f[state[j, i], rule[#], max age] = f[state[j, i - 1], rule[#], state[j, i-1]]

CA behavior is determined by three number strings: state, rule and max-age.  Under certain conditions a CA is periodic. Like in the image below where a CA repeats its structure every 44 time units. The graph depicts state content.

At t=1 a zygote is planted and it starts growing until at t=41  cells  start dying while one differentiates into a zygote (gray square at t= 45), which generates a new CA. While the  CA is symmetric,  its age structure is skewed  and zygote differentiates only on one side. When cut through, both cuts continue the same cycle. The bottom CA was injured at t=32. One of its cells was killed. Initially CA thrives, yet soon it dies.


The experiment demonstrates some interesting biological features.
- CA has to mature before producing a progeny.
-In real life zygote differentiates into a somatic line which forms our body and a germ line, which carries  the capacity to form another zygote. While the first is mortal, germ line is immortal. This dichotomy is depicted also in the CA, which is short lived, only its zygote is immortal. Here the germ line is embedded in the structure of differentiating states, and becomes visible after somatic cells have died which starts at t= 41.
-Each new zygote is seeded further from its mother, which lets the CA progeny advance until it meets a partner.


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