Hénon - chaotic screensaver
Hénon 1.0
by Marco Coïsson
Versione italiana
Please note that this application is no longer supported, because of my limited spare time. I cannot guarantee neither future development nor bug fixes. Sorry.
This screensaver gives a graphical representation of the so-called Hénon correlations, shown in the figure below.
The algorythm for the generation of the images is the following:
- Choose a start value for the (x,y) pair and for the alpha parameter
- Compute new values for (x,y) by means of the above equations
- Plot the (x,y) pair
- Use the just calculated values for (x,y) as input values for step 2
- Repeat steps 2 to 4 as many times as you like
- Choose another (x,y) pair as starting value, incrementing those chosen in step 1 by a predefined amount
- Restart from step 2
- Are you getting bored? Choose another value for the alpha parameter and start again
The effect of all these steps is artistically pleasant; a few examples are shown below.
To install this screensaver, copy HenonSaver.saver (its icon should be a folder, but since
it's a bundle it is treated as a single file) into ~/Library/Screen Savers/
and select Henon into the Screen Saver preference pane of System Preferences.
The configurable parameters are:
- the alpha parameter, that you can manually set or keep free to randomly vary (between 0.1 and 5).
- the step, i.e. the operation of step 6 of the algorythm.
- the scale, that you can manually set (between 50 and 1000) or keep free to randomly vary (from 50 to the full scale value that you set).
- the number of iterations (between 100 and 5000), i.e. how defined is the image that you're generating.
- how many figures you wand to draw before clearing it and starting again.
Enjoy!
Download
Hénon 1.0
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