Re: [Fractint] Astroid Out

1 Mar 2011

      I agree with Ken,

Furthermore, art quality depends upon many things, but especially
* The tools used
* The skill and experience of the artist

Janet Parke is a well recognized and published artist, and taught several 
courses on fractal art for several years. Her basic principles are the same 
as for anyone in the fine arts, and those taking her courses were given fine 
art reference materials to study and apply. Good fractal art is not 
something where you can turn on the computer and play around with formulas 
and colors. It requires practice, dedication and time.

Ron Barnett
http://www.hiddendimension.com
http://www.hiddendimension.com/Challenges/UF5Challenges.html
http://www.hiddendimension.com/Challenges/OneLayer/UFOneLayer.html
http://www.hiddendimension.com/GalleryMain/Xenodream_Gallery/Xenodream_Galle...
http://www.renderosity.com/mod/gallery/browse.php?username=barnettr
Life is about art. Art is about life.

----- Original Message ----- 
From: "Ken Childress" <kenc@urassociation.com>
To: "Fractint and General Fractals Discussion" 
<fractint@mailman.xmission.com>
Sent: Tuesday, March 01, 2011 10:08 AM
Subject: Re: [Fractint] Astroid Out
...
John,
I have had two pieces of fractal art on my walls for years.  It is
without question that fractals "can" be art.  Whether any given piece
is art to you or anyone else is another question.  It's like all forms
of art.  What is art to you, may not be art to me.
Ken...
On 2/28/2011 10:24 PM, juanw@shaw.ca wrote:
...
A long time ago Jim Muth initiated a discussion in this forum concerning
the question... "can Fractals be art". I was always a "con". I believed
that very few people could frame and hang a fractal on the living room
wall, and keep it there for very long. They rapidly became visually
uninteresting.
Now, however, I think I'm going to change my mind. Mike Frazier's recent
work might do it for me. I'm going to try hanging him!
John W.
----- Original Message -----
    *From:* Mike Frazier <mailto:fractonorg@gmail.com>
    *To:* Fractint and General Fractals Discussion
    <mailto:fractint@mailman.xmission.com>
    *Sent:* Sunday, February 27, 2011 6:13 PM
    *Subject:* [Fractint] Astroid Out
Here is a link to a web page with an image:
http://www.fracton.org/fmlposts/astroid_out.html
The formula for this fractal is called True_Astroid and is based on
    the original Astroid_Mset by Paul Carlson. The original draws an
    "inside out" astroid curve while this one draws it in true form. The
    orbit trap formula is modified to use the polar form instead of the
    parametric form. The changes to the formula were suggested by Gerald
    Dobiasovsky.
The parameter file used to make this image is below:
Astroid_Out { ; Exported from Fracton.
    reset=2004 type=formula formulafile=fracton.frm
    formulaname=True_Astroid passes=1 float=y
    center-mag=-1.265578607178311/0.1218562499999997/2\
    22.222225/1/0/0
    params=0.01/0.59/8/30/0/0/0/0/0/0 maxiter=500
    inside=255 outside=summ
    colors=000fOz<28>I0Kz0f<28>O08z88<28>O00zW0<28>c40\
    zz0<28>aG00zR<28>0C40zz<28>0CCGGz<28>00O000<12>000\
    z88 }
frm:True_Astroid {
    ; Based on
    ; Astroid_Mset copyright (c) Paul W. Carlson, 1997
    ; Modified for compatibility with Fractint 20.04 and
    ; Fracton by Mike Frazier, 2011
    ; Additional improvements by Gerald Dobiasovsky
    ;****************************************************
    ; Always use floating point math and outside=summ.
    ;
    ; Parameters:
    ; real(p1) = a factor controlling the width of the curves
    ; imag(p1) = radius of the astroid
    ; real(p2) = number of color ranges
    ; imag(p2) = number of colors in each color range
    ;
    ; Note that the equation variable is w, not z.
    ; Initialize cindex to the index of the background color
    ; Formula modified to avoid color index 0 which can not
    ; be used with outside=summ in FractInt v20.04
    ;****************************************************
    w=0,
    c=pixel,
    z=0,
    cindex=254,; Background color 254
    bailout=0,
    iter=0,
    range_num=0,
    i=(0,1),
    r=imag(p1),
    ;****************************************************
    ; In the accompanying par file,
    ; we have 8 color ranges with 30 colors in each range
    ; for a total of 240 colors. The first range starts at
    ; color 1. Pixels will use color 254 when |w| > 1000.
    ; Other values can be used here as long as the product
    ; of num_ranges times colors_in_range is less than 255.
    ; Color 254 is reserved for the background color and
    ; color 255 can be used for the inside color.
    ;****************************************************
    num_ranges=real(p2),
    colors_in_range=imag(p2),
    ;****************************************************
    ; Real(p1) controls the width of the curves.
    ; These values will usually be in the range 0.001 to 0.1
    ;****************************************************
    width=real(p1),
    index_factor=(colors_in_range-1)/width:
    ;****************************************************
    ; The equation being iterated. Almost any equation
    ; that can be expressed in terms of a complex variable
    ; and a complex constant will work with this method.
    ; This example uses the standard Mandelbrot set equation.
    ;****************************************************
    w=w*w+c,
    ;****************************************************
    ; The orbit trap curve. This example uses an "astroid"
    ; curve (which has absolutely nothing to do with huge
    ; rocks in outer space). Any two-dimensional curve can
    ; be used which can be expressed in parametric form in
    ; terms of the angle from the origin.
    ;****************************************************
    ; ang is really tan(ang) here
    ang=imag(w)/real(w),
    astroid=r*sqrt((ang^2+1)/(|ang|^(1/3)+1)^3),
    ;****************************************************
    ; If the orbit point is within some distance of the curve,
    ; set z to the index into the colormap and set the bailout
    ; flag.
    ;****************************************************
    distance=abs(|w|-|astroid|),
    if(distance<width&&iter>1),
    cindex=index_factor*distance+range_num*colors_in_range+1,
    bailout=1,
    endif,
    ;****************************************************
    ; Cycle through the range numbers (0 thru num_ranges - 1)
    ; With two color ranges, even iterations use color
    ; range 0, odd iterations use color range 1.
    ;****************************************************
    range_num=range_num+1,
    if(range_num==num_ranges),
    range_num=0,
    endif,
    ;****************************************************
    ; Since we are using outside=summ, we have to subtract
    ; the number of iterations from z.
    ;****************************************************
    iter=iter+1,
    z=cindex-iter,
    ;****************************************************
    ; Finally, we test for bailout
    ;****************************************************
    bailout==0&&|w|<1000
    }
--
    Mike Frazier
    www.fracton.org <http://www.fracton.org>
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