First, a complex curve is one which moves in 1 or more directions and can have 1 or more "loops". The left practice drawing moves in many directions and has 1 loop. Points were placed between 1/8" and 1/4" (gestimating). With a total of 189 points, the first connection beginning at the top is from point 1 to 63. It is very important to concentrate on the direction of movement (red arrow) which takes some getting used to, especially where more than 1 loop occurs. It is easy to get lost going around a loop and looking for your next connection point. We thought of a train's engine (beginning point) and it's caboose last point used) to help our movements. The first step was to practice drawing complex curves (right). The chosen one was sketched to fit a 12"X18" format. Then, the fun began. If you would like a small practice try some 8 1/2"X 11" sketches of your own, or download this one (Right click>Print), get a sharp pencil and ruler and go for it! | 
Finished complex curves can be viewed HERE where delicate and diverse line formations were created.
