What is an Isometric Surface? [closed]

The term Isometric Surface brings up surprisingly unrelated search results on google. So I thought I would ask here. What is an isometric surface? I do have an understanding of what it is, but I need to confirm it as it may be completely wrong. If in your answer, you could give a brief comparison between them and implicit surfaces as well as parametric surfaces (I have a guess that isometric and parametric surfaces are similar/same... but I may be completely wrong), that would be great.

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If Robert Israel is right (which is to say, if the sun comes up tomorrow), there's no such thing as an isometric surface, and the rest of the question is a fishing expedition, so I've voted to close, pending some effort on Samaursa's part to put this in better shape. –  Gerry Myerson May 20 '11 at 5:51
Are you sure rather you mean Isoperimetric surface? –  Arjang May 20 '11 at 5:57