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For more examples or to see this in action please set the scramble length to 1 for a 11x11x11 cube and do some scrambles. Since the release of the original Rubik’s Cube, people have been striving to create new and harder twisty puzzles.

On even layered cubes, these parities are noticeable during the OLL and PLL stages, hence the names OLL parity and PLL parity. There is no way of knowing on a 4x4 (or any even layered cube) if you’ve solved the centres correctly in relation to the core mechanism. As long as the centre bars are kept horizontal and aren’t rotated (an example of this would be if you did an R2 on the cube shown, the blue and green centre bars would be swapped, disturbing the centres), they will be easily restorable upon completion of the first 8 edges. If you’ve built the green centre and you’re moving on to the centre adjacent to its left, just look at the defined centre and build that colour using bars.

The final step is arguably the simplest one if you know how to solve a normal 3x3 (which most people do, as these larger puzzles tend to be attempted by those who have already learnt how to solve the original Rubik’s Cube). You will notice sometimes that you’re left with PLL parity at the end of some solves (two edges seem to have swapped places with no other affected pieces). For 4x4, we used Uw and Uw’ moves to build edges, whereas with 5x5 and above we need to do multiple slice moves to pair up the multiple pieces that constitute the edges. PLL Parity becomes noticeable at the PLL stage due to the permutation of the top four edges upon completion of the orientation of the last layer.

If you have an OLL case with either one or three edges oriented correctly, then you have parity (odd number of edges oriented = odd number flipped, an impossible position on a standard Rubik’s Cube). Opposite centres – Solve the centres of two opposite faces by matching up all of the centre pieces of that colour. The last four edges are mostly intuitive for bigger cubes, just try and use logic and what you already know about edge pairing and the flipping algorithm to learn some of the most common cases and how to recognise and solve them quickly and efficiently. If you know all of the PLL algorithms then noticing PLL parity will be easy for you – if the permutation of the pieces does not match a PLL algorithm that you already know, then you know you have parity. Orient: On official WCA competitions cube puzzles and Megaminx are scrambled with the white face on top and the green face on the front.The original puzzle has been expanded outwards to create bigger and more challenging alternatives: the 4x4, 5x5, 6x6 and 7x7.