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Scherk's Third Surface (Branched)

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1

Weierstrass Data

M=(C{}){1,1}, g=z,η=z(z21)3dz. This surface is branched at z=0 and z=.

Remark

In the paper
H. F. Scherk,
Bemerkungen über die kleinste Fläche innerhalb gegebener Grenzen,
J. Reine Angew. Math. 13 (1835), 185--208,
There are typos about this surface.