I don’t get what you’re saying. Do you mean, you define a map f: R² → R by f(v) = abs(||v||) (and then you map this to the z-axis)?
“each sharing all its points of R² with one other”
I don’t know what this means; I think you’re saying each axis overlaps with the axis from its antipodal point.
Could you give an example of something that’s difficult to visualize, but it’s easier with this method?
I don’t get what you’re saying. Do you mean, you define a map f: R² → R by f(v) = abs(||v||) (and then you map this to the z-axis)?
“each sharing all its points of R² with one other”
I don’t know what this means; I think you’re saying each axis overlaps with the axis from its antipodal point.
Could you give an example of something that’s difficult to visualize, but it’s easier with this method?