Enneper surface
= Enneper surface
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The <isothermal coordinates> $(u,v)$ give the <immersion> $(u-u^3/3+uv^2,v-v^3/3+u^2v,u^2-v^2)$. Its coordinate functions are harmonic and its metric is $(1+u^2+v^2)^2(du^2+dv^2)$, so it is a complete immersed <minimal surface> with self-intersections.