This fractal's applet is just an extension of gingerbread's applet. It basically just replaces the formulas with these:

x_{n + 1} = y_{n} -
sgn(x_{n}) * sin(ln|b * x_{n} - c|) * atan(|c *
x_{n} - b|^{2})

y_{n + 1} = a -
x_{n}

y

In this fractal, a, b and c are constants which, by default are
initialised to 34, 1 and 5 respectively, although these can be
changed with `<param>` tags.