## [Fractint] FOTD 01-05-12 (Testing 1-2-3 [7]) |

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Sebastien Helie at |

FOTD -- May 01, 2012 (Rating 7)

Fractal visionaries and enthusiasts:

It's a new month and time for a new theme. To escape the rut of

mathematical interest only, I have decided to make May the month

of images with artistic value. And there is no formula I know

of that creates images more artistic than those created by the

workhorse MandAutoCritInZ.

To lead off the month, we check the parent fractal that results

when Z^(2.01) is subtracted from Z^2 and straight C is added on

each iteration. Intuition says that this fractal will be little

more than an oversized Mandelbrot set. Well, the fractal is

oversized sure enough. A bailout radius of 1100 was neded to

fit it all in, but the fractal is far from an everyday

Mandelbrot set.

This parent fractal actually resembles a Z^(2.5)+C Mandeloid far

more than it resembles the classic M-set. In addition, it is

rotated 180 degrees so that the side normally on the east lies

on the west. Its East Valley has split into two well-defined

valleys, with the area between filled with many discontinuities

that call for exploration. Its main period-2 bud has sprouted

two large sub-buds, each growing its own infinitely divided main

spike. Today's image is located in the area of discontinuities

between the two large sub-buds.

The name "Testing 1-2-3" is what a sound man traditionally says

to test the levels of his sound system. It came about when I

saw myself setting up for an actual entire month of worthwhile

fractals. The rating of a 7 that I gave today's image is not

particularly outstanding, but I'm still not totally back into

artistic mode. The ratings will (hopefully) increase as the

month progresses.

The calculation time of 1-2/3 minutes is a fair price for a

fractal with a rating of a 7. And the web sites are always

there for those who would rather miss the fun of calculation.

The finished image is online at:

<http://www.crosscanpuzzles.com/Archives.html>

A high-definition rendering is at:

<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>

All the past images are at:

<http://www.Nahee.com/FOTD/>

Today brought a mix of clouds and sun to Fractal Central. The

pleasant temperature of 77F 25C made the periods of clouds seem

much more pleasant than they might have been. The fractal cat

duo was very active, chasing each other up and down the hallway

until Nicholas finally ran out of energy.

The humans, who never chase each other up and down the hallway,

had a more restful day doing routine things. The next FOTD will

be posted soon. (I'll no longer mention 24 hours, since the

time between postings is irregular, and has rarely if ever been

exactly 24 hours.) Until next time, take care, and it looks

like it might be fractals all the way down.

Jim Muth

jimmuth@???

START PARAMETER FILE=======================================

Testing_1-2-3 { ; time=0:01:40.00 SF5 at 2000MHZ

reset=2004 type=formula formulafile=basicer.frm

formulaname=MandAutoCritInZ function=ident float=y

center-mag=+21.50591668895752/-0.1715777757829369/\

3.11306e+009/1/82.5/0 params=1/2/-1/2.01/1/1000/0/0

maxiter=1250 inside=0 logmap=114 periodicity=6

colors=000u7fr6eo7dlGZiSUdZOZdJTiDOm8No6Mm7Lj7Jf6I\

c6G_5FW5DS4CO4AK39G37E26B0590460340220000FpaEm_EkY\

DhWDfUCcSCaQB_OBXMAVKASJ9QH9NF8LD8JB7G97E76B5693ze\

0vf1mb1hZ1cV1VQ1PM2LI2HF2DC2992qvznszkpzimzfkzdhza\

em_bhX`cVYcSVcQSUNQULNUIKUGHKDFKBC68948Y77P56G3Xqz\

VnzUlzSizRgzQezObzN`zMZvKWrJUmIShGPcFNZELUCIPBGKAE\

F8BA795psIilFbeDWZBQS8JL6CE4xj4uh3sf3qe3nc3la3j`3g\

Z3eX3cW3aU3ZS3XR3VP2SN2QM2OK2MI2JH2HF2FD2CC2AA2882\

0sz1pw1nt1lq2in2gk2eh2be3`b3Z_3WX4UV4SS4PP4NM5LJ5I\

G5GD6EA6B7694sPnoNjkMghLcdJ`aIXYHUVGQRENNDJcCGcACc\

99c85cGFcFEcFDcECcECcDBcDAcCAcC9cB8hP8hP7hP6hP6hP5\

hP4hP4hP3hP2hKZcKncKgcK`cKUcKNcKGcU9mY4mW3mU3mS3mQ\

3mP3mN3mU3mU2mU2mU2mU2mU2mU2mU2mUmmUmmUmmcmmcmmcmm\

cmmcmmcmmcmmcmmcmmcmmcmmcmmcmzm6zm6zm5zm5zm5zm4zm4\

zm3zm3zm2zm2zmfzmczmazm_zmXzKzzJzzIzzHzzGzzFzzEzzD\

zzCzzBzzAzz9zz8zz_zzXzzVz }

frm:MandAutoCritInZ {; Jim Muth

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

g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)),

k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):

z=k*((a*(z^b))+(d*(z^f)))+c,

|z| < l }

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

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