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T6 mosaic

Figure 1.17: Examples of the occurrence of T6 mosaics in the evolution of Rule 110. These designs arise from shift-periodic evolution as detected by the de Bruijn diagram.
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Figure 1.18: The two asymmetric enantiomers of the T6 mosaic. In principle, the T6's could be stacked diagonally, filling the gaps symmetrically with T1's. The T6's groyp naturally into a hexagonal superlattice. But the layout on the right shows that there is no way to fill the plane without conflicting with Rule 110's requirement that the sequence 111 evolve into 0. Only T1's can nestle against the T6, but whatever is placed above the T1 necessitates a second T1, violating the prohibition against abutting top edges.
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Jose Manuel Gomez Soto 2002-01-31