Of course we only count solutions reachable through standard 3x3x3 moves.
This means no solutions that violate parity or twist restrictions for the 3x3x3 group.
A first step to approach the problem we can try to figure out more about this Rubik's Cube variant.
Since we don't have to care...
The '8 Color Cube' is a Rubik's Cube variant with 8 different colors / numbers.
In its solved state all colors and numbers only represented once per face.
A virtual model of this cube can be found on this page:
A total of 21 additional solutions (apart from the initial state of the cube) have...
I have a database with more then 670 symmetric positions.
They might be useful to get one or maybe two plys deeper.
All these positions are generated in 39 or less moves (btm).
Currently only about 80 positions require more then 29 moves.
So this makes them all potential candidates for...