Pythagoras tree (fractal)

Have you ever seen a tree that isn't made of wood and leaves? The Pythagoras tree is a super special picture made entirely of squares! It looks like a tree because it starts with one big square, and then smaller squares grow out of it, like branches.

It's a kind of 'fractal', which means it has patterns that repeat over and over, getting smaller and smaller. It's like a never-ending puzzle made of shapes!

This cool square tree wasn't found in a forest. It was invented by a clever math teacher named Albert E. Bosman way back in 1942.

He named it after a very old and famous mathematician named Pythagoras. Pythagoras lived a super long time ago and discovered important things about triangles. The squares in this tree are arranged in a special way that reminds people of Pythagoras's discoveries about right triangles.

This tree is more than just a pretty picture. It shows us how math can be used to create amazing patterns. When you look closely, you can see that the squares are arranged to make right triangles. This is like a secret code that shows off a famous math rule called the Pythagorean theorem. It's a way to see math come alive in a fun, visual way that's easy to understand.

The Pythagoras tree grows by following a simple rule. You start with a big square. Then, on top of that square, you draw a right triangle.

On the two shorter sides of that triangle, you draw two new, smaller squares. You keep doing this over and over, adding more and more squares to the sides of the triangles. Each new square is smaller than the one before it, making the tree look like it's branching out!