@TechConnectify I remember back in the 80s there was a kid who got a little famous because he won a Science Fair, and his idea was so brilliant that it got him on a TV talk show. People were talking about it and there were experts saying that it was a good idea, but then we never heard of it again.
So his idea was to shape the roof a house like stair steps, and the top of the "step" was painted white and the front was painted black. That way when the sun shone on the roof in summer, it would bounce off of the white paint, and in the winter when the sun is lower in the sky, the light would strike the front and be absorbed by the black paint.
My admittedly aging memory is telling me that he may even have applied for a patent, but it was a long time ago. There must be something wrong with this idea or else we would have seen it, but I can't think of what it might be.

@ambulocetus Honestly I think this goes too far against the fundamentals of water-tight and long-lasting rooftops to be worth pursuing

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@TechConnectify Well when I describe it as "stairs", it's not really like big stairs like going upstairs stairs. That's just like a short-hand way to think about it. Think like closer to one of those little 3D pictures that are two different pitures depending on from which angle it is viewed. But not quite that small.
So it could be manufactured as a single sheet that goes right over the existing roof

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