Dada una superficie $$\frac{x^4}{a^4}+\frac{y^4}{b^4}+\frac{z^4}{c^4}=1$$how can I parametrize the surface using $ X(u,v). $
Intenté utilizar $$x=a\sqrt{\cos(\theta)\sin(\phi)}$$ $$y=b\sqrt{\cos(\theta)\sin(\phi)}$$ $$z=c\sqrt{\sin(\phi)}$$ but turns out it couldn't include all the points of the surface. Can some help me solve it? (The problem is that maybe we need to think about how to parametrize $x ^ 4 + y ^ 4 = 1? $)