Abstract: Inherently strong multiplicity of unique, planar, triangular roof truss frames or panels assemble into a replete, self-supporting roof system useable on a wide variety of building shapes and roof slopes. Compound angles on edges of truss panels facilitate connecting panels directly to each other either face-up and/or faced-down. Combinations of triangular trusses create domed, even-sided hipped roof structures, and also form ridges, eaves, valleys, dormers and overhangs. Compound angles used to construct triangular roof trusses are unique to the shape (number of sides) of the building and the roof slope (pitch) desired but can be used to design and build a diverse collection of building styles. Half trusses create gable ends on roofs; special trusses connect different geometric shapes; roof pitch can be changed part way up many roofs.