Imagine you have a row of blocks, and each block can either be black or white. This row represents the current state of our system. Rule 30 is a set of instructions that tells us how the next row should look based on the current row.
Here's how it works:
- We look at each block in the current row, as well as its two neighbors (one to the left and one to the right).
- We use these three blocks to determine the color of the block in the next row directly beneath the block we're looking at in the current row.
- We repeat this process for every block in the current row to generate the entire next row.
The given set of instructions in rule 30 tells us which color each block in the next row should be, based on the colors of the block and its neighboring blocks in the current row. This continues as we generate more and more rows, and over time we can see some really interesting patterns emerge.
Rule 30 is a specific set of instructions that generates a pattern that can be described as chaotic, random, and complex. Despite the simplicity of the underlying rules, the pattern that emerges from rule 30 is anything but simple. It's an incredibly fascinating example of how complex behavior can emerge from simple rules.