Affine bundle

An affine bundle is a special kind of package that has two parts: one part is called the base space, and the other part is called the fiber. Think of it like a present with a pretty box and a special toy inside.

The base space is like a fancy box, and it tells you where everything in the package is going to be. So, for example, if you're sending a package to your friend Sarah, the base space is going to be Sarah's house.

The fiber, on the other hand, is like the special toy inside the package that you're sending to Sarah. It's something that is unique to her and makes her package different from everyone else's.

Now, the cool thing about an affine bundle is that it's very flexible. You can change the base space to a different location or change the toy inside the package, and the affine bundle still works. It's like you can change the box or the toy, but the present is still a present.

So, in math terms, an affine bundle is a mathematical object that helps us understand how different geometric shapes can change in a flexible way. Think of it like a toy that can change its shape, but it's still a toy.