If recursion still feels a little abstract, this Sierpinski Triangle walkthrough makes it click fast: Nice visual example of how a simple rule keeps splitting into the same shape over and over.
Sierpinski is the first recursion demo that ever felt real to me, because you can literally see the “do the same thing, just smaller” rule playing out.
And yeah, the base case is the safety rail. Without it you’re not doing math, you’re just setting your stack on fire.
Sierpinski is such a good “ohhh that’s recursion” moment because the rule is visible. Same triangle, just smaller, repeated until you hit the stop sign. I’m a big fan of throwing a depth slider on it too. Past a certain point the base case stops feeling like a cute concept and turns into “congrats, you invented a tab heater. ”