This example creates a series of images by drawing a 64 pixel straight line, then an adjacent parallel line which starts at a slight offset, then repeats this a few hundred times.

Each line is actually written one pixel at a time from a palette that increases the color intensity 31 times then reverses through the palette 31 times.

The starting point for each line is in a portion of the upper right quadrant. Swapping the (x,y) co-ordiates to (y,x) fills the this quadrant. Writing the same color with all combinations of + and - (x,y) and (y,x) distributes the pattern symetrically on the screen.

The curves are the result of each line's starting point coming from a cosine table modified to adjust for the number of pixels in the image size. When a selected portion of the cosine curve used is complete, a varying increment is added.

The color changes are at intervals that seemed pleasing.

The origins of this method were in the late nineties when hardware/software limitations meant only 16 different colors could be be displayed simultneously. The processor and screen driver speeds were so slow that extreme measures were needed to keep viewers from getting bored. Now I have added delays to keep it from being a blur.

The basic idea was to make use of computers' inherent ability to repeat a series of calculations with small changes each time.

Screen shots illustrate the intrinsic beauty of mathematic relationships and functions. I marvel at the attractivness of the many patterns I could not have made happen intentionally if that had ben my goal.