Manifestation of a Line

For any given 3 dimensional polyline, it is by no means guaranteed that a polygonal sweep along this line will fully connect to itself.  In fact, it is very difficult to design a polyline whose angles will collectively result in a closed meeting of points. The sweep, or manifestation, of the line is vital to the line's existence in the physical world. With a combination of computer scripting and welding, we explore these constraints. In this iteration, the line and its points connect perfectly, however if you track one of the secondary edges, you find that it twists off of its original starting corner.