Roof tiles and roof tile structures and methods of making same

A roof tile comprising:

• a foam core member having at least one arcuate section, a core member upper surface having a width bounded by an upper surface first lateral edge and a spaced-apart upper surface second lateral edge and a length bounded by a first end edge and a spaced-apart second end edge, a core member lower surface opposing and spaced apart from said core member upper surface and having a width bounded by a lower surface first lateral edge and a spaced-apart lower surface second lateral edge and a length bounded by said first end edge and said second end edge where the distance between said core member upper surface and said core member lower surface determines the thickness of said foam core member at any point and wherein said thickness varies along said core member length whereby a plurality of tiles can nest within each other in overlapping relationship, a first core member side wall bounded by said upper surface first lateral edge and said lower surface first lateral edge, a second side wall which is a mirror image of and spaced apart from said first side wall and bounded by said upper surface second lateral edge and said spaced-apart lower surface second lateral edge, a first end section adjacent to and including said first end edge, a second end section adjacent to and including said second end edge, a first slot formed in said first end section between said core member upper surface and said core member lower surface, said first slot having a closed slot end and opposing spaced-apart first and second slot surfaces, wherein said first slot surface and said core member lower surface define a first major end extension member having a distal end, and wherein said second slot surface spaced apart from and opposing said first slot surface and said core member upper surface define a first minor end extension member that is shorter than said major end extension member and having a distal end that extends beyond said closed slot end, but not as far as said distal end of said first major end extension member, a second slot formed in said second end section between said upper core surface and said lower core surface having a closed slot end, and opposing spaced-apart first and second slot surfaces, wherein said first slot surface and said upper core surface define a major end extension member having a distal end, wherein said second slot surface and said core member lower surface define a minor end extension member, that is shorter than said major end extension member, and has a distal end that extends beyond said closed slot end, but not as far as said distal end of said major extension member;
• a strengthening material applied to said foam core member upper surface, said foam core member lower surface, said first slot first surface, said first slot second surface, said second slot first surface and said second slot second surface;
• and
• a cement-based protective coating covering said foam core member upper surface, said foam core first end section and said foam core second end section, and filling said first slot and said second slot forming a first L-shaped flange at said first end section and a second L-shaped flange at said second end section.