--------- Albrecht said:  ------------
> I prefer those "irregular" seemingly chaotic pictures - really 
> they are not chaotic at all - [they] address your feelings more 
> directly and have a certain athmosphere...

I think "irregular" was a poor word for me to choose.  I have 
not carefully thought out all of the characteristics of a fractal 
that would make it pleasing to me.  


-------
I like many features of your image at the link below: 
Path: MultifracArchive/New/Newgif/36 - 8MAGW-14
https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b9360795405d0e

Aspects of the red "thistle" at the right edge are carried 
through the rest of the fractal -- both by color and variations 
on its radiating spikes.  The large dark central areas make a 
nice background for the green and red "lacework" hovering 
over them. 

And the green background area provides a connectedness 
to all the figures that appear on it -- the thistle-like figures  
and the smaller, curved, dark "blades."

--------
Thanks for your code showing:  "...Albrecht Niekamp´s 
definition of a complex number."

*********************************************
*** However, I don't understand what this line does: ***
d=px/73,37
*********************************************

 - Hal Lane

########################
# hallane@earthlink.net
########################

From: Albrecht Niekamp [mailto:multifrac@t-online.de] 
Sent: Sunday, December 27, 2015 4:23 AM
To: Hal Lane <hallane@earthlink.net>
Subject: Re: [Fractint] Far Point


Am 27.12.2015 um 06:11 schrieb Hal Lane:
> My personal sensibilities seem to prefer smoother, less 
> irregular features in fractal images
Thank You, Hal.
;
Nowadays, after all those Fractint years I prefer those
"irregular" seemingly chaotic pictures - really they are
not chaotic at all - which address your feelings more
directly and have a certain athmosphere, like that
ring of fire in image35.
Including one more "irregular" image - for me the best
in this series - with par-file plus the parent view
- only par-file - for own zooms
;
https://www.cubbyusercontent.com/pl/MultifracArchive/_67536d81761949e592b9360795405d0e
;
Image Nr.36
Path MultifracArchive/New/Newgif
;
The Reality of the Impossible
--------------------------------
This refers to the impossibility of the imaginary
part of a complex number that mathematically is defined by a
square root of a negative value.
Fractint uses them all the time and the real
and imaginary parts of the variables are 
defined by the user as you know.
This is the mathematical expression for the
imaginary part of a complex number:
i2 = -1
i = √-1.
;
This image uses Albrecht Niekamp´s definition of a complex number.
------------------------------------------------------------------------
Instead of an explanation including the program code
performing the task.
The variable "PX" used is any number from 02 to 99
where the first figure [digit -hhl] is used for the calculation
of the real part and the second number [digit -hhl] for 
calculation of the imaginary part.
Additionally the function used is choosable if requested
for more complexity.
"FDM" decides if this function (FN4) is altered
---------start code----------------
If (1<px)
d=(trunc(px/10))/9
if (fdm)
da=fn4(px-100*d)
else
da=exp(px-100*d)
endif
d=px/73,37
px=d+sqr(-da)
else
px=p1
endif
-------------------------end code-start par-------------------------------
;
8magw-14           { ; ChaosWorld
                     ; Magnet Only
                     ; Time 0.23.44.87  Reso 11280/1024
                     ; Dec 26, 2015
  reset=2004 type=formula formulafile=mfr14.frm
  formulaname=multifractal_13 function=sin/exp/exp/sin passes=t
  center-mag=-0.99810913668919480/+0.32952097815457960/180.9059/1/-137.499\
  99999994165/-5.96633159544168734e-012
  params=0/0/80000.645957/14235.4911030602/152048.0404808056/384.160489401\
  21/384.00482000595/256.1007683001/512.1007683001/768.1007683001
  float=y maxiter=3071 inside=maxiter logmap=yes periodicity=0
  rseed=-2436 sound=off
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  }

8magw-16           { ; ParentView
                     ; Magnet Only
                     ; Time 0.04.04.87  Reso 11280/1024
                     ; Dec 26, 2015
  reset=2004 type=formula formulafile=mfr_13.frm
  formulaname=multifractal_13 function=sin/exp/exp/sin passes=t
  center-mag=-0.267002/-0.0163234/0.8929334/1/-90/-1.23373533611470521e-01\
  4
  params=0/0/80000.645957/14235.4911030602/152048.0404808056/384.160489401\
  21/384.00482000595/256.1007683001/512.1007683001/768.1007683001
  float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436
  sound=off
  colors=000110110000110<2>000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0\
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  }
--------------------------------------------------------------------------------

Albrecht
Das Wort für Welt ist Wald
; 



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