Linear Lace in Burgundy

Merino/alpaca yarn
2017

Joint Mathematics Meeting Exhibition of Mathematical Art, San Diego, January 2018

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Linear Lace in Burgundy depicts the seven frieze symmetry types with knitted lace, in designs inspired by traditional Estonian knitting and the patterns of Nancy Bush. It is a refinement of an earlier work, Linear Lace Pendant.

Due to inherent asymmetries in the shaping stitches, representations of frieze groups with 180° rotations (the designs in the top row) merely approximate rotational symmetry and reflections with horizontal axes. If we discount these approximations, each of the three designs has the same frieze group as the design directly below it. The final frieze group, in the bottom edging, can only be realized horizontally.

Linear Lace in Burgundy was knit by hand on 2.75 mm knitting needles.