Abstract: The invention uses flat, transparent or opaque plastic sheets to build curved structures that are used in constructing habitable buildings. The curved structure is divided into sections using a Computer Assisted Drafting program. The plastic sheets are cut into sides and top and bottom panels by a Computer Assisted Manufacturing program. The sides are joined to form a frame. The sides have curved upper and lower edges that match the curvature of the structure. The top and bottom panels are placed on the frame formed from the sides and bent to match the curvature of the sides. The panels are joined to the sides. The sections are joined together to form the curved surface. The curvature can be either outwardly curved or inwardly curved. The curvature can change in different portions of the structure.

Abstract: In an arcuate roof section including a series of rafters which each define an exposed end of the prescribed height, a device positionable along the exposed ends of the series of rafters to define an arcuate facia. The device comprises at least one facia member having an arcuate inner surface, an arcuate outer surface, a top edge and a bottom edge. The inner surface of the facia member is configured to abut the exposed ends of the rafters such that the outer surface defines the arcuate facia. Additionally, the width between the top edge and the bottom edge of the facia member exceeds the height of the exposed ends. The facia member may be formed from a plurality of laminated wood members or formed from bonded particulate matter. Additionally, the facia member may be formed from a plastic material.

Abstract: The invention uses flat, transparent or opaque plastic sheets to build curved structures that are used in constructing habitable buildings. The curved structure is divided into sections using a Computer Assisted Drafting program. The plastic sheets are cut into sides and top and bottom panels by a Computer Assisted Manufacturing program. The sides are joined to form a frame. The sides have curved upper and lower edges that match the curvature of the structure. The top and bottom panels are placed on the frame formed from the sides and bent to match the curvature of the sides. The panels are joined to the sides. The sections are joined together to form the curved surface.

Abstract: A geodesic dome is created by the steps of: (a) generating a mathematical model of a geodesic dome, (b) fabricating components with which to form a geodesic dome according to the model; and (c) fastening the components to each other according to the model. In the model, M base triangles are generated in a closed three-dimensional shape. M is at, least four, with eight being preferred and the preferred closed three-dimensional shape being a regular octahedron. The closed three-dimensional shape has a center point from which each vertex of each of the base triangles is equidistant, this distance being a geodesic radius. Each leg of each base triangle is then subdivided into N segments of equal length, N being at least two, with eight being preferred, thus defining N+1 segment endpoints or intersections along each leg. A line is then generated between each intersection and two corresponding intersections, thus defining N2 smaller triangles per base triangle.

Abstract: In an arcuate roof section including a series of rafters which each define an exposed end of the prescribed height, a device positionable along the exposed ends of the series of rafters to define an arcuate facia. The device comprises at least one facia member having an arcuate inner surface, an arcuate outer surface, a top edge and a bottom edge. The inner surface of the facia member is configured to abut the exposed ends of the rafters such that the outer surface defines the arcuate facia. Additionally, the width between the top edge and the bottom edge of the facia member exceeds the height of the exposed ends. The facia member may be formed from a plurality of laminated wood members or formed from bonded particulate matter. Additionally, the facia member may be formed from a plastic material.