# Symmetries and Antisymmetries of Truchet Rosettes

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In the beginning of the eighteenth century, the French priest Sébastien Truchet explored patterns made with a simple motif: a square divided by one of its diagonals into two colored triangles, now known as a Truchet tile.

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Contributed by: Andreia Hall, António Pereira, João Nunes and Paolo Vettori (June 13)

Open content licensed under CC BY-NC-SA

## Details

References

[1] A. Hall, P. Almeida and R. Teixeira, "Exploring Symmetry in Rosettes of Truchet Tiles," *Journal of Mathematics and the Arts*, 13(4), 2019 pp. 308–335. doi:10.1080/17513472.2019.1581963.

[2] L. Radovic and S. Jablan, "Antisymmetry and Modularity in Ornamental Art," *Bridges: Mathematical Connections in Art, Music, and Science* (R. Sarhangi and S. Jablan, eds.), Winfield, KS: Bridges Conference, 2001 pp. 55–66. archive.bridgesmathart.org/2001/bridges2001-55.html.

[3] C. S. Smith and P. Boucher, "The Tiling Patterns of Sebastien Truchet and the Topology of Structural Hierarchy," *Leonardo*, 20(4), 1987 pp. 373–385. doi:10.2307/1578535.

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