6D Chess Idea

The chess variant functions normally to how 5D chess works
Chess as we know is 2D. Very rarely people discuss 3D chess. How did you jump to 6D and make it seem like 5D chess is the most normal thing in the world?

The chess variant functions normally to how 5D chess works
Chess as we know is 2D. Very rarely people discuss 3D chess. How did you jump to 6D and make it seem like 5D chess is the most normal thing in the world?
I mostly assume when people entered this post they would have a fundamental understanding of 5d chess (even if it's little) should I clarify how 5d chess works first?
Now I personally cannot code good enough to create this idea by myself and since there are millions of people out there, maybe one of you guys can code an example up.

Here how the idea go's:
The chess variant functions normally to how 5D chess works, but with this new axis i thought maybe the entire chess match CAN be moved into a alternate dimensions with different rulesets. (atomic chess, antichess etc.) now idk how we can make this fair cuz i dont want them to constantly change alternate dimensions
Here is a badly drawn picture of what i imagine (simplified cuz i aint adding the 5d chess mechanics into this picture)