Abstract: A dome structure is formed of a large number of identical arcuate segments secured together at the edges, with no additional visible structural members between base ends and apex ends of the segments. A reinforcing ring may be secured to the dome structure at the base ends of the segments, and another may be secured at the apex ends, if the apex or top end of the dome has an opening. In preferred embodiments the arcuate segments are formed of laminated wood, with a spline or other type of overlapped glued connection between adjacent segments. At the edges of the segments, angularity varies from virtually perpendicular at the apex end to a maximum deviation from perpendicular at the base ends, and this is addressed by a special method of shaping the segment edges.