Okay little buddy, have you ever seen a triangle before? It's a shape with three sides, kind of like a pizza slice, but with straight lines instead of yummy crust.
Now, grown-ups who like math study something called "cubic equations," which are like fancy math puzzles that involve shapes called "cubics." And if you make a specific kind of cubic that goes through the three points of a triangle, we call it a "triangle cubic."
Scientists and mathematicians have been studying triangle cubics for a long time, and they've found that there are lots and lots of different kinds of them! It's kind of like having a toy box full of different types of toys - some are big, some are small, some are bouncy, and so on.
So people who study math have made something called a "catalogue" of all the different types of triangle cubics they've found. It's like a big list or book that tells you about each type of cubic and how it works. They use this catalogue to study and learn more about math and triangles and shapes and all sorts of clever things.
And that, kiddo, is how they keep track of all the different triangle cubics in the world!