Pseudo Tricubes

This is the set of three cubes each connected by faces or edges. With this set you can rather easily make a 3x3x3 cube, but it's a little bit harder to solve this than to solve the SOMA cube.
To allow for the connections between edges the edges are chamferinged.
The size of the grid structure is 15mm and the faces have an inset of 0.25mm.