Wednesday, November 15, 2006

7. Solution

CA histories depicted in the previous experiments are processes whose initial condition is a state containing the number 1. It is called here a zygote. You plant the zygote and the process starts evolving. Each line is a CA state at a certain moment of time. A process has three kinds of outcome:
1. Lives for ever (marked by an A in the image).
2. Dies (marked by a B in the image), or
3. Proceeds through a transient which either dies or lives for ever. (marked by a C in the image).

The study focuses on immortal processes which are called process-solutions. They are known also as attractors. We shall distinguish between regular and irregular attractors. The latter are called also strange attractors. The attractors depicted here are regular. Below is an irregular (strange) attractor.

The study explores ways which drive a process into an attractor. The experiment depicts two ways:

1. Interaction of two mortal CA ends in an immortal solution. (Second from left)
2. Interaction of a mortal and an immortal CA creates two solutions. (Last process)


Strange attractor

Click for additional information