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Home > 2017 Mathematical Art Exhibition
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"The Double-Knitting Groups," by Susan Goldstine (St. Mary's College of Maryland, St. Mary's City, MD)

40 x 40 cm, silk/merino yarn, 2016

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. --- Susan Goldstine

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American Mathematical Society