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Re:The Batman Equation by burgerbrain on Saturday July 30, 2011 @03:09PM (#2826419)
If you consider outputs for equations other than Cartesian graphs, then Quines should get you what you want.

https://secure.wikimedia.org/wikipedia/en/wiki/Quines

Re:The Batman Equation by onions on Saturday July 30, 2011 @04:57PM (#2826737)
Yes, I think a "Cartesian" quine would be pretty tough to create, because you're going from a symbolic representation to an inefficient visual representation. Could a more efficient visual representation solve it? One approach might be to output a bitmap that looks like this:

gunzip(########)

where ######## is a bitmap representation of the raw input to gunzip.