A simple trick to design your own solutions for Rubik's cubes

This 15 minute video is a pretty accessible explanation of a technique for solving Rubik's-type puzzles: A simple trick to design your own solutions for Rubik's cubes [1] [1] this video

Mathologer has a nice video explaining how to solve a cube, and they are really using group theory :), this video . The key take away is that all you need to do is find a few basic operations (swapping an edge/corner/center) that leaves the rest of the cube unchanged, and then your job is basically done, you apply these until you have a solved cube. This might approach might not give you the optimal algorithm, which has been shown to be able to solve any Rubik's Cube in 20 turns or less [0]. [0] link

It's a huge leap to get past the first layer. Your curt rate of progress suggests that your strategy will not solve the cube in your lifetime. And it's almost impossible to do it without taking notes on paper or computer. (If that were doable, their wouldn't be so many walkthroughs). Solving the cube is a hard applied group theory "homework" problem. This video explains the principles of solving a Rubik's cube on your own. this video