Fractal Patterns

The Binary Tree
An ever increasing amount of branches

The Sierpinski Gasket.
An ever repeating pattern of triangles

The Program Code for Winlogo:

There are many fractal patterns available on the internet. This is not an attempt to emulate these sites. These fractals can be made in the classroom using winlogo. The sierpinski gasket can be made using nothing more than an understanding of the formula to calculate the midpoint of a line.

The binary tree is simply a pictorial expression of 2ⁿ⁺¹