A conical segment for a tower, the conical segment comprising: a first curved sheet having a pair of first longitudinal edges, a mating edge, and an alignment edge, the pair of first longitudinal edges parallel to one another, and the mating edge and the alignment edge together defining a nonlinear path between the pair of the first longitudinal edges; and a second curved sheet having a pair of second longitudinal edges a first lateral edge, a mating edge, and an alignment edge on an opposite second lateral edge, the pair of second longitudinal edges parallel to one another, the first lateral edge extending between the second longitudinal edges, the mating edge and the alignment edge together defining a nonlinear path extending between the second longitudinal edges, the first curved sheet and the second curved sheet joined to one another end-to-end along a lateral seam formed by the first lateral edge of the second curved sheet and the mating edge of the first curved sheet, one of the first longitudinal edges of the first curved sheet and one of the second longitudinal edges of the second curved sheet joined to one another along a first spiral seam, extending circumferentially about a longitudinal axis defined by the conical segment, the alignment edge of the second curved sheet and another one of the second longitudinal edges of the second curved sheet defining a portion of a second spiral seam extending circumferentially about the longitudinal axis defined by the conical segment, and the first curved sheet and the second curved sheet joined to one another at a T-shape intersection of seams including the first spiral seam, the portion of the second spiral seam, and the lateral seam. a first curved sheet having a pair of first longitudinal edges, a mating edge, and an alignment edge, the pair of first longitudinal edges parallel to one another, and the mating edge and the alignment edge together defining a nonlinear path between the pair of the first longitudinal edges; and a second curved sheet having a pair of second longitudinal edges a first lateral edge, a mating edge, and an alignment edge on an opposite second lateral edge, the pair of second longitudinal edges parallel to one another, the first lateral edge extending between the second longitudinal edges, the mating edge and the alignment edge together defining a nonlinear path extending between the second longitudinal edges, the first curved sheet and the second curved sheet joined to one another end-to-end along a lateral seam formed by the first lateral edge of the second curved sheet and the mating edge of the first curved sheet, one of the first longitudinal edges of the first curved sheet and one of the second longitudinal edges of the second curved sheet joined to one another along a first spiral seam, extending circumferentially about a longitudinal axis defined by the conical segment, the alignment edge of the second curved sheet and another one of the second longitudinal edges of the second curved sheet defining a portion of a second spiral seam extending circumferentially about the longitudinal axis defined by the conical segment, and the first curved sheet and the second curved sheet joined to one another at a T-shape intersection of seams including the first spiral seam, the portion of the second spiral seam, and the lateral seam.