Its solution requires much of the same algorithms of the 3x3x3 cube with a few extra ones thrown in at later stages. The difference here is that you are aiming for a white star instead. Note the inclusion of left, down and back sides contained within the FRU notation as we will be using these moving forward. Build a white star on top by filling in the gaps between the white and side centers with the matching colors. Now, we move onto the second layer.
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It has a total of 50 separate pieces. The bigger dodecahedrons are called Gigaminx, Teraminx, Petaminx, Zettaminx, all the way up to the record-breaking Yottaminx image below. There are a few steps where you might get stuck but the algorithms below will help you go through the difficulties. Each letter means a clockwise rotation of the face, while apostrophes mark the anticlockwise turns. Fill the gaps between the white and side centers with the matching colors.
Second layer Turn the cube with the solved face down and use the same F2L algorithms that you already know from the 3x3 to solve the next set of edges. Third layer edges and corners This is the first step where you might need a little help, even if you know the 3x3 solution. Use the same method that you used for solving the white corners. The algorithm is the same with a small tweak: instead of making U2 we have to make U3 in the clockwise algorithm.
We can cycle three edges on the front face of the Megaminx in the desired direction with the algorithms below. The two algorithms are the inverse of each other. Cycle corners Positioning the last layer corners is the penultimate step before completing the puzzle.
There are two algorithms that cycle the corners as shown on the image below.
Solving the Megaminx (Faster and Simpler)
How to Solve a Megaminx
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