August 19, 2010: Nearly Quadratic | Aug.
18 |
Aug. 20 | 2010 | FOTD Home |
Fractal
visionaries
and enthusiasts:
Today's image is named "Almost Quadratic". The reason is that the
exponent of Z is 2.01, which is almost quadratic. The parent
fractal is a Mandelbrot set, no surprise there, but this set is rotated
180 degrees, so that East Valley is on the west side of the main bay
and the main spike points east.
Both East Valley and the main spike have split into fractalized pieces,
with the greatest distortion on the southern branch of Seahorse Valley
and the southern shore of the large period-2 bud. But the
Seahorse Valley distortion is an FOTD for another day. Today we
are concerned with the things happening to East Valley, which has
broadened into a wedge. Today's image lies in a curious patch of
debris near the northern edge of this wedge.
All this strangeness might appear good in writing, but on the screen,
even when helped by the 'tdis' outside option, it makes an image that I
can rate no higher than a 6.
Lots of clouds, a little sun and a temperature of 82F 28C made
Wednesday a rather pleasant but uneventful day here at Fractal
Central. The fractal cats were not concerned with the outside
weather however. Nicholas somehow worked open one of the high
unused cabinets in the kitchen and disappeared inside for a couple
hours during the afternoon. Cassie checked the space but decided
not to go in.
In my department, things were about average. The next FOTD will
be posted in 24 hours, and that certainly is average. Until then,
take care, and if all electrons are exactly the same, how can we
distinguish one from another?
Jim Muth
jamth@mindspring.com
jimmuth@aol.com
START PARAMETER FILE=======================================
Nearly_Quadratic { ; time=0:05:23.51-SF5 on P4-2000
reset=2004 type=formula formulafile=basicer.frm
formulaname=MandelbrotBC3 function=ident
center-mag=-0.258603580125043/-0.00230274752051391\
/2.985925e+008/1/166/0 params=2.01/0/1.5/0 float=y
maxiter=4200 inside=0 outside=tdis periodicity=6
colors=000RbBUb3ZZ6bW9fSCjPEcYNYfWRodLxmOqnQjnTdnV\
YnXSnUWoRZpPbqMerKhrLkdMnRMpDOoJPnPQmVRl`SkfTjlUir\
ViwjSmzAcsDbmFagIa`K`VN_PP_MRXF3PD5MFQPDDMBBJ99HD4\
GHDFK2EG8LCDR8IXGPYNVYUaY`gYgmYifUj_RlTOmMKoFHp8Eq\
1cT8zpjzo9zkZzgUzd8z`8zX7zU7`Q7_N7ZR9VVARZCOacKeEG\
iGDmH9pI6qP7qV8ra8rg9rm9nnEjnJfnNbnSZoXVo`RoeNoiLq\
eKraIsZHtVGuREvODwKCxH6tJ1pK5qH9rFDsDHsBIlGIeKIZOI\
SSILWIE_I7cI0gN8hRFiVMi_Tjc_jgfkkmkjniiohipghqegrd\
gscilbjebkZbg`ZcbW_dTWeQSgNOiKKkHHlEPnHWoKcqMjrPqs\
RvL7nK9gKA`JBUJCMIDFIE8HF1HG7myPdefXNwP4oV4g`4_e4W\
b8S_BOXELUHHRKDONALQ9KV9K_8Jd8Ji7In7Is7IwaG9YLBVQD\
SVEPZGMcHJhJGlK9kK2kK5mP8nUBpZEqbHrgKtlNuqQvucx_py\
Er6df5WaE`YNdTWhPclWcOYVK_MHaDEc5B`L83YvG`mTcddeWf\
aZhY`jVclRemOgVbZCqQEpSGoUInWJmYLl_NkaOkcTldXle`le\
dlfhlgllgplhtlhsjarhVrgOqeHpcApb3jZBeVI`SQWOXQKcLH\
kGDrBAygOSl`_qmgkgeKeTNcJ }
frm:MandelbrotBC3 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(p/(2*PI))
r=real(p2)+PI-q
Z=C=Pixel:
Z=log(Z)
IF(imag(Z)>r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z|<a }
END PARAMETER FILE=========================================