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One of the rules I found interesting was rule 117.

Rule #: 117

Results:

When you run rule 117 you end up getting a distorted pattern of green and black parallel lines. When one green square is turned on it then turns on one square to its top left and one square to its bottom right. Then the squares next to these two turn on until they form distorted parallel green lines. The squares immediately below these green lines are turned off forming distorted black parallel lines. When you use random setup the distorted parallel lines produces a wave-like effect. I thought at first that the rule switched between two stable states but if you change the max-pxcor and max-pycor to 200 then you can see that this isn't the case.

Capabilities:

Changing the density when using the random setup allows you to produce different wave-like patterns. The places where there are parallel likes could represent crests and the distorted lines could represent troughs.

World Explanation:

This rule is interesting because it can have a number of real-world applications. For example the wave-like effect produced when you use random setup at a certain density allows you to represent things like sound waves, light waves, radio waves, microwaves and earthquake waves. We can maybe also use it to model trends that have a wave-like pattern. Some other rules that were similar to rule 117 were rules 11 and 59.