I have been working on generalizations of a problem in enumerative geometry:

Given four lines in general position, find all lines that meet those given lines in a point.

In general, there are two solution lines. We first consider a special configuration: three of the four given lines (draw in orange) meet each other in a point. The solution lines are drawn in grey.

If you want to know how these images were made, click on the link to the html produced from a Maple worksheet