Methods for forming a tubular braid are described. The method for braiding includes providing a braiding mechanism including a disc, a mandrel, and a plurality of actuators. The disc defines a plane and a circumferential edge and the mandrel extends from a center of the disc. A plurality of filaments are loaded on the mandrel, each extending radially toward the circumferential edge and contacting the disc at a point of engagement. The plurality of actuators are operated to engage and move a first subset of filaments in a generally radial direction to a position beyond the circumferential edge. The disc or the engaged first subset are rotated relative to one another, thereby crossing the first subset over a second subset of filaments. The actuators are then operated to move the first subset to a radial position on the circumferential edge different from its previous point of engagement.