Infinite 2 dimensional planes can ‘cut through’ a sphere but they’re shadows from other dimensions, not other dimensions themselves so long as they can be tied to a central null point somehow.
well wait… no i’m wrong. you can just do 0,0,0,0,0 and add more extra-dimensional nulls for as many dimensions as you need. lol i must be tired
yeah it’s late here and I’m tired. I was thinking “oh that’s just rotation not other dimensions” but if one is working in flatspace, yeah, it can work.
till, i like how people use hexagonal setups like this to map out multidimensional spaces. You can go infinitely in 3 dimensions on this so long as you remember your place [or use colored pens to mark each ‘higher’ dimension or use some kind of key]