NOVELTY - The tile assembly has tiles (100) having a matching, laterally repeating pattern (112,114). Each pattern has a main surface (130), two upper flanges (140), and two lower flanges (142). At least two inflection planes are positioned along the lateral apices of each pattern, extending perpendicularly to a lateral axis of the pattern and the main surface of the pattern. Each inflection plane is defined by transition planes of the upper and lower flanges and an adjacent portion of the lateral extent of the main surface.    USE - Tile assembly for installation on roof, such as diamond patterned roof.    ADVANTAGE - The tile assembly is visually attractive and contributes to a more laminar flow of wind over the roof to reduce wind resistance and provide improved resistance to high wind tile blow off and to avoid excessive noise along with enhancing the life of the roof against loosening from the effects of wind. A lower gusset acts to keep the abutting transition edges, and inflection edges together, which acts to reduce or minimize the space between the abutting transition edges, and inflection edges, thus reducing or minimizing the ingress of water through the space. Inclusion of inflection edges and oversized nail installation apertures permit installation despite structural variations of tiles in the manufacturing process and inaccuracies of alignment by the installer. The underlapping and overlapping flange structural support feature provides resistance to weight loads in snow conditions and in roof installation and maintenance.    DETAILED DESCRIPTION - Each flange includes an outer edge parallel to the pattern main surface and a radial contour. The transition planes extend between the outer edges of the upper and lower flanges (140,142) and the main surface (130) at the lateral extent of the pattern. The transition planes bend via radiused regions from the main surface to extend in opposite, generally parallel directions, to provide an inflected configuration. At each lateral extent of the tile, the inflection plane is also an inflection edge and comprises the transition planes of the upper and lower flanges which extend between the flanges outer edges and the main surface and includes the adjacent main surface edge.    DESCRIPTION OF DRAWING(S) - The drawings show a top view and a side view of a tile.    Tiles (100)    Patterns (112,114)    Main surface (130)    Upper flanges (140)    Lower flanges (142)