Okay kiddo, have you ever played with those square tiles that you can fit together like a puzzle to make a picture or a shape? That's kind of like what a mathematical tile is, but instead of being a picture, it's a pattern made up of shapes like triangles, squares, and hexagons.
Mathematical tiles are really cool because you can use them to make designs that repeat over and over again without ever getting boring. You can also use them to help you learn about things like symmetry (where things look the same when you turn them upside down or flip them around).
Some famous examples of mathematical tiles can be found in old buildings like churches and castles. People would use these tiles to make fancy patterns on the floors and walls. Nowadays, people still use mathematical tiles for design and decoration, but they're also useful for things like making computer graphics and designing real-life structures. Pretty neat, huh?