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four left in six generations

There are two more glider situations in the sixth generation. Both are based on the T5 triangle as a base piece, but since its use with the two gliders are diagonal reflections of one another, there probably isn't a clear coexistence situation in which one can overtake the other and produce nice simple collisions. That's something that still has to be tried, however.

In the first combination, there is a shift of four cells after six generations. The two different tiles needed to make up two species are are:

  
Figure 2.5: One species moves 4 left every six generations against a background generated by the other.
\begin{figure}
\centering
\begin{picture}
(100,100)
\put(0,0){\epsfxsize = 100pt \epsffile{TM4IN6A.EPS}}
\end{picture}
\end{figure}

To tile the plane and thus construct an evolution, make diagonals from either tile:
  
Figure 2.6: The second species is the glider, moving against a background established by the first.
\begin{figure}
\centering
\begin{picture}
(250,150)
\put(0,0){\epsfxsize = 250pt \epsffile{TM4IN6B.EPS}}
\end{picture}
\end{figure}


  
Figure 2.7: The first species is the glider, moving against a background established by the second.
\begin{figure}
\centering
\begin{picture}
(250,80)
\put(0,0){\epsfxsize = 250pt \epsffile{TM4IN6C.EPS}}
\end{picture}
\end{figure}


  
Figure 2.8: The de Bruijn diagram for shifting four cells left in six generations shows the ways in which one of the species can move within a background generated by the other, and all the combinations in between.
\begin{figure}
\centering
\begin{picture}
(290,350)
\put(0,0){\epsfxsize = 290pt \epsffile{DBM4IN6.EPS}}
\end{picture}
\end{figure}


next up previous contents
Next: one left in six Up: Gliders not using the Previous: two right in five
Example user SuSE Linux 6.2
2000-05-19