It's good to see these videos. GuiltyBystander's backwards Rubik's Cube + Unicycle video is used as part of Rubik'sTube / YouCube
I was disappointed he didn't go into any more detail about any of the three subjects. For example he doesn't provide any reasoning for why twisting a corner or flipping and edge or swapping two pieces brings you to a new orbit.
There is another guy (KevinsMath
) that has a pretty good series of videos about the group theory and math behind the Rubik's Cube. It's an 8-part series, here is a link to the first:https://www.youtube.com/watch?v=Bnwig7qham8