Quadfurcation

The path length in comparison to the vector length defines a length-tortuosity parameter. Trifurcations and quadfurcations can be expressed as segments without length.

Is it possible that architecture can mutate into equal parts GPS, abstract machine, event horizon, and vague placeform, a kind of quadfurcation of the purpose of building?

As a consequence, points are classified as loose, end- or midpoints, or as bi-, tri- or quadfurcations, depending on the number of direct neighbor points.