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T1 mosaic

Figure 1.8: The plane tiled by T1 triangles.
\begin{figure}\centering\begin{picture}(250,250) \put(0,0){\epsfxsize = 250pt \epsffile{latt1.eps}} \end{picture}\end{figure}

Figure 1.8 shows the tiling constructed from the smallest triangles of all, which we have called T1. The triangles stand in columns, alternate columns staggered. The unit cells are square, with three of the four states equal to 1. Therefore the density of this lattice is 75%, which is higher than Langton's ratioLangton's ratio [the relative proportion of states in the defining rule], which is $5/8$ or 62.5%, and therefore unlikely as an equilibrium configuration.


Jose Manuel Gomez Soto 2002-01-31