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1. This quilt, made by Amish women in Pennsylvania, is an example of reflection symmetry. United States, Diamond in the Square Quilt, about 1910, wool and cotton, Minneapolis Institute of Arts, gift of Katherine Komanoff Goodman
2. In this example of rotation symmetry, the design in one-fourth of the light fixture is repeated three times, turning at 90-degree angles around the center. William Gray Purcell, George Grant Elmslie, Mosaic Art Shops (E. L. Sharretts), Ceiling light fixture, 1913, glass, zinc caming, Minneapolis Institute of Arts, bequest of Anson Cutts, Jr.
3. The animal decoration of this Guatemalan weaving has translation symmetry. The design repeats as though sliding up and down and sideways, but it is not flipped or turned. Maya culture, Guatemala, Tzute, 1935-40, cotton, Minneapolis Institute of Arts, gift of Richard L. Simmons
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