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
Gear Cube the inventor of the Pyraminx. Gear Cube The Gear Cube is a 3-D combination puzzle designed and created by Dutch puzzle maker Oskar van Deventer (based on an idea by Bram Cohen). It was initially produced by Shapeways in 2009 and known as "Caution Cube" due to the likeliness of getting fingers stuck between the gears while speedcubing. Later, in 2010, it was mass-produced by Meffert's as the "Gear Cube". Compared to the original Rubik's Cube, this cube uses a complete gear mechanism. It requires six 180° turns to complete one rotation resulting in a twisty puzzle. The design of