The Sierpinski Triangle
One of the most famous fractals is the Sierpinski triangle. Here are the steps for creating it.
Step 1: Construct an equilateral triangle. Step 2: Construct the midpoints of the three sides and then construct segments connecting the midpoints. Step 3: Construct and connect the midpoints of the sides of the three "point up" triangles. Step 4: Again, construct and connect the midpoints of the sides of all the "point up" triangles.