Hexagonal Truchet-Smith Tiles

The tiles known as Truchet tiles have been used in a lot of varieties and are very well suited for parametric design. 

                                                      “Combinaisons” Roni Kaufman

                                                             “Trossets” Anna Carreras

The name Truchet comes from the French Dominican priest Jean Truchet (1657–1729), born in Lyon, who lived under the reign of Louis XIV. He was active in areas such as mathematics, hydraulics, graphics, typography, and for many inventions. Truchet tiles were first described in a 1704 memoir by  Truchet entitled "Mémoire sur les combinaisons", and were popularized in 1987 by Cyril Stanley Smith.

Actually the one I present has more to do with Smith tiles that he introduced them in a 1987 article on “The Tiling Patterns of Sébastien Truchet and the Topology of Structural Hierarchy.”

In this article from the mathematics magazine Chalkdust the author Colin Beveridge studies new ways of extending tiles to 2n-gons and one of these ways is with hexagons. In Prusa designs likes the use of hexagons a lot so I have decided to use this pattern.

Using hexagonal shapes with 3 different tiles you can create a lot of variations in the composition. In this page you will find the stl patterns if you want to print them with colour change in the slicer

I have also uploaded them separately if you prefer to print each colour separately. This last option is the one I have chosen to take advantage of the rough texture of my sheet. I hope you like it!