Apparently, the Batman Equation first appeared at [H]ard|OCP – there’s a nice breakdown of it at the Geometry section of MathUnderflow – also, check out the equations at PasteBin.

If you’d like to graph the equations, here the are:

( (x/7)^2 sqrt(abs(abs(x)-3)/(abs(x)-3)) + (y/3)^2 sqrt(abs(y+ 3/7 sqrt(33))/(y+ 3/7 sqrt(33))) - 1 )
( abs(x/2)-(3 sqrt(33)-7) x^2/112 -3 +sqrt(1-(abs((abs(x)-2))-1)^2)-y)
(9 sqrt(abs((abs(x)-1)(abs(x)-.75))/((1-abs(x))(abs(x)-.75)))- 8 abs(x)-y)
(3 abs(x) + .75 sqrt(abs((abs(x)-.75)(abs(x)-.5))/((.75-abs(x))(abs(x)-.5)))-y)
(2.25 sqrt(abs((abs(x)-.5)(abs(x)-.5))/((.5-abs(x))(abs(x)-.5)))-y)
(6 sqrt(10)/7 + (1.5-.5 abs(x)) sqrt(abs(abs(x)-1)/(abs(x)-1)) - 6 sqrt(10)/14 sqrt(4-(abs(x)-1)^2) -y) =0

ard|OCP”]

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