The Double Knitting Groups

The Double-Knitting Groups exhibits all of the wallpaper symmetry types possible in double knitting. For a harmonious overall design, I grouped the nine structures into three pattern families: scrolls, hearts, and vines. Roughly speaking, the symmetry groups get more complex from top left to bottom right: the upper left pattern has only translations, the three adjacent to it have only translations and one other type of plane symmetry (clockwise: reflections, rotations, and glide reflections), and the remaining patterns have at least three symmetry types.

This work is based on my scarf design, Crystalline, whose pattern is published in the Deep Fall 2016 issue of Knitty and linked here. The square wall hanging was knit by hand on 1.75 mm needles.

The Double-Knitting Groups is one of the artworks that appears in my Bridges 2017 proceedings paper, A Survey of Symmetry Samplers.