I'm not an expert, but think about linear algebra. you can write each dimension value in terms of time t(a) -> t(b) x = sin(t) y = 2cos(t) or whatever. if th

I'm not an expert, but think about linear algebra. you can write each dimension value in terms of time t(a) -> t(b) x = sin(t) y = 2cos(t) or whatever. if there is a symmetry, one of those equations should cancel out. another way to look at it is, if you can always get x, and know y "for free", or the other way around, then x and y aren't really independent. there's some other thing, like sqrt(t) that's generating both values.