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Figure 8
A sequence of tilings illustrating how tile-k-transitive tilings are created from fundamental (F) tilings by split (S) and glue (G) operations. The [\star{\tt 2223}] fundamental tile-1-transitive F tiling is split into a tile-2-transitive tiling of type FS. Two complementary gluing operations produce two new tile-2-transitive tilings of type FSG. Finally, by applying both of these glue operations we obtain a tiling of type FSGG.

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