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Home > Frank Farris :: Seeing Symmetry

"Tiffany Glass from a Mountain Gentian and its Negative," by Frank A. Farris, Santa Clara University, CA

Ink jet on paper, 2012.

Using a composite photograph of a mountain gentian juxtaposed with its negative to produce an intense contrast of purple with the original green, I used just the right waves to make wallpaper with horizontal mirrors, vertical glides, and 2-fold rotational symmetry. In the notation of the International Union of Crystallographers, the symmetry group of this pattern is pmg, but if we allow color-swapping transformations as generalized symmetries, the larger group is cmm, so this pattern type is called cmm/pmg. The "Seeing Symmetry" virtual exhibition at includes more works and details. --- Frank A. Farris

farris-tiffany-hi-res.jpg farris-pepper-hi-res.jpg farris-turtles-hi-res.jpg farris-cmMpls.jpg AlternatingWoodBugs.jpg

American Mathematical Society