Tile and tile assembly for a roof

A tile assembly for a diamond patterned roof, for installation on a roof extending in a plane inclined downwardly from the roof line, the tile assembly comprising:

• two, left and right, center tiles, each tile having a generally diamond shaped main surface disposed in a plane parallel to the roof plane and having upper and lower vertical apices spaced along an axis perpendicular to the roof line and left and right lateral apices spaced along an axis parallel to said roof line, wherein each tile has six sides in a plan view and the main surface is flat throughout;
• two upper flanges extending peripherally directly from the main surface between its upper apex and its lateral apices, each upper flange extending upwardly and outwardly at an obtuse angle in a first direction from the main surface and having an outer edge parallel to the main surface and a transition edge extending between the outer edge and the main surface, the upper flange edges being joined at an upper flange apex;
• two lower flanges extending peripherally directly from the main surface between its lower apex and its lateral apices, the lower flanges extending downwardly and outwardly at an obtuse angle in a second direction from the main surface and having an outer edge parallel to the main surface and a transition edge extending between the outer edge and the main surface, the lower flange edges being joined at a lower flange apex;
• two inflection edges, positioned at the lateral apices of each tile, each inflection edge defined by the transition edges of the upper and lower flanges and an adjacent portion of the main surface, each inflection edge extending in a plane generally perpendicular to the main surface, wherein the left and right center tiles abutting at their adjacent inflection edges;
• an upper tile having the same configuration as each of said center tiles and that is positioned with its two lower flanges overlapping the two adjacent upper flanges of the two center tiles;
• and
• a lower tile having the same configuration as each of the center tiles and that is positioned with its two upper flanges underlying the two adjacent lower flanges of the two center tiles.

A tile comprising:

• a generally diamond shaped main surface with upper and lower vertical apices spaced apart along a vertical axis and left and right lateral apices spaced apart along a horizontal axis, wherein the main surface is flat throughout and the tile has six sides in a plan view;
• two upper flanges extending peripherally directly from the main surface between its upper apex and its lateral apices, each upper flange extending upwardly and outwardly at an obtuse angle in a first direction from the main surface and having an outer edge parallel to the main surface and a transition edge extending between the outer edge and the main surface, the upper flanges being joined at an upper flange apex;
• two lower flanges extending peripherally directly from the main surface between its lower apex and its lateral apices, the lower flanges extending downwardly and outwardly at an obtuse angle in a second direction from the main surface and having an outer edge parallel to the main surface and a transition edge extending between the outer edge and the main surface, the lower flanges being joined at a lower flange apex;
• two inflection edges positioned at the lateral apices of each tile, each inflection edge defined by the transition edges of the upper and lower flanges and an adjacent portion of the main surface, each inflection edge extending in a plane generally perpendicular to the main surface;
• and
• two semi-circular notches, one in each upper flange in the region thereof defining the inflection edge.