This fractal is a cosine based parallel resistor formula with a z^3 minimum z term. It has 3 way symmetry and a lot of thin filaments that look kind of like bubbles.

Here is a link to an image:

The Fractint compatible PAR file for the image is:

Bubble_Links { ; Exported from Fracton.

 reset=2004 type=formula formulafile=fracton.frm

 formulaname=F_20140217_1620 passes=1 float=y

 center-mag=-0.7027677552871285/0/1520405.599721868\

 /1/0/0

 params=-1/1/0/4/-1.5/0/1.5/0/0/0 maxiter=2000

 inside=0 periodicity=6

 colors=0BE0NZ0ZsDgzYozlrzSaz7Lz0Cl07T0BE0NZ0ZsDgzY\

 ozlrzSaz7Lz0Cl07TA0ES0Yi0qrDxuYxxlwxSqx7kh0YN0H0BE\

 0NZ0ZsDgzYozlrzSaz7Lz0Cl07TA0ES0Yi0qrDxuYxxlwxSqx7\

 kh0YN0H0BE0NZ0ZsDgzYozlrzSaz7Lz0Cl07TA0ES0Yi0qrDxu\

 YxxlwxSqx7kh0YN0H0BE0JS0Vl6dzRlzktzelzLWz0Fy0Be06M\

 A0ES0Yi0qrDxuYxxlwxSqx7kh0YN0H0BE0JS0Vl6dzRlzktzel\

 zLWz0Fy0Be06M0BE0JS0Vl6dzRlzktzelzLWz0Fy0Be06M0BE0\

 JS0Vl6dzRlzktzelzLWz0Fy0Be06M0BE0JS0Vl6dzRlzktzelz\

 LWz0Fy0Be06M0BE0JS0Vl6dzRlzktzelzLWz0Fy0Be06M0BE0J\

 S0Vl6dzRlzktzelzLWz0Fy0Be06M0BE0JS0Vl6dzRlzktzelzL\

 Wz0Fy0Be06M000000000000000000000000000000000000000\

 00000000000000000000000000000000000000000000000000\

 00000000000000000000000000000000000000000000000000\

 00000000000000000000000000000000000000000000000000\

 00000000000000000000000000000000000000000000000000\

 0000000000000000000000000 }

frm:F_20140217_1620 {

; Exported from Fracton.

; 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*z*(cos(z)-1)+c1)+1/(d*(z^f)+c2)),

|z|<100

}