Bidiakis cube Bidiakis cube In the mathematical field of graph theory, the Bidiakis cube is a 3-regular graph with 12 vertices and 18 edges. The Bidiakis cube is a cubic Hamiltonian graph and can be defined by the LCF notation [-6,4,-4]. The Bidiakis cube can also be constructed from a cube by adding edges across the top and bottom faces which connect the centres of opposite sides of the faces. The two additional edges need to be perpendicular to each other. With this construction, the Bidiakis cube is a polyhedral graph, and can be realized as a convex polyhedron. Therefore, by Steinitz's
Floppy Cube companies. The key difference between this puzzle and the Floppy Cube is that the Floppy Cube is restricted to only 180° rotations (i.e. an edge piece cannot be twisted 90°), while the Super Floppy Cube does allow edges to rotate 90°. This in turn allows the corner pieces to move to locations "above" and "below" the edge pieces and thus change the shape of the puzzle. There is also a subtle difference between the original version of the puzzle and the version mass-produced by other companies. The original puzzle has an internal mechanism which prevents an isolated edge piece from