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April 17, 1997: Dewdrop Lattice April 16 April 18 1997 FOTD Home

dewdrop

Fractal visionaries:

Here's a soft and pleasant three-armed fractal fern generated from the power-1000 Mandelbrot figure.  Normally, such a large exponent will give nothing more than a circle, but the extra term in the formula not only turns the figure inside out, it reduces the number of arms to 3, while retaining the delicate fern-like characteristics of the ultra-high order Mandeloids. Like yesterday's fractal, this one also seems nearly impossible to color poorly.

Jim Muth
jamth@mindspring.com

START FORMULA==================================================

Dewdrop_Lattice    { ; time=0:00:13.40-SF5 on P4-2000
   reset=1950 type=formula formulafile=basicer.frm
   formulaname=fracfern passes=1 center-mag=2.85889/0\
   /0.084716/1/90/0 float=y maxiter=10000
   inside=bof60 logmap=yes periodicity=6
   colors=00070800D57F4BK3GP4MU5UZ6Zc6ch7hm8mr9rvAvzz\
   zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
   zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
   zzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwz\
   zwzzwzzwzzwzzwzzwzzwzzwzzvzzuzztzzszzrzzqzzpzzozzm\
   zzlzzkzzjzzizzhzzgzzfzzezzdzzczzczzczzczzczzczzczz\
   czzczzczzczzczzczzczzczzczzczzczzczzczzczzczzczzcz\
   zczzczzczzczzczzczzczzczzczzczzczzczzczzczzczzdzyd\
   zxezwfzvgzuhztizsizrjzqkyplxomwnmvmmtlmskmrjmpimoh\
   mmgmlfmkemidmhcngbneand`nc_naZn`YnZXnYWnXVnVUnUTnU\
   SnVRmVRmWRmWQmXQmXQmYPmYPmZPmZOm_OmZOmYNmXMmWLmVKm\
   UJmTImSHmRGmQFmPElODkNCjMBiLAhK9hJ8gI7fH6eG5eF4dE3\
   cD2bC1aB0`A0_90Z80Y70X60WmEVnEUnDUoDToDTpCTpCSpCSq\
   BRqBRrBQrAQsAPsAPt9Ot9Ou9Nu8Nv8Mv8Mw7Lw7Lw7Lx5Mw6M\
   v7Lu9LtAKsBKrCJqDJpFIoGIoHInIHmJHlLGkMGjNFiOFhPEgR\
   EfSDeTDCHABHAAGAAG99F98F9 }

frm:fracfern {; Jim Muth
z=c=pixel:
z=z^1000*(c^(-1002))+c,
|z| <= 10000 }

END PARAMETER FILE==============================================