Regularity

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[[File:Truchet-Tiles-Randoms.jpg|500px|center|Smith, Cyril Stanley, and Pauline Boucher. “The Tiling Patterns of Sebastien Truchet and the Topology of Structural Hierarchy.” Leonardo 20.4 (1987) : 373-385.]]

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The latices of a grid are still visible, but randomness has made its mark, leaving imperfections that disrupt any nascent pattern. Unlike the examples Truchet and Douat give, there is no resolution to the structure. Smith continues to push the limits of the Truchet tiles' regularity by omitting colors from the tiles, leaving only the black diagonal line. Suddenly the four orientations of any given tile have been reduced to two. Smith does this trick with random array of Truchet tiles pictured above:

+

The latices of a grid are still visible, but randomness has made its mark, leaving imperfections that disrupt any nascent pattern. Unlike the examples Truchet and Douat give, there is no resolution to the structure. Smith continues to push the limits of the Truchet tiles' regularity by omitting colors from the tiles, leaving only the black diagonal line. Suddenly the four orientations of any given tile have been reduced to two. Smith does this trick with the random array of Truchet tiles pictured above:

[[File:Truchet-Tiles-NoColor.jpg|500px|center|Smith, Cyril Stanley, and Pauline Boucher. “The Tiling Patterns of Sebastien Truchet and the Topology of Structural Hierarchy.” Leonardo 20.4 (1987) : 373-385.]]

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@@ Line 15: / Line 15: @@
 [[File:Truchet-Tiles-Randoms.jpg|500px|center|Smith, Cyril Stanley, and Pauline Boucher. “The Tiling Patterns of Sebastien Truchet and the Topology of Structural Hierarchy.” Leonardo 20.4 (1987) : 373-385.]]
-The latices of a grid are still visible, but randomness has made its mark, leaving imperfections that disrupt any nascent pattern. Unlike the examples Truchet and Douat give, there is no resolution to the structure. Smith continues to push the limits of the Truchet tiles' regularity by omitting colors from the tiles, leaving only the black diagonal line. Suddenly the four orientations of any given tile have been reduced to two. Smith does this trick with random array of Truchet tiles pictured above:
+The latices of a grid are still visible, but randomness has made its mark, leaving imperfections that disrupt any nascent pattern. Unlike the examples Truchet and Douat give, there is no resolution to the structure. Smith continues to push the limits of the Truchet tiles' regularity by omitting colors from the tiles, leaving only the black diagonal line. Suddenly the four orientations of any given tile have been reduced to two. Smith does this trick with the random array of Truchet tiles pictured above:
 [[File:Truchet-Tiles-NoColor.jpg|500px|center|Smith, Cyril Stanley, and Pauline Boucher. “The Tiling Patterns of Sebastien Truchet and the Topology of Structural Hierarchy.” Leonardo 20.4 (1987) : 373-385.]]