Symmetric variety

Okay kiddo, imagine you have two toys that look exactly the same - one is a red ball and the other is a blue ball. They both have the same shape and size, right? That's kind of like what a "symmetric variety" is!

In math, a "symmetric variety" is a type of geometric object that has a special property called "symmetry." That means if you look at one side of the object, and then look at the other side, they look the same! Just like how the red ball and the blue ball in our example have the same shape and size.

So imagine you have a bunch of different toys that all have this same symmetry property - maybe a green cube, a yellow pyramid, and a purple cylinder. These toys together would make up a "symmetric variety" because they all share this special property of symmetry.

Now, symmetric varieties can get a little more complicated when we talk about them in math terms, but hopefully this gives you an idea of what they are in a simple way!