Turtle graphics are my latest algorithmic adventure. I have been much inspired by my friend, Bob Brill, who has designed the graphics software that I use, and whose Web site of algorithmic art is especially interesting and tasty.

So far, my work with turtle imagery has boiled down to a battle between symmetry and asymmetry. You can see that in some of the images below, symmetry is winning, while in others, asymmetry prevails.

You will notice among the titles references to "binary" and also to "ternary." So far, I have not made very much use of numbers using other than binary or ternary arithmetic with these turtle images, but I hope to work with 4, 5, 6, 7, 8, 12, and 16 soon.

I am also fascinated by the variety of textures possible with mathematically controlled line drawings. I have been particularly pleased and surprised by shapes that can only be called "whimsical."