|......|......|......",".xx.x.|xxxxx.|xx.x..|.x.x..|xx.x.."], // S04
] );
