Isothermic Surface

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What is an Isothermic Surface intuitively? There are a couple of definitions, but I really don't understand what it means if a surface is isothermic. What are ist properties, what is it used for?

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If you're still looking for the discrete Definition, it is essentially a map $f:Z^2 -> R^3$, s.t. the cross Ratio is -1, i.e. we have conformal squares, which are Möbius invariant.