"Making of..." ~


Formulas

How the algorithm pictures are created

Since the colours, paper and easel were not always so easily accessible when I found the time to do some painting - especially when I was out travelling - I started to do some experimenting on my laptop computer to see if there were other ways to be creative.

Numbers.3Numbers.1After trying different methods, the technique to transform mathematical formulas and equations into pictures caught my attention. This was also something totally different from free-hand painting, and I found it quite interesting to explore “the expression of numbers”.

Part of this process is to combine mathematical formulas - most often the fractal formulas -, different colouring algorithms and parameters, plus the use of several layers with different merging & blend modes.

The formulas can then be converted from numbers into pictures. And this to virtually any print-sizes and quality you want. This can take some time, depending on the formula itself, number of layers, the output pixel size, and the speed of the PC used.

7.11
Picture Nr. 7.11

Numbers.2 For instance : On my "old" laptop with an Intel Centrino dual-core processor and 2 GB RAM, it used ca. 24 hours to convert one picture (Nr. 7.11) to a 70x100 cm print size with 300 ppi (pixels per inch) resolution.

Some results of my experiments with making pictures from numbers is what you can see in the Formula gallery.


Example, picture number 7.51

(the working title was 'Evolving')

The screenshot below shows one part of the process of creating this particular "Algorithmic Picture". I've also copied a part of the parameters needed to create it, just to show you that at its core, it is all just numbers and equations.

It can look pretty complex, but luckily, "you do not have to be a mechanic, to be able to drive a car", since there exists different software that can do the calculations.

But sometimes it can also be interesting to manipulate the code and formulas directly... in this sense "to be a mechanic"... :-)

7.51_MakOf_scr.shot

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The parameters below are ca. 20% of the basic formula…
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Evolving.2.1.A4 {
; Copyright © 2007 by Arnfinn Rølvåg.
fractal:
title="Evolving.2.1.A4" width=600 height=424 layers=7
credits="Arnfinn Rølvåg;4/28/2008"
layer:
caption="Layer 6" opacity=100 mergemode=hardlight
mapping:
center=0.77175870435/-1.297981957 magn=1.7507747 angle=-151.653
formula:
maxiter=100 percheck=off filename="lal.ufm" entry="JuliaFollies4"
f_fn1=asin
inside:
transfer=none
outside:
transfer=sqrt filename="ldm.ucl" entry="ldm-Thingamajigs" p_trp=yes
p_m=1 p_fl=G p_pc=no p_pcf=no p_cm="Min Distance*" p_mc=8.0 p_vc=0/0
p_tt=Off p_tc=1/1 p_v1=0.1 p_sc=5.0 p_tl=5.0 p_st=1.0 p_ff=1.0
p_tf=no p_sk=0.0 p_co=no p_sa=0.0 p_syc=0/0 p_wfl=no p_sb=0.0
p_ni=3.0 p_is=0.0 p_change=1 p_exp1=1/0 p_exp3=1/0 p_exp2=1/0
p_tw=0/0 p_tw2=0/0 p_tw3=0/0 p_op=+ p_so=no p_r=0.0 p_msk=0.0
p_im=no f_fn8=abs f_fn1=ident f_fn2=abs f_fn3=abs f_fn9=sqr
f_fn7=abs f_fn5=ident f_fn6=ident f_fn4=asin f_nufunc=ident
f_nufunc2=ident f_nufunc3=ident
gradient:
smooth=no index=0 color=6047744 index=181 color=0 index=259
color=15721983 index=313 color=7588095
opacity:
smooth=no index=0 opacity=255
layer:
caption="Layer 5" opacity=100 mergemode=blue
mapping:
center=0.77175870435/-1.297981957 magn=1.7507747 angle=-151.653
formula:
maxiter=100 percheck=off filename="lal.ufm" entry="JuliaFollies4"
f_fn1=asin
inside:
transfer=none
outside:
transfer=sqrt filename="ldm.ucl" entry="ldm-Thingamajigs" p_trp=yes
p_m=7 p_fl=K p_pc=no p_pcf=no p_cm="Min Distance*" p_mc=8.0 p_vc=0/0
p_tt=Off p_tc=1/1 p_v1=0.1 p_sc=5.0 p_tl=5.0 p_st=1.0 p_ff=1.0
p_tf=no p_sk=0.0 p_co=no p_sa=0.0 p_syc=0/0 p_wfl=no p_sb=0.0
p_ni=3.0 p_is=0.0 p_change=1 p_exp1=1/0 p_exp3=1/0 p_exp2=1/0
p_tw=0/0 p_tw2=0/0 p_tw3=0/0 p_op=+ p_so=no p_r=0.0 p_msk=0.0
p_im=no f_fn8=abs f_fn1=ident f_fn2=abs f_fn3=abs f_fn9=sqr
f_fn7=abs f_fn5=ident f_fn6=ident f_fn4=asin f_nufunc=ident
f_nufunc2=ident f_nufunc3=ident
gradient:
smooth=no rotation=34 index=34 color=6047744 index=215 color=0
index=293 color=15721983 index=391 color=0
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Links to the other 'Making of' pages :
Paintings,
Camera