ELI5: Explain Like I'm 5

Hexagonal tiling

Okay kiddo, have you ever played with blocks or tiles that fit together like a puzzle? Well, hexagonal tiling is just like that, but with shapes that have six sides, like honeycomb cells or a beehive.

Imagine a big shape with a bunch of smaller shapes inside of it, all fitting together perfectly with no gaps in between. These smaller shapes are all hexagons, and they are arranged in a way that creates a repeating pattern. This pattern can go on forever and ever, which is pretty cool!

Another way to think about it is like a quilt. You know how a quilt is made up of a bunch of squares or rectangles that are all sewn together to make one big blanket? Hexagonal tiling is kind of like that, but instead of squares, we use hexagons. And instead of sewing them together, we just place them next to each other so that they fit perfectly.

Hexagonal tiling can be found in lots of different places in nature, like on the wings of some insects and in the patterns on certain rocks. People also use hexagonal tiling in art and design because it looks really cool and can create interesting shapes and patterns.

So, there you have it! Hexagonal tiling is just a fancy way of saying that we put a bunch of hexagons together to make a pattern. It's kind of like a puzzle, but with shapes that have six sides. Cool, huh?