Tessellation: The Amazing World of Shapes That Fit Together!

Imagine you have lots of identical tiles, like square ones for your bathroom floor. If you put them together so they touch all around and don't leave any empty spaces, that's a tessellation! It's like a party where every shape has a perfect spot and no one is left out.

Circles can't tessellate by themselves because they leave little gaps, but squares, hexagons, and triangles are great at it. They're like the best party guests who always fit in!

People have loved tessellations for a super long time. Ancient Romans and Greeks used them to decorate their floors with beautiful patterns made of tiles. Later, artists like M.C.

Escher became famous for drawing amazing pictures where shapes changed into other shapes, all fitting together perfectly. Think of a bird tessellation where the birds' wings become the bodies of other birds! It shows that even thousands of years ago, people were fascinated by how shapes could play together.

Tessellations are everywhere! Look at a honeycomb – it’s made of hexagons that fit together perfectly to store honey. That's a natural tessellation!

Your kitchen or bathroom tiles are probably tessellating right now. Even some animal scales or patterns on butterfly wings can look like tessellations. They show us how nature and humans use simple shapes to build strong, beautiful, and efficient things.

It’s like nature’s way of solving a puzzle!

For shapes to tessellate, their corners must meet at a point and add up to exactly 360 degrees. Imagine standing at a point where several shapes meet. If you spin around, you should make a full circle.

For example, three hexagons meeting at a point make 120 + 120 + 120 = 360 degrees. Four squares meeting at a point make 90 + 90 + 90 + 90 = 360 degrees. It's like a secret handshake for shapes to make sure they fit!