Sept. 17, 2012: Alien Lanscape | Sept. 16 | Sept. 18 | 2012 | FOTD Home |
Fractal visionaries and enthusiasts:
Today,
as I promised
yesterday, we move beyond the field of rectangles into the field of
landscapes on other planets, where we find the curious scene
illustrated in today's image. The gravity on this alien
planet
must be extremely weak, since the fractal rock formations appear barely
able to support themselves. At the same time, the planet
appears
to have gravity enough to hold a thin atmosphere, which gives the dark
purplish tinge to the background sky.
The generating formula, Mandnewt12, is the last in my ancient series of
MandNewt formulas, the purpose of which I have long since
forgotten. These formulas seem to generate images that
combine
Mandelbrot features with features found in fractals generated by
Newton's method of extracting roots. At the present time, the
formulas serve to create fractals that are a total surprise, which is
why I sometimes turn to them when I wish to be surprised.
Since many images created by these formulas consist only of 'inside'
stuff, they do not come to life until an active inside fill is
applied. In today's image the 'atan' fill does the job.
The parameters were found by the evolver feature of Fractint and then
rounded off to make things simpler. However I did set the p3
parameters to unity by hand.
The calculation time of a mere 25 seconds will bring relief to those
who have more to do than can be squeezed into the time
available.
The web sites can eliminate even this brief delay.
Today began foggy and chilly here at Fractal Central, with a
temperature of 48F +9C. The fog cleared by mid-morning,
leading
to a partly sunny afternoon with a high temperature of 73F
23C.
Rain was due to arrive after dark, but as of FOTD post time, had not
yet appeared. The fractal cats had a day of roughhousing,
apparently forgetting that they had talked with the doctor when they
were kittens.
The humans made it through another day without anything happening that
was worth reporting. The next FOTD will be posted when the
neat
come home. Jumbo was a bull elephant; Ferdinand was a bull
neat. Don't call him a bull cow; it makes no sense and he
might
be deeply offended! Until whenever, take care, and keep
iterating.
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
Alien_Landscape { ; time=0:00:25.00 SF5
at 2000MHZ
reset=2004 type=formula formulafile=mandnewt.frm
formulaname=MandNewt12 center-mag=1.49823/-0.03563\
47/65.396/1/-102.5/0 params=-2.06/4.81/-3.31/-0.91\
/1/1 float=y maxiter=95 inside=atan periodicity=0
colors=000G2rH2tI2vJ2xK2z02z02z02z02z02z02z02z02z0\
2z02zLWyLVyLUyLTyLRwLQwLPwLNwLMwLLwJJvJJtJJsIIpIIn\
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2`Y7bYBeZHh`NkaUnbWmdZkdahebffeehhdhkajn`kqZmsYmvV\
nyUpsWqnZshatddtZfvUjwQmyLpkNh`QaPRUFUN5WH5WG5WG5W\
F4WD4WD4WD4WB4WA4WA4W94W83W83W73W63W63W53W43W32W32\
W22W12W12W02W02W02W01W01W01W01W00W02W05W17W4AW8DWB\
GWGJWJMWPQYTTYYWYa`YfbYkfYqjYvnYznYynYwnZtnZqnZnnZ\
mp`jp`fp`ep`bp``paYpaWpaU }
frm:MandNewt12 {; Jim Muth
z=g=pixel, a=real(p1), b=imag(p1), c=real(p2),
d=imag(p2), e=real(p3), f=imag(p3):
h=z^a+(g-1)*(z-b)
j=c*z^d+g
z=z-e*h/(f*j),
.0000000000000000000000000000005 <= |h| }
END PARAMETER FILE=========================================