Bidiakis cube theorem, it is a 3-vertex-connected simple planar graph. The Bidiakis cube is not a vertex-transitive graph and its full automorphism group is isomorphic to the dihedral group of order 8, the group of symmetries of a square, including both rotations and reflections. The characteristic polynomial of the Bidiakis cube is formula_1. 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
Floppy Cube (20), the Rubik's Domino (18) and, to some extent, the Pocket Cube (11). The table also shows that there is only one combination that is exactly 8 moves away from the solved state; this is the combination in which all the corners are in their correct places but all the edges are flipped, analogous to the "superflip" on the Rubik's Cube, which requires 20 moves to solve. The Super Floppy Cube (often shortened to "Super Floppy") is a common variant of the Floppy Cube. It was also invented by Katsuhiko Okamoto but several versions have also been produced by other