Scherk's First Surface (Doubly Periodic)
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$\theta=\pi/4$
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$\theta=\pi/10$
Weierstrass Data
\[ M=(\mathbb{C}\cup\{\infty\})\setminus\{e^{i\theta},e^{-i\theta},-e^{i\theta},-e^{-i\theta}\}, \] \[ g=z,\qquad \eta = \frac{i dz}{z^4-2\cos (2\theta)z^2+1}, \] where $\theta \in (0,\pi/2)$ is a constant.
