A snow sock, comprising: a covering that extends in a circumferential direction around a central axis, wherein the covering has a width that extends in an axial direction, and wherein the covering has a thickness that extends in a radial direction, wherein the covering has an outer surface, wherein the outer surface is uncovered across the entire width of the outer surface along at least some portion of extent of the covering in the circumferential direction; a first thickness section that extends in the circumferential direction along a first arc length that is at least 5 degrees, wherein the first thickness section is carried by the covering, wherein the first thickness section has a first thickness section inner surface that engages the outer surface of the covering, wherein at least 50% of the first thickness section inner surface engages the outer surface of the covering, a first fill element, element, or a combination of the outer surface of the covering and the first fill element, wherein the first thickness section has a straight first thickness section leading terminal end that extends across the entire width of the outer surface and is substantially parallel to the axial direction; and a second thickness section not contacting and spaced from the first thickness section in the circumferential direction, wherein the second thickness section extends in the circumferential direction along a second arc length that is at least 5 degrees, wherein the second thickness section is carried by the covering, wherein the second thickness section has a second thickness section inner surface that engages the outer surface of the covering, wherein at least 50% of the second thickness section inner surface engages the outer surface of the covering, a second fill element, or a combination of the outer surface of the covering and the second fill element, wherein the second thickness section has a straight second thickness section leading terminal end that extends across the entire width of the outer surface and is substantially parallel to the axial direction characterized in that the covering is a single covering segment that has a leading portion and a tailing portion that are attached to the first thickness section, wherein the leading portion has an arc length that extends 5 degrees, and wherein the tailing portion has an arc length that extends 5 degrees, and wherein the second thickness section is attached to the single covering segment at a location spaced from the leading portion and from the tailing portion in the circumferential direction. a covering that extends in a circumferential direction around a central axis, wherein the covering has a width that extends in an axial direction, and wherein the covering has a thickness that extends in a radial direction, wherein the covering has an outer surface, wherein the outer surface is uncovered across the entire width of the outer surface along at least some portion of extent of the covering in the circumferential direction; a first thickness section that extends in the circumferential direction along a first arc length that is at least 5 degrees, wherein the first thickness section is carried by the covering, wherein the first thickness section has a first thickness section inner surface that engages the outer surface of the covering, wherein at least 50% of the first thickness section inner surface engages the outer surface of the covering, a first fill element, element, or a combination of the outer surface of the covering and the first fill element, wherein the first thickness section has a straight first thickness section leading terminal end that extends across the entire width of the outer surface and is substantially parallel to the axial direction; and a second thickness section not contacting and spaced from the first thickness section in the circumferential direction, wherein the second thickness section extends in the circumferential direction along a second arc length that is at least 5 degrees, wherein the second thickness section is carried by the covering, wherein the second thickness section has a second thickness section inner surface that engages the outer surface of the covering, wherein at least 50% of the second thickness section inner surface engages the outer surface of the covering, a second fill element, or a combination of the outer surface of the covering and the second fill element, wherein the second thickness section has a straight second thickness section leading terminal end that extends across the entire width of the outer surface and is substantially parallel to the axial direction characterized in that the covering is a single covering segment that has a leading portion and a tailing portion that are attached to the first thickness section, wherein the leading portion has an arc length that extends 5 degrees, and wherein the tailing portion has an arc length that extends 5 degrees, and wherein the second thickness section is attached to the single covering segment at a location spaced from the leading portion and from the tailing portion in the circumferential direction.