Algebraic stack

An algebraic stack is like a special kind of math puzzle where we try to match shapes and equations together. Think of it like building a tower with building blocks, but the blocks have different shapes and sizes and we need to fit them together in a certain way.

Now, in this puzzle, the shapes represent different algebraic equations (which are like math sentences that have letters or symbols in them) and the tower represents our algebraic stack. We are trying to fit all the equations together in a way that makes sense and solves our math problem.

But here's the cool part – sometimes we can't solve the math problem with only one shape or equation. That's when we need to use multiple shapes to fit together and make a complete set of equations that work together. This is called a stack, because we are stacking all these shapes together like building a tower.

So an algebraic stack is like a puzzle where we are trying to stack different algebraic equations together in the right way to solve our problem. It's like building a tower with different sized building blocks, except with math equations.