I enjoy that in Rule 90 of cellular automata approximate Sierpinski triangles are also generated as a mod-2 version of pascal's:
https://en.wikipedia.org/wiki/Rule_90#Sierpiński_triangle
Some other rules also result in the generation of sierpinski's triangle. Fun stuff.
The wiki for chaos games has animated examples that make it pretty clear how it works for the sierpinski triangle: https://en.wikipedia.org/wiki/Chaos_game
I enjoy that in Rule 90 of cellular automata approximate Sierpinski triangles are also generated as a mod-2 version of pascal's: https://en.wikipedia.org/wiki/Rule_90#Sierpiński_triangle Some other rules also result in the generation of sierpinski's triangle. Fun stuff.