[Fractint] Multiplosh

23 Feb 2015

      I found this fractal while experimenting with different terms in the
parallel resistor formula. In this variation I multiplied cosh times sinh
and mixed it with z:

z=1/(1/(-1 * (cosh(z) - 1) * sinh(z) + pixel + 1) + 1/(-1 * z^3 + pixel -
1))

The equation was constructed so that the minimum power of z representing
the series for each term is 3. All the minibrots in the fractal are order 3.

Here is a link to an image:

http://dl.dropboxusercontent.com/u/33642054/image/multiplosh_1200_5.jpg

The FractInt compatible PAR file for the image is:

Multiplosh { ; Exported from Fracton.
 reset=2004 type=formula formulafile=fracton.frm
 formulaname=F_20150223_1612 passes=1 float=y
 center-mag=-3.269199343709963/0/2656681.533233844/\
 1/0/0
 params=-1/-1/0/3/-1/0/1/0/0/0 maxiter=2000
 inside=0 periodicity=6
 colors=0000000000000000000000000000000000000000000\
 00000000000000000000000000000000600F00O00X00e00V00\
 L00A00UMFaULj`RrhYzocshYkaScVMWOH000700J00U00d00a0\
 0Q00F00300WWb``geemjjroowkkrffmaahZZeUU`215B4KK8ZS\
 Bm`HvjPttXrzdkzkWzsFzz0tpDmdRfUdZIsaJvfMunSsuYrzam\
 z_czYVzWL00083FH7UPAhXFw_9ca4Jd00kCIsPZxXjzfdzoOzw\
 6ztDzjXz`prPZiCI`00_4GZ8XYClUDqK9_A4I000000300900F\
 00L00O00U00_00e00b00V00O00H00D00600UMFZRJdWNgZPlcU\
 rhYxmazocuk_pfWkaSh_QcVMZRJUMF000300B00J00Q00U00a0\
 0h00a00Y00Q00J00B00700000WWbZZe``gcckggnjjrmmuoowm\
 mtiipffmddlaahZZeWWbUU`00052AB4KE6PK8ZPAhVDr`HvcKv\
 jPtqUswZqzapzffzkWzqLzsFzx5xw4tpDohNmdRhY`cQiZIsXF\
 waJvfMukQtnSssWrx_qzamz`jz_czZYzXSzWLyVI00052AB4KE\
 6PK8ZPAhVDrXFwZBj`7Xa4Jb2Cd00i8CnGOsPZuTdz`pzfdzlT\
 zoOzuCzz0ztDzqKzjXzcjwXjuTdoKTiCIc46`15_2B_5MZ8XYB\
 gYClXFwQCkK9_G7UA4I316000 }

frm:F_20150223_1612 {
; 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*(cosh(z)-1)*sinh(z)+c1)+1/(d*(z^f)+c2)),
|z|<100
}

-- 
Mike Frazier
www.fracton.org