Your bottom right "view" of the cube needs to be rotated 90 degree clockwise, and your center-right view need a horizontal flip.
I have over 40 twisty puzzles and have solved up to an 8x8x8, so I know how they work, but your system is off enough that it doesn't actually represent a cube. It's definitely a cool idea and I'd like to try it again when it's fixed.
FYI, I post videos on how to solve the different cubes in my collection. I'm still working on this series, so I have only a few posted.