Riemann's minimal surface (singly periodic)

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$\lambda =0.2$.

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$\lambda =1$.

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$\lambda =5$.

Weierstrass Data

\[ \overline{M}=\big\{(z,w)\in(\mathbb{C}\cup\{\infty\})^2\;;\;w^2=z(z-\lambda)(z+1/\lambda)\big\}, \] where $\lambda$ is a positive real constant. \[ M=\overline{M}\setminus\{(0,0),\,(\infty,\infty)\}, \] \[ g=z,\qquad \eta = \frac{dz}{zw}. \]