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#How to buy cube world 2015 movie
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How to put this to use to solve the cube in five seconds? Someone like young Lucas Etta who is interested in speed solutions will not only have memorised a large number of tools, they'll also have practised them until they can perform it very quickly. The mathematical result in Rokicki and Davidson's paper shows that, no matter where you are in the labyrinth, it's possible to reach the winning chamber by passing through at most 26 doors – although the route you find using your tools is not likely to be that efficient. So you don't need to plan your route in advance, you just execute the rotations of each tool so that you get steadily closer to and finally reach the winning chamber. The tools that you have discovered are ways of getting nearer to the goal. Your job is to navigate your way from a particular chamber to the one where the cube on the table is in perfect condition. The type of turn needed to pass through each door is written above it, so you know which door is which. From each chamber there are 12 doors leading to other chambers, each door corresponding to a quarter turn of one of the six faces of a cube. Think of the overall structure of the different configurations of a Rubik's cube as a labyrinth, which has that many chambers, each of which contains a Rubik's cube in the state which corresponds to that chamber. Using the screwdriver as a lever to gently prise it out, it's then easy to take the cube apart completely and reassemble it in pristine form. Turn one face through 45 degrees, and place the screwdriver under a central piece of the rotated face.
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Now you have a choice, either buy another Rubik's cube, or take out your trusty screwdriver. The trouble is that most experiments just scramble the cube horribly and you forget what you did so you cannot undo your moves. Here's how I did it myself: go on holiday with a Rubik's cube and a screwdriver. These tools require experimentation to discover. When you have discovered and memorised enough tools, you can execute them one after the other in order as required to return the cube to its pristine, solved condition.
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In this sense, a tool is a short sequence of turns which results in only a few of the individual squares on the cube's faces changing position. If you want to work out how to do it yourself, you need to develop cube-solving tools.
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So how do the likes of Lucas Etter work out how to solve Rubik's cube so quickly? They could read instructions, but that rather spoils the fun. It took 30 years to discover these numbers, which were finally proved by Tomas Rokicki and Morley Davidson using a mixture of mathematics and computer calculation. The maximum number of face turns needed to solve the classic Rubik's cube, one that is segmented into squares laid out 3x3 on each face, is 20, and the maximum number of quarter turns is 26.