Gear Cube Ending

[Celeritardum]

I just got a 3x3 gear cube and, after solving it a few times with an extremely time inefficient method I created, I decided to search for a tutorial on how to solve it. The tutorial I found by Games and Cubes showed solving corners and then edges and centers last, which makes sense because edges and centers have their own "slices" to move around. However I was surprised when the video showed that you can solve the rest with just 1 algorithm: R U R U R U. Does anybody know why this works or how it was found? Or why there always seems to be 4 centers misaligned on two opposite colors, and then 2 centers misaligned on the rest of the colors?

 

[bldcuber314]

Are you using the Gear Cube with only 3 types of pieces? Either way Gear Cube can be solved intuitively, but the 4-piece variant is a little harder.

 

[Celeritardum]

The cube in this video: https://www.youtube.com/watch?v=dmG5rGrs80E. (I'm pretty sure that it has 4 pieces)