Looking to describe in 4-dimensional hypercube. I have located this parametric equation via wiki:
I am failing to translate this into something useful for me. I have attempted to define is functions of x, y, z, and w. So far I am here:
let a = theta
let b = phi
x (u,v) = t*s*cos(a)*cos(b)
y (u,v) = t*s*cos(a)*sin(b)
z (u,v) = t*s*sin(a)
w (u,v) = t
Do I need the point of the cone (singularity) to be at (0,0,0,0) ? I am hoping to implement this with rhino/grasshopper/python. Any help is greatly appreciated.
The implicit equation is:
x^2 + y^2 + z^2 -w^2 = 0
