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Catalan's Surface

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u
12.56
v
2.
θ
0.
view
color
This minimal surface was first studied by Eugène Charles Catalan in 1855. Catalan's surface has a cycloid as a geodesic and repeats infinitely often at every
2nπ
, where
n
is an integer [1]. Another property is that its parametrization is isothermal. The angle
θ
reveals its associate surface [2].
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