So I searched for a simple method that wouldn't take too much memorisation. I found a web page (which I since lost track of) that listed some rules for solving the cube in about 7 stages and it had only one algorithm to memorise for each stage. This method is nothing new and I don't take any credit for it. I've since found that the method is also described at rubiks.com.
The method builds up the cube layer by layer and does the final layer in two distinct stages. In the first stage the final face is put in place without worrying about the final positioning of each cube. That means that if you looked at the final layer from the top, it would look like it was done but its edges would be all over the place. The final stage involves keeping the colour of the face correct but moving the cubes around to put the edges and corners into the right places and thus finish the cube.
The web page I originally found didn't have any information about how to apply the algorithm at each stage; it just had some pictures that said "follow the steps and match the picture". Without any guidance I found it quite hard to solve the cube consistently.
So I investigated what each algorithm does and came up with the following instructions for solving the 3x3x3 cube. The little diagrams I use to describe the moves depict a side-on view of the front side of the cube and might take some getting used to. The cube pictures show the view from the top of the cube with the bottom of the picture representing the front side of the cube. The only exception is in step 3 which shows a side-on view of the front of the cube.
There are no instructions included for solving the first layer but it's not too hard to work it out.
So, no new information here but I had fun making this guide. Maybe it will be useful to someone.
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