Initializations corresponding to the Examples of the article, for use with Mcell (.mcl) or Golly (.rle)

 

Example 1:†††††††† a)†† mcl†††††††††††††††† b)†† mcl††††††††††††††† c)†† mcl†††††††††††††††† d)†† mcl††††††††††††††† e )mcl†††††††††††††††† f)†† mcl

Seeds for Fig. 1. Opened in MCell, and run up to time 299 for a-d, up to time 499 for e-f, these reproduce the

six trajectories, in order: (a) 1, a maternal replicator; (b) 1011, a fraternal replicator; (c) 10011, a chaotic seed;

(d) 1011011, a chaotic seed with periodic wedges; and (e) 11111111, another chaotic seed that develops periodic bands near

the boundaries. These bands do not continue to spread, but there is a periodic seed (f) of length 85 with the same periodic state.

 

Example 2:†††††††† mcl

An Mcell experiment for our example of a seed with period 8 link but

period 32 handle. (All experiments for Examples 2-6 depict left edge dynamics.)

 

Example 3:†††††††† a)†† mcl†††††††††††††††† b)†† mcl††††††††††††††† c)†† mcl

Simple seeds that generate three of the robust periodic links for π=32. The last two are discussed in Section 8.

 

Example 4:†††††††† a)†† mcl†††††††††††††††† b)†† mcl

Relatively simple seeds for two of the robust handle-link pairs with π=64

discovered by the S-algorithm. The second is also discussed in Section 8.

 

Example 5:

a)†† simple†† mcl††††††††††††††† periodic†† mcl††† rle††††††††††††††††††††††††† b)†† simple†† mcl†††††††††††††† periodic†† mcl††† rle

c)†† simple†† mcl††††††††††††††† periodic††† mcl†† rle††††††††††††††††††††††††† d)†† simple†† mcl†††††††††††††† periodic†† mcl††† rle

Here the simple experiments start from seeds with four to eight 1's, as specified in the example. These seeds generate

robust links that may be used to construct periodic seeds with π=32. In each case, the corresponding periodic seed is

obtained by extracting a suitable initial segment from the limit configuration, in the same manner as for Example 1e-f above.

 

Example 6:†††††††††††††††††††††††† simple†† mcl†††††††††††††††††††††† periodic†† mcl

Experiments starting from the simple seed of ten 1ís and periodic seed of size 1476 with π= 64 that produce Fig.6.

 

Example 7:†††††††††††††††††††††††† simple†† mcl†††††††††††††††††††††† replicator†† mcl

Experiments starting from the simple seed of five 1ís and replicator seed of size 931 that produce Fig.7a-b.


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