18
$\begingroup$

I have recently discovered that I can create letters and any shape I want by hiding parts of curves by making them complex. To generalise if I want $x>a$ then I multiply my function by $\sqrt{\frac{|x-a|}{x-a}\,}$ and replacing $x-a$ with $b-x$ I can make $x.

The challenge I put forward is this:

Create an equation or set of equations, which graph the equations themselves

Is this possible?

  • 8
    The empty set. :)2012-12-17
  • 0
    You could say the same for a computer program quine. An empty program will print itself out ie nothing. Clever thinking though2012-12-17
  • 0
    You'd pretty much have to give a complete language for curves and fonts before you could answer this question. I suppose there might be a general proof that there is always a quine, no matter what the font definitions and descriptive language...2012-12-17
  • 0
    @Jordan: My answer was an homage to that one. (that was actually the submission to the obfuscated C contest that put an end to that aspect of the competition)2012-12-17
  • 20
    You might be interested in [Tupper's self-referential formula](http://en.wikipedia.org/wiki/Tupper%27s_self-referential_formula)2012-12-17
  • 0
    @JordanBrown judging by the looks of the screengrab, you're using the application that comes with os x? have you looked at the examples drop down menu? i think using parametric equations might be a bit simpler (some people might call this cheating)2013-06-20

1 Answers 1