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periodic lattice component

Figure: Although the T5's will not fit together in a lattice of which they are the only component, they go well with T1's, in two enantiomorphic forms.
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Figure: If other fillers besides single T1's are considered, the T5's can crystalize in still further periodic lattices. Here two T2's are used instead of a singlet; the latice still accomodates them although slopes and spacings have changed.
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Figure: In the left image a diagonal of T1's and T3's separates diagonals of T5's. In fact, these diagonal stripes can be combined arbitrarily, but only the one shown has the shift-periodicity of ``right 2 in 5.'' In the tight image, a column of T2's separates columns of T5's. Inclusion of the T2 stripe is optional, but two of them cannot be placed alongside of each other because of violating the alignment restriction for upper margins. If they could have been, the result would have been a new T2 lattice.
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Figure: If still further combinations are considered, we can look at the two above. In the left image, a horizontal stripe composed of T2's and T3's separates horizontal stripes composed of T5's. This buffer stripe allows successive T5's to fall by a single cell, in contrast to the right image in Figure [*], where they fall by two cells. In the right image, T4's join with T5's to make a grid, within which slightly rising horizontal stripes can be discerned.
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Figure: Rather than aligning vertically, a T4-T5 pair can align vertically, although it is hard to say whether the result is vertical stripes separated by a shim, or successive stripes of T5's and T4's respectively, with their own lamination. In the right image, T4's join with T5's to make a grid whose unit cell is shown to one side.
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Figure: When two lattices are compatible they can sometimes be merged along a variant seam, of the same symmetry.
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next up previous contents
Next: glider component Up: T5 Previous: cross references   Contents
Jose Manuel Gomez Soto 2002-05-15