Figure 3

One-dimensional tiling selection. Illustration of an iteration of the tiling selection algorithm on a 1 × 5 strip of the grid. Tick marks indicate the boundaries of between the potential tile to be added and the rest of the tiling. See text for more details. (a) Best tilings ${\mathcal{T}}_{C_L-1}$ for C_L ∈ {1, 2, 3, 4}. (b) Candidate tiles $T_{C_L{C}_H}$ for each value of C_L. Highest scoring tile for each pair is shown as "best.". (c) Candidate tilings ${\mathcal{T}}_{C_L-1}\cup \left\{T_{C_L{C}_H}\right\}$ for each value of C_L. Highest scoring tiling shown as "best."