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Algarithmic Growth
In the example of the cellular automata, this is a very simple system. You can't predict from the little information what the end point would look like without ally growing it. And so for this super simple mathematical concept, we know there cannot be anyway, any analytical math, to calculate what row number one thousand looks like. The idea in your book is that d and a doesn't incode the end point, but it incodes the algarithmic the algorithm a to grow things.