When I was very new to square-1, I planned to learn to optimally solve all of the possible cube-shape cases. It turns out, however, that the kite/scallop method works just as well as the optimal solution in many cases, and is very easy to learn, so I abandoned my quest to learn the optimal solutions. However, before I had abandoned it, I had started to compile a list of all of the square-1 cubeshape algorithms that is 99.9% obsolete now. The list, however, remains. This is that list.
If you don't know how to solve a Square-1 then this page is not for you. You can learn how to solve one here. If you do know how to solve a Square-1, this page is for getting the puzzle into the cube shape. You can do this intuitively, but some cases are very hard to solve and take a long time without using algorithms. Here you can pick and choose which cases are hard for you to solve intuitively and learn the algorithm for it. Or you can learn them all and be super fast.
Now for the algorithms. The pictures below each represent the case on the bottom. Click on them to go to a page with the algs for the each possible cube shape on top. You'll have to figure out the AUF yourself until I do it for you.
If you don't know how to solve a Square-1 then this page is not for you. You can learn how to solve one here. If you do know how to solve a Square-1, this page is for getting the puzzle into the cube shape. You can do this intuitively, but some cases are very hard to solve and take a long time without using algorithms. Here you can pick and choose which cases are hard for you to solve intuitively and learn the algorithm for it. Or you can learn them all and be super fast.
Here is a list of all the possible shapes and their respective names.
Thanks to Lars Vandenbergh for letting me use his Square-1 images.
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Now for the algorithms. The pictures below each represent the case on the bottom. Click on them to go to a page with the algs for the each possible cube shape on top. You'll have to figure out the AUF yourself until I do it for you.



