Pocket Cube court affirmed the judgment that Rubik's 2×2×2 Pocket Cube infringed Nichols's patent, but overturned the judgment on Rubik's 3×3×3 Cube. Any permutation of the eight corners is possible (8! positions), and seven of them can be independently rotated (3 positions). There is nothing identifying the orientation of the cube in space, reducing the positions by a factor of 24. This is because all 24 possible positions and orientations of the first corner are equivalent due to the lack of fixed centers. This factor does not appear when calculating the permutations of N×N×N cubes where N is odd, since those puzzles
Lövheim cube of emotion Lövheim cube of emotion Lövheim cube of emotion is a proposed theoretical model, aiming at explaining the relationship between the monoamine neurotransmitters and the emotions. The model was proposed in a paper of 2012 by Hugo Lövheim. In the model, the three monoamine neurotransmitters serotonin, dopamine and noradrenaline form the axes of a coordinate system, and the eight basic emotions, labeled according to the affect theory of Silvan Tomkins, are placed in the eight corners. The origin corresponds to a situation where all three signal substance are low. The eight corners of the cube correspond to the eight possible combinations