Shift Cube extends the concept of a 2x2x4 Rubik's Tower. Additional to functioning like a regular 2x2x4, there is also a shift move, which moves diagonally opposite sets of 8 cubies up and down. After the shift move, four cubies in the then middle layer can be turned as well. The puzzle is presented mid-shift, modded into a cubic shape.
Please order a 3D-printed do-it-yourself puzzle kit from Shapeways at this page (check with Oskar about screws and stickers), or contact Oskar directly if you are interested in obtaining a fully colored, stickered and assembled sample of this puzzle.