If we have an relation like this one:
$$r(x_1,y_1) = (x_1^2 - y_1^2, 2 x_1 y_1) = (x_2,y_2)$$
How can we plot it on a 4-dimensional space?
Where the axis are: $x_1,y_1,x_2,y_2$.
And the variables may vary from $[-10,10]$ for $x_1$ and $y_1$.
I'm looking to something like this animation here. Where we can see a hypercube on a 3D view but with an animation in the other dimensions. I'm aiming to use the
Animate function, with a dynamic parameter to create a visualization like this one that we can see in the hypercube on the link above.