Genius: A More Complex Example

Finding Basins with

Smilie 3 Visual Representation
of a
Historical Trace

Now that you're familiar with the basic idea ideas of N, K Boolean systems, let's examine their representation with Smilie 3 for a more complex example with N=100 nodes.

General Instructions for Smilie 3 Historical Trace
Instructions for using Sound

FIRST, click the DELAY button and set delay to around 100 msec., then click the PLAY button.

The historical trace will move across the veiwing frame in a pattern that reflects the shifts inherent to the basin the system is in. The fundamental epistemological questions posed by a dynamic ecology to all sentient beings include noticing which basin a system is in and noticing when the dynamics shift from one basin to another. Which repetitive pattern of behaviro characterizes the prey in at this moment? A predator needs to be able to extract basin patterns from the enviroment and adjust its behavior to the differences in those patterns.

One Iteration Forward (Double Black Arrow). It may be easier to examine the pattern if you can move the system forward one iteration at a time. The Double Black Arrow allows you to do this. If you wish you can move the system through its cycle in this way and decide which basin (Alpha, Beta, Gamma) it is in. If the system is running, press STOP. Then press the double black arrow. You the nodes shift their pattern to the next iteration.

Perturbing the System. The Perturb button allows you to pseudo-randomly change the state of some percentage (chosen by you but defaulting to 50%) of the system's nodes. If you perturb the system does it change to another basin? Which? As the system is perturbed can you learn to recognize its many basins? Can you tell one from another?

This is a rather complex system with 108 basins. Its lengths include L=2, 5, and 10.Learning to recognize these basins with Smilie 3 as you perturb the system mulitple times is much easier with Smilie 3 than it is with the Twinkling Nodes visual representation.