Very nicely done, Jim. Every now and again there's one that flat out surprises me. Mike On 17/09/2012 4:58 PM, Jim Muth wrote:
FOTD -- September 17, 2012 (Rating 7)
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 them- selves. 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.
The official FOTD web site may be accessed at:
<http://www.crosscanpuzzles.com/Archives.html>
The finished image is posted there to be viewed for free by all interested fractalists.
A high-definition rendering is available, also for free, at:
<http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
The back images are available online at:
And all of them are free.
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 happen- ing 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\ HHmzzzzvzzrztmzmhzedzZZzTTtMMmHHeBDZBBUA9QA8N97M95\ L85I84H74G74D63D63B529528416845D74IA3PF2TJ1WP0ZU0R\ Z0Vb0Yf0ek0mp0tt0zs0zp0zn0zm1tk3mh4ef6`e8WbAVaDUTF\ TRHRPJQNMPLPNJRMHULGW1L03M05N07P09Q0BT0DU0GV0IW0LY\ 0H0qH0vI0yI0zJ0tM1mN6dPAYQGQTLIURDVW6Yb0Y`2ZY5ZV8`\ TAaPDaMHbJLdHNeFReDVf9Zh7ah5ej3jj5jh6hh8hh9ffBffDe\ fFefHdeIdeLbeMbdPadQadT`bU`bWZaUZZRZYPZVMZUJZTHZQF\ ZPD`MA`L8`J6`H4`G2`D0`D0`A0aB0aF0`I0ZM0YQ0WU0VV0YW\ 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=========================================
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