A braiding system, comprising: a drive unit (120; 130) including an outer assembly and an inner assembly, wherein the inner assembly is coaxially aligned with the outer assembly along an axis, wherein the inner assembly is positionned radially inward of the outer assembly relative to the axis, the braiding system characterized by the outer assembly including an outer cam ring extending around the axis and an outer plate coaxial with the outer cam ring and having outer slots, the outer assembly further including outer drive members radially aligned with the outer slots relative to the axis; the inner assembly including an inner cam ring extending around the axis and an inner plate coaxial with the inner cam ring and having inner slots, the inner assembly further including inner drive members radially aligned with the inner slots relative to the axis; wherein the number of inner and outer slots is the same, and wherein the inner assembly is rotatable relative to the outer assembly; a plurality of tubes (440a, 440b), wherein individual ones of the tubes are constrained within individual ones of the inner and/or outer slots; an outer drive mechanism configured to rotate the outer cam ring to move a first set of the outer drive members radially inward toward the axis to thereby move a first set of the tubes from the outer slots to the inner slots; and an inner drive mechanism configured to rotate the inner cam ring to move a first set of the inner drive members radially outward from the axis to thereby move a second set of the tubes from the inner slots to the outer slots. a drive unit (120; 130) including an outer assembly and an inner assembly, wherein the inner assembly is coaxially aligned with the outer assembly along an axis, wherein the inner assembly is positionned radially inward of the outer assembly relative to the axis, the braiding system characterized by the outer assembly including an outer cam ring extending around the axis and an outer plate coaxial with the outer cam ring and having outer slots, the outer assembly further including outer drive members radially aligned with the outer slots relative to the axis; the inner assembly including an inner cam ring extending around the axis and an inner plate coaxial with the inner cam ring and having inner slots, the inner assembly further including inner drive members radially aligned with the inner slots relative to the axis; wherein the number of inner and outer slots is the same, and wherein the inner assembly is rotatable relative to the outer assembly; the outer assembly including an outer cam ring extending around the axis and an outer plate coaxial with the outer cam ring and having outer slots, the outer assembly further including outer drive members radially aligned with the outer slots relative to the axis; the inner assembly including an inner cam ring extending around the axis and an inner plate coaxial with the inner cam ring and having inner slots, the inner assembly further including inner drive members radially aligned with the inner slots relative to the axis; wherein the number of inner and outer slots is the same, and wherein the inner assembly is rotatable relative to the outer assembly; a plurality of tubes (440a, 440b), wherein individual ones of the tubes are constrained within individual ones of the inner and/or outer slots; an outer drive mechanism configured to rotate the outer cam ring to move a first set of the outer drive members radially inward toward the axis to thereby move a first set of the tubes from the outer slots to the inner slots; and an inner drive mechanism configured to rotate the inner cam ring to move a first set of the inner drive members radially outward from the axis to thereby move a second set of the tubes from the inner slots to the outer slots.