A mattress innerspring comprising a plurality of interconnected reverse coil head coils, each reverse coil head coil having: a generally helical coil body with a plurality of generally helical turns of wire (20a, 20b, 20c); a first coil end contiguous with a first end of the coil body and substantially lying in a plane which is generally perpendicular to an axis of the coil body; a second coil end contiguous with a second end of the coil body and substantially lying in a plane which is generally perpendicular to the axis of the coil body; each coil end (12a, 12b) comprising a first offset, a second offset, a terminal offset, and a terminal end (15a, 15b) which extends from terminal offset, wherein the offsets (13, 14, 15) are segments of the coil ends (12a, 12b) being formed to extend partially or entirely outside of the diameter of the coil body; the first coil end having the terminal end which is located on a first side of a reference plane which passes through the coil body; and the second offset which is located entirety on a second side of the reference plane which passes through the coil body; the second coil end having the terminal end which is located on the second side the reference plane which passes through the coil body; and the second offset which is located entirely on the first side of the reference plane which passes through the coil body; the plurality of reverse coil head coils being arranged in a matrix wherein the axes of the coils are generally parallel and the first coil ends are generally co-planar and the second coil ends are generally co-planar, the first coil ends of adjacent coils being laced together by a lacing wire, the lacing wire engaged with an offset of the first coil end of a coil and engaged with a terminal offset of the first coil end of an adjacent coil, and the second coil ends of adjacent coils being laced together by a lacing wire, the lacing wire engaged with an offset of the second coil end of a coil and engaged with a terminal offset of the second coil end of an adjacent coil, characterized in that the second offset of the coil ends (12a, 12b) has a stepped segment defined by connecting segments and transition segments and a stepped segment located between the connecting and transition segments (14b, 14c). a generally helical coil body with a plurality of generally helical turns of wire (20a, 20b, 20c); a first coil end contiguous with a first end of the coil body and substantially lying in a plane which is generally perpendicular to an axis of the coil body; a second coil end contiguous with a second end of the coil body and substantially lying in a plane which is generally perpendicular to the axis of the coil body; each coil end (12a, 12b) comprising a first offset, a second offset, a terminal offset, and a terminal end (15a, 15b) which extends from terminal offset, wherein the offsets (13, 14, 15) are segments of the coil ends (12a, 12b) being formed to extend partially or entirely outside of the diameter of the coil body; the first coil end having the terminal end which is located on a first side of a reference plane which passes through the coil body; and the second offset which is located entirety on a second side of the reference plane which passes through the coil body; the second coil end having the terminal end which is located on the second side the reference plane which passes through the coil body; and the second offset which is located entirely on the first side of the reference plane which passes through the coil body; the plurality of reverse coil head coils being arranged in a matrix wherein the axes of the coils are generally parallel and the first coil ends are generally co-planar and the second coil ends are generally co-planar, the first coil ends of adjacent coils being laced together by a lacing wire, the lacing wire engaged with an offset of the first coil end of a coil and engaged with a terminal offset of the first coil end of an adjacent coil, and the second coil ends of adjacent coils being laced together by a lacing wire, the lacing wire engaged with an offset of the second coil end of a coil and engaged with a terminal offset of the second coil end of an adjacent coil, characterized in that the second offset of the coil ends (12a, 12b) has a stepped segment defined by connecting segments and transition segments and a stepped segment located between the connecting and transition segments (14b, 14c).