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Interesting plot of an implicit equation with square root of signum functions

  1. Jul 29, 2011 #1

    recently, I have found so called Batman graph and equation, which basically plots Batman sign.

    I have even found Python code that plots this implicit equation.
    Code can be found here:

    And the equation is given here:

    If you look closelx, you'll see that there are a lot of signum functions and for many numbers that belongs to the graph, there is square root of negative number which is not defined in real number space.
    This is a warning sign that equation is not good.
    But somehow, if you use this equation it still plots OK.

    I cannot explained this. Can you help me understand this?

    Python plot just discard nonsence and doesn't plot (naturally) complex numbers.
  2. jcsd
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