JuliaSin Set

This animation displays an example of the Julia Set using a sine function. A brief introduction (along with a discussion of its relation to the Mandelbrot Set) can be found here.

The following formula is iterated, and if the value |z| exceeds 2, then it is assumed that is will go to infinity and does not belong to the set:
z_n+1=csin(z_n)

Where
z=x+iy
c=a+ib

The Filled-In Julia Set consists of those initial values of z in the complex plane which do not diverge to infinity. To obtain the behavior shown, parameter a is held steady at 1.0, and parameter b varies incrementally between 0.0 and 0.7.