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Figure 6
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Figure 7
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Figure 8
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| It is interesting to see how we can step from the first kind of construction to the second. In Figure 6 we can see an interwoven tiling-lattice originally drawn by M.C. Escher. If each thick strand of the mesh of the two differently colored hexagonal tiling-lattices is split in two, and the resulting double strands are re-woven, we get the drawing of connected contours shown in Figure 7. Extending these contours and reweaving brings us to Figure 8.
(Notice that we need five colors for Figure 8 to discern the separate connected strands, instead of only two colors as in Figures 6 and 7.) In Figures 9 and 10 we see interwoven lattice constructions in which three layers are used. The same step that took Figure 6 to Figure 7 is used to transform the tiling-lattices from Figure 10 to the connected contours in Figure 11. |
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Figure 9
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Figure 10
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Figure 11
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