Scherk's Fourth Surface (Branched, Singly Periodic)
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Weierstrass Data
\[ M=(\mathbb{C}\cup\{\infty\})\setminus\{1,-1,i,-i\}, \] \[ g=z,\qquad \eta = \frac{iz}{(z^2-1)^2(z^2+1)}dz. \] This surface is branched at $z=0$ and $z=\infty$.
