Chair tiling

In geometry, a chair tiling (or L tiling) is a nonperiodic substitution tiling created from L-tromino prototiles.

These prototiles are examples of rep-tiles and so an iterative process of decomposing the L tiles into smaller copies and then rescaling them to their original size can be used to cover patches of the plane.

[2]: 482  The trilobite and cross tiles are aperiodic tiles that enforce the chair tiling substitution structure[3] and these tiles have been modified to a simple aperiodic set of tiles using matching rules enforcing the same structure.

[4] Barge et al. have computed the Čech cohomology of the chair tiling[5] and it has been shown that chair tilings can also be obtained via a cut-and-project scheme.

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