Helicopter Cube a 6-member cycle, often referred to as its "orbit". Face center pieces in different orbits cannot be interchanged using only 180° twists. However, jumbling moves are able to permute face center pieces between different orbits, thus leaving the puzzle in a state that cannot be solved by 180° twists alone. Assume that Helicopter Cube is scrambled without jumbling moves (i.e. mixed with only 180 degree twists). Any permutation of the corners is possible, including odd permutations. Seven of the corners can be independently rotated, and the orientation of the eighth depends on the other seven, giving 8!×3 combinations. There are
Yoshimoto Cube cube can be dissected and reassembled into two stellated rhombic dodecahedra, each of which comprise half the volume of the original cube, making it a kind of three-dimensional dissection puzzle. Yoshimoto Cube The Yoshimoto Cube is a polyhedral mechanical puzzle toy invented in 1971 by , who discovered that two stellated rhombic dodecahedra could be pieced together into a cube when he was finding different ways he could split a cube equally in half. Yoshimoto first introduced his cube in 1972 at a solo exhibition entitled "From Cube to Space," and later developed three commercial versions. In 1982, Yoshimoto Cube