! New Idea for DOMES - hard to believe

I stumbled across this photo years ago and tucked it aside but upon seeing it again , it game me new ideas.
The worst thing about the pictured dome is that all the cups face to the outside.  That is bad so I thought about flipping everything around  and you get a beautifully smooth surface to work with that does not trap water.
The Beauty of the "cupped inwards approach"  is that we can build a dome with any flat material that can be folded or bent etc.   The cardboard photo is kind of goofy but what if it was space age composite or plastic etc or even sheet metal  of many varieties.   The geometric shapes will be easy to connect to their adjacent components  and the components will all be easily stackable  and inside each other if the folded edges are moveable. There might be a good bit of waste in making the geometric shapes but if we pick a material like metal then we can recycle the waste cutoff material.   So imagine making all those cardboard cutout components that are then creased and the flaps are bent over.  The cardboard model shown has large flaps but in any kind of stout material the flaps might only need to be an inch or inch and a half.  IF metal is used then we could use nuts and bolts to assemble.  Other materials could be using staples or glue  or some other kind of clamp.    So take a good look at the cardboard dome but reverse the dome pieces so the flaps face the inner side.  The flaps would have to be trimmed a little differently but that is a minor concern.  
PS.  How is it that we have no DOME category ? ?