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Instant Insanity

We have a set of four very innocent-looking cubes - each face coloured red, blue, green or white - and they have to be arranged in a row so that all of the four colours appear on each of the four long sides of the resulting cuboid.

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Cubic Net

This is an interactive net of a Rubik's cube. Twists of the 3D cube become mixes of the squares on the 2D net. Have a play and see how many scrambles you can undo!

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Air Nets

Can you visualise whether these nets fold up into 3D shapes? Watch the videos each time to see if you were correct.

Solving the Net

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3
Although there are many algorithms for operating on a Rubik's cube, there is no one 'method of solution'. Making a face and the first layer is generally considered straight forward and can be done directly by inspecting the configuration of the cube (and, hence, the net)

Completing the second layer is more difficult and is best broken down into routines which flip individual squares on the cube.

A common way to proceed is to note that there are series of operations which permute a subset of the middle edges, leaving the other middle edges in the same place. By using combinations and variations of these operations in turn it is possible to create a net with all of the middle edges in place. The next step is to realise that there are series of operations which permute the corners of the net only, leaving all of the middle edges in place. By using combinations and variations of these operations on the net with all of the middle edges in place, it is possible to finish off the net in its entirety.