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A solved Rubik's Revenge cube. The Rubik's Revenge (also known as the 4×4×4 Rubik's Cube) is a 4×4×4 version of the Rubik's Cube.It was released in 1981. Invented by Péter Sebestény, the cube was nearly called the Sebestény Cube until a somewhat last-minute decision changed the puzzle's name to attract fans of the original Rubik's Cube. [1]
The first is to count the number of quarter turns. The second is to count the number of outer-layer twists, called "face turns". A move to turn an outer layer two quarter (90°) turns in the same direction would be counted as two moves in the quarter turn metric (QTM), but as one turn in the face metric (FTM, or HTM "Half Turn Metric"). [1]
Anybody who can solve a size 4 cube should be able to solve cubes of larger size provided they accept an increased time-to-solve penalty. Software design features, unavailable in hardware cubes, can simplify the cube solving process. For a given set of cube design features the complexity (difficulty) of solving a Rubik’s family cube increases ...
Such a matrix can represent propagation through a layer if is the wave number in the medium and the thickness of the layer: For a system with layers, each layer has a transfer matrix , where increases towards higher values. The system transfer matrix is then
The solution line must cross over each "wall" exactly once, where "cross over" means to pass completely from one to the other of the two rooms that are separated by the "wall", or from a room to the area outside the drawing. This precludes "crossing" two walls at the same time by drawing the solution line through the corner at which they meet.
Layer-by-layer (LbL) deposition is a thin film fabrication technique. The films are formed by depositing alternating layers of complementary materials with wash steps in between. This can be accomplished by using various techniques such as immersion, spin, spray, electromagnetism, or fluidics. [1]
The Super Square One is a 4-layer version of the Square-1. Just like the Square-1, it can adopt non-cubic shapes as it is twisted. As of 2009, it is sold by Uwe Mèffert in his puzzle shop, Meffert's. It consists of 4 layers of 8 pieces, each surrounding a circular column which can be rotated along a perpendicular axis.
Euler diagram of requirements of some types of 4-by-4 magic squares. For each square, cells with the same colour (excluding grey) sum to the magic constant. Note *: The second requirement of most-perfect magic squares imply that any 2 cells that are 2 cells diagonally apart (including wraparound) sum to half the magic constant, hence any 2 such ...