The Fractured Cube puzzle is based on the geometry of the tetrakis hexahedron. The eight six-sided vertices of the shape have been made into the rotational axes of the puzzle. Fractured Cube is a jumbling, but non-shape-shifting puzzle, in a similar manner to my QuadStar, Fracture-10 and Fracture-6 puzzles. Each axis can turn in increments of 60 degrees, but axes become blocked if edge pieces are flipped in the wrong direction.
The Fractured Cube puzzle comes as a DIY kit of parts, and you will need to supply your own stickers. The templates for the stickers are available in the instructions forum.
I recommend that unless you are familiar with the process of dyeing these parts, you purchase the puzzle in "Black Strong & Flexible". It costs a bit more than the white material, but it's worth it since the finished puzzle will look and work better. Fractured Cube also requires screws and springs to assemble. These can be purchased through a few different online puzzle sellers. The springs I used came from this shop. You'll need eight of the springs, combined with eight 12mm M3 screws, which you'll need to purchase separately.