I'm fascinated by the beauty and variety of Celtic art. Their knotwork in particular is both simple and complex, and I find it very appealing.
There aren't too many rules in designing knotwork, but you do want to make sure that the bands overlap and underlap in perfect alternation. Often there can be more than one band; then they have to work in harmony. There are many different ways of decorating bands; the examples below have both classical and original approaches. The Celts attached mystical and religious significance to various types of knots and the meaning of the knotwork; I have not intended such interpretations in my work.

I've enjoyed exploring the variety of possibilities offered by knotwork designs, both for abstract and concrete purposes. This little gallery shows a cross-section of some of my recent work. The colors you're seeing here are probably only vaguely like the ones I used; the images have passed through a scanner, conversion to gif or jpeg, and then display on your CRT. So we lose some accuracy, but you can get the general idea.

Click on any picture to see its larger jpeg version. Please note that these images are my original work and copyrighted; please don't copy them without permission.

 

Cuboctahedron
Cuboctahedron. Here the knotwork takes place in 3D, not the picture plane.
Butterfly
Butterfly.
Pointed Message
Pointed Message. A get-well card for a friend, combining curved and straight elements.
Star #6
Star #6. Most Celtic knots are based on curved designs; here I used straight segments almost exclusively.
Panel #2
Panel #2. A classic two-color knotwork panel.
Caduceus
Caduceus. The symbol of healing amidst vines.
Bubbling
Bubbling. A design for a chemist friend. If you follow the bands through the various labwork you'll find that there are only two continuous bands.
Peace
Peace. The red figure is a sitting Buddha.
Lampglow
Lampglow. An abstract design.
Cover of Computer Graphics
Celtic Knot Study #1. This was the cover of Computer Graphics, Volume 21, Number 2, April 1987.