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periodic lattice component

Figure: Although the T6'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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...s}}
\put(160,0){\epsfxsize =100pt \epsffile{t06b.eps}}
\end{picture}\end{figure}

Figure: However, the symmetric form in which T6's repeat along the diagonal to make a light velocity lattice, is impossible.
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Table: The columnar form of stacked T6's is C gliders, which show up in superluminal form in various parts of the map. Diagonal stacking is also possible, with a high position marked hi and a low position marked lo. In the subluminal region some composites are possible, marked HI or LO. Many other, less simple, combinations are possible.
  10 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8 9 10
1 . . . . . . . . . * . * . . . . . . . . .
2 . . . . . . . . * . . . * . . . . . . . .
3 . C3 . . . . . * . . . . . * . . hi . . C3 lo
4 . . . hi . . * . . . . . . . * . . . . C3 .
5 . C2 . . . * . . . . . . . lo . * . . . . .
6 . . . . * . . . . . . . . . . . * . . . hi
7 . C1 . . . . LO . HI . . . . . . . . * . C1 .
8 . . * . . . . . . . . . . . . . . . * . .
9 . * . . . . . . . . . . . . . . . . . C2 .
10 * . . . . . . . . . . . . hi . . lo . . . *


Figure: T6 is the largest triangle in the C gliders. The three C's are distinguished by the alignment of T6's and T1's wherever two columns join. The C gliders pack readily into lattices. An enormous variety eventually results from varying the staggering from column to column.
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Figure: Columns which somewhat resemble the C gliders result when the T6's are separated by padding of the same width.
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\put(0,0){\epsfxsize =400pt \epsffile{t6cy84.eps}}
\end{picture}\end{figure}

Figure: The same unit cell from Fig. [*] gives another lattice when its alignment is changed, this time with a steeper diagonal slant.
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\end{picture}\end{figure}

Figure: Three more variations on a slanting theme.
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...
\put(0,140){\epsfxsize =380pt \epsffile{t6cy101.eps}}
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Figure: Another three variations on a downward slanting theme.
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...
\put(0,140){\epsfxsize =340pt \epsffile{t6cy190.eps}}
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Figure: A lattice in which a T6 and a T7 share a unit cell.
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\end{picture}\end{figure}

Figure: A much more complex T6 lattice, of cycle 372, corresponding to 10 right every 9 generations. Note the family resemblance to the middle image in Fig [*] where only two T4's mesh with T6's.
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\put(0,0){\epsfxsize =400pt \epsffile{t6cy372.eps}}
\end{picture}\end{figure}


next up previous contents
Next: C glider component (static Up: T6 Previous: cross references   Contents
Jose Manuel Gomez Soto 2002-05-15