;     Date: Mon, 17 Sep 2012 16:58:24 -0400
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 17-09-12 (Alien Landscape [7])
;       Id: <1.5.4.16.20120917170217.2c07cb54@earthlink.net>
; ---------
; 
; 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:
; 
;        <http://www.Nahee.com/FOTD/>
; 
; 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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