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T5 mosaic

Figure 1.15: To tile the plane, T5 triangles cannot be stacked diagonally, unless they are placed slightly off center, for reaqsons of parity. There remain interstices which can be filled by one or two T1 tiles, but not by two T1's in a row if Rule 110's evolution is to be respected.
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Figure 1.16: Left and Right: the two enantiomers of the T5 tile. Center: The T5 can combine with two T1's to produce a hexagonal lattice with a larger unit cell than T5 and T1 alone. Only one of the two enantiomers of the central figure is shown, since the other would never emerge from a Rule 110 evolution.
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Jose Manuel Gomez Soto 2002-01-31