Methods of braiding using a braiding mechanism are described. The braiding mechanism includes a disc defining a plane and a circumferential edge, a mandrel extending from a center of the disc that is adapted to hold a plurality of filaments extending radially from the mandrel toward the circumferential edge of the disc, a plurality of catch mechanisms positioned circumferentially around the edge of the disc, a plurality of actuators adapted to move the plurality of catch mechanisms in a substantially radial direction relative to the circumferential edge of the disc, and a plurality of filaments extending radially from the mandrel towards circumferential edge of the disc. A middle portion of each filament of the plurality of filaments contacts an end of the mandrel.