Toric stack

Imagine you have a bunch of colored building blocks, like Legos. You want to build a tower, but some of the blocks are shaped weirdly and don't fit together nicely. This can be frustrating because you really want your tower to be perfect.

Now, think of a toric stack as a tower made up of these challenging building blocks. It's not just one tower, though. It's a whole bunch of different towers, each made up of different combinations of blocks. But instead of just one person building each tower, many different people are working together to build them.

Each tower is called a "stack" and is made up of building blocks that are called "toric varieties." These toric varieties are like the challenging building blocks we talked about earlier - they don't fit together nicely like the standard blocks.

But when you put them together in just the right way, they form beautiful and complex towers. These towers have a lot of mathematical properties that make them interesting and useful to study.

Overall, a toric stack is a collection of these towers made up of toric varieties that don't fit together nicely at first, but come together beautifully in the end with the help of many different people working together.