CA solutions set

The proliferon has several means to create solutions.  We plant a zygote which matures into a stem process which then starts planting zygotes evolving into  transient processes.  The length of a CA depends on cell production and delivery rates, del[length] = del[production] – del[delivery]. When delivery rate exceeds production the CA shrinks and vice versa. The set point determines when CA delivers. At  set point = 25 the CA is isolated and does not interact with other CA.  As the set point declines CA delivers more than it produces and changes its structure. The declining set point triggers 25 solutions some of which are atrophic.

Each CA in the image is an outcome of  a transformation. First it is isolated (set point =25). Then the  set point is lowered to 18. The “Change state” transformation  changes it appearance. Whenever the stem process reached state = 35, CA-2 state was replaced with the CA-1 state. Now the solution set consists of about 25 * 46 solutions. Let’s call it the basic solution set.

Additional solutions may be generated by injury. Following the first transformation, CA-2 was injured. Whenever reaching state = 20 the CA  lost the three left most cells (bits).

In the third CA, injury was followed by “change state”. Whenever CA-1 reached state 20, CA-2 state was replaced with the CA-1 state. In the fourth CA,  CA-2 state was replaced with the CA-1,whenever CA-1 reached state 15.

The basic solution set

Has a remarkable property. All its states are mutually exclusive. No two solutions with unequal structure share the same state. 

Injury has four outcomes:

1. A solution
2. A bounded solution (strange attractor)
3. Chaotic oscillation
4. Death

The following image depicts an injured CA which became a bounded solution (strange attractor). After applying to it a “change state” transformation,  it became a proper solution.

Chaotic oscillators are dangerous and may kill the proliferon. In order to protect itself it applies different strategies to terminate chaos. Some were  depicted in previous experiments (v Injury and repair, Injury and repair-1, Injury and repair-2). The “change state” strategy serves for the same purpose.

Innate memory

The basic solution set may be regarded as proliferon’s innate memory. The 25 * 46 solutions are its self. At this stage of its evolutions all generated solutions are copies of this basic set. All new solutions are continually compared with the basic set and when one is injured  the stem process identifies it as being different and initiates a rescue strategy.


For some tasks a three process proliferon may be adequate. Such a  specialized proliferon is  designed to solve (perform) a restricted task. When more solutions are needed, the proliferon has to be transformed by “injury” which broadens its experience and memory.  Injury drives the proliferon to novel solutions, and makes it  creative. Yet injury may kill. Which illustrates a fundamental property of life. For the sake of gaining knowledge and a new experience, life is often willing to face a threat.

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