This is a parallel resistor formula fractal that uses sin and cos instead of powers of z. This fractal has lots of curious things going on. There are these white butterfly objects that increase in complexity from left to right. There are spirals everywhere but each one is very different (except for the x axis symmetry). There is a hazy white area across the center that is too complex to see. Here is a link to an image:

The parameter file is:

Loopy_Loops { ; Exported from Fracton.

 reset=2004 type=formula formulafile=fracton.frm

 formulaname=F_20111127_0903 passes=1 float=y

 center-mag=-7.449999999999999/-0.03749999999999987\

 /0.666666675/1/0/0

 params=-1/1/0/0/-2/0/2/0/0/0 maxiter=4000

 inside=0 periodicity=6

 colors=000zzzpzzezzWzzLzzBzz0zz0tt0mm0ff0__0TT0MM0\

 FF0880BE0FL0JS0NZ0Re0Vl0Zs0bz6dzDgzKizRlzYozdqzktz\

 rwzlrzelzZgzSazLWzERz7Lz0Fy0Es0Cl0Be09Z07T06M04F02\

 812E22L32S41Z51e61l71s80zE6zKDzQKzWRzaYzgdzmkzsrzp\

 lzmezjZzfSycLy`EyY7yU0xR0rO0kL0eH0ZE0SB0M80F408A0E\

 G0LM0RS0YY0dc0ji0qp0xq6xrDxsKxtRxuYxvdxwkxxryxlwxe\

 uxZsxSqxLoxEmx7kw0hp0ch0Ya0TU0NN0HF0C806806E08L0AR\

 0CY0Ec0Gj0Ip0Kw0Mw7RwFWxN`xVexbjyjoyrtyrtylmyefxZ_\

 xSTxLMwEFw78v00o00h00`00U00N00F00800800E20K50R70XA\

 0bC0iF0oH0vK0vP7wUFw_NxdVxibyojytrytryslxqexoZwmSw\

 kLviEvg7ue0n`0gW0`R0TL0MG0FB0860860DC0JJ0OP0UW0Za0\

 dh0in0ou0pu7qvFsvNtwVuxbwxjxyrxyruylqxemxZiwSevLav\

 EYu7Ut0Rm0Nf0J_0FT0CM08F04804804E05K05Q06W06a07g07\

 m08s0Es7LtFSuNZvVewblxjsyrsyrlymexhZwbSvYLvTEuN7tI\

 0sC0lB0e90Z80S60L50E30720720D50J90PD0VH0`L0fP0lT0r\

 X7s_FtcNugVvkbwnjxrryvryv }

frm:F_20111127_0903 {

; Similar to the parallel resistance formula

a=real(p1),b=real(p2),d=imag(p1),f=imag(p2),

z=0,c1=pixel-p3,c2=pixel-p4:

z=1/(1/(a*cos(z^3)+c1)+1/(d*sin(z)+c2)),

|z|<1000

}