Hear the word vector, and an illustration from an old geometry textbook may come to mind. But instead imagine this: what if rather than slicing across paper, a vector emerged from within a body? What if instead of being flat and solitary, that vector manifested itself in different bodies with various histories of movement, how would that line be carried into three-dimensional space?This is precisely what choreographer Julia K. Gleich and producer Lynn Parkerson intended to explore in Quilt, which will premiere at Brooklyn Ballet's 2013 season titled In 4D, February 28-March 10 at the Actors Fund Arts Center. Quilt is a transatlantic collaboration between the two choreographers, the former living in London, the latter here in Brooklyn. Their collaboration began after Parkerson, the artistic director of the Brooklyn Ballet, expressed interest in Gleich’s studies into a vector-based system for creating dance.