Cartesian Lace Drawings

The past few months I have been developing a new type of drawing process based on Set Theory and the concept of mapping. Using the Cartesian coordinate system, I started by plotting sets of points on the x, y and z axes. To create a visual metaphor for the 4th dimension, I added one more axis perpendicular to the z axis. Using different mapping procedures I connect points from one axis to point on another. I utilize bijective (one point to one point) mapping, as well as non-bijective (one point to many points ) mapping patterns.

These new drawings use mathematics to create intricate patterns that relate to technological network maps, neurological phenomena, but also to hand-made lace.
Susan Happersett