Spacey, -- In terms of space, it clearly is 2d screen simulating 3d (since 3 is the lowest number of dimensions necessary to describe each point on the sphere). I am using "6d" in an abstract way -- you need to account for repercussions of each rotation around 6 axes. This is very similar to 3 axes of the Rubik's cube rotations. I am not starting a fight with established science -- just an amusing food for thought... If we allow dimensions to intersect each other at 72 degrees rather than 90 this little game is a playground for such deviation.
Of course, even in a real-world, Einstein showed that gravity disturbs this 90-degree requirement. Massive objects warp 3 dimensions so that the warped space no longer has dimensions intersecting each other at 90 degrees. It is observable in nature:
https://www.extremetech.com/extreme...ional-lens-to-look-back-at-the-early-universe
The same thing happens when we project a two-dimensional plane on a sphere or other uneven surface: the Euclidian restrictions are removed...
https://en.wikipedia.org/wiki/Non-Euclidean_geometry