In the above picture, notice that a new triangle is constructed in the larger triangle by connecting the midpoints of the sides of the larger triangle. This is called a medial triangle. In the above picture, this process was continued until it became difficult to draw.

Click here for a GSP script for constructing a medial triangle given the three vertices of a triangle.

Click here for a GSP script that constucts a medial triangle given the three vertices of a triangle and the medial triangle's orthocenter.