A short discussion with my friend Alan about Cellular Automata and the SierpiƄski triangle.

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I'm in Discrete class and the professor just showed us pascal's
triangle mod 2 (the remainder when the each number is divided by 2, if
you didn't remember/ formally learn the notation) which yields
Sierpinski triangle, which was the cellular automaton you showed me,
right? Well, after seeing that it was equivalent to pascal's triangle
mod 2, I immediately saw a way to generate the automaton; it's
actually really simple.

We should look into substitution systems together; they're similar to
cellular automata in that they're dynamic, but they're simpler because
they're one dimensional. I learned about them from pressing the
"random search query" on wolfram alpha.