Take a straight line and replace it with three shorter ones, bent at sixty degrees like the first strokes of a zigzag. Do the same to each of those, turning alternately left and right, and keep going. The line never crosses itself, yet as the steps go on, it threads through every corner of Sierpiński’s triangle: the same lace as the rest of our Sierpiński range, but this time drawn in a single stroke.

It sits between a line and an area. Its fractal dimension is about 1.585, the same as the triangle it traces: more than a curve, less than a solid shape.

This print draws the line at several depths at once, so no two patches are the same.