A fractal is a geometric figure in which each part has the same characteristics as the whole. Two examples of fractals are shown below.

The applet below shows the first two steps of fractal involving a regular triangle. You need to find the area of the following....
(Use the distance/length tool to get side lengths of triangles)
1. The first step in the fractal (main triangle)
2. The second step in the fractal (main triangle + 3 little triangles)
3. Use the fractal tool to create the next step in the fractal. (Select the tool, then click on each of the little triangles) The find the area of all the triangles together.
4. (Optional) Create a fractal with at least 4 steps involving a regular polygon other than a triangle.