Guess the Antisymmetric Frieze Group, Part 1

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A frieze is a design on a two-dimensional strip that is periodic along the strip. These are often found in decorative art and in architectural design. Taking into account all possible symmetries (by translations, reflections, and rotations), seven classes of frieze groups are possible.

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An antisymmetric frieze group, using color-change translation, is shown in the right panel. Try to match this with the corresponding design in the control panel, until you get a message that your choice is correct.

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Contributed by: Izidor Hafner (January 2016)
Open content licensed under CC BY-NC-SA


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Reference

[1] L. Radovic and S. Jablan, "Antisymmetry and Modularity in Ornamental Art," in Proceedings of Bridges: Mathematical Connections in Art, Music, and Science, Kansas, 2001 pp. 55–66. archive.bridgesmathart.org/2001/bridges2001-55.pdf.



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