Pythagoras Fractal Tree
The Pythagoras tree is a plane fractal that is constructed from squares. A fractal is a geometrical figure in which each part has the same characteristic of the whole figure. Fractals are typically in recurring patterns where the objects progressively become smaller. An example of a fractal-like pattern would be a snowflake.
The Pythagoras tree is named after the Greek mathematician, Pythagoras because each triple of squares encloses a right triangle. The Pythagoras tree is simply another form of proving the Pythagorean Theorem.
The Pythagorean theorem states that the square of the length of the hypotenuse of a right triangle equals the sum of the squares of each of the lengths of either two sides.
When adjusting the slider, "Slide Me!", you will be able to see when the angles of the triangles, which are formed by the three squares in each triple, the squares begin to form a straight line. This is following the Pythagorean theorem and proving the theorem itself in a visual way.