Marc Marc
Chaos Revisited

During the year 1992, I studied how to program chaos equations. I noticed that there was not much variation done in this field. All equation kept close to the 'conventional' and very serious mathematics. Also, what was shocking to me, it turned out that a lot of graphics were a kind of fake. I mean, we always were told in popular terms that chaos graphics were a result of a mathematical equations just by plotting the calculation results in column/row order (the Mandelbrot technique). But, never told is the fact that for a lot a graphics a design structure or frame was used towards the end result.

 

 
For example: the beautiful leaves which pretend to prove that nature is creating such miracles just by a simple chaos equation is a lie. What is done, is to already pre design the lines - around which the calculation of chaos then is plotted. Also tricks like mirroring vertically, both horizontally or both to get symmetry is done a lot. My conclusion is that this is not the real state of the Art. You do not need chaos equations to do this. Simply look through a 'magic tube' with some mirrors in it and view anything you like to create a magic view. It is true that there also is a lot of real chaos. Amazing pictures but, above all very kitchy.

 

 
I have tried to create chaos algorithms which result in chaos graphics with a more personal touch - related to my other arts. This has lead to a collection so far, which is more simple than most chaos pictures and probably for many of you not interesting but, if you like real abstracts and also can be charmed by black and white, then view some of my chaos Arts.

I programmed my chaos software on a Atari ST for both monochrome and color resolution The program is mouse controlled and menus are included to easily have access to all the parameters and graphical tools to plot and to draw a certain equation.

 

 
An important goal of the software is the comfort to quickly figure out whether a certain equation is interesting or not. This is important because the program can run hundreds of different combinations of equations. This is achieved by studying all conventional chaos equations and then rip them apart into pieces that could be combined (a piece of this and another piece of that). Furthermore, I did add a lot a fantasies of my own. I'm not a mathematician and thus I feel free to mess around with idiotic functions. The only restriction was that the equation structure should remain within chaos theory and that the plotted result should be exactly reproducible when using the same settings and equations.

 
Because I did not like to wait for 24 hours to have a graphic plotted, I first of all explored the fast plotting possibilities of my software. This means that the 'depth' of the calculation was kept as low as possible to gain speed. It was fun to see that some of the graphics were ready within some minutes and were very satisfying from an aesthetic point of view.
Now, in 2003, we all have access to fast computers. Maybe, when I did have a fast computer at the time in the early nineties, instead of an 8 MHz computer, I never would have experimented with this 'less depth chaos' to gain time. A handicap often leads to more inventively and fundamental result.

The shown graphics are all monochrome (640x400 pixels). I converted them to my pentium PC to use them in this issue.

 

 

 
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