The picture just shows the ribs of the dome. Between the ribs will be filled in, so the dome will be a complete solid structure.
Steel would probably be cheaper as a rib structure.
One key is this will be made using lightweight concrete, which provides the insulation needed. So basically the entire structure is made of a single simple low-cost material.
The ribs essentially provide the base structure, and then the forms to complete the dome.
It seems many work on designs to build structures FASTER, which usually also means cheaper. My design is to build it SLOWER, which in effect is like using leverage, a longer build time with less immediate effort, and less man, material and equipment at once.
I primarly want to build this one house for myself, but certainly it can be easily duplicated once the full engineering specs are done. In particular, one could prefab the ribs and deliver them onsight and have just the fill done locally, like some prefab home business do for other types of homes, e.g. deltec
I just might try to contact a local bazillionaire developer and he can fund the engineering costs and do prefab, he invests in lots of startups, a friend used to work for one of them.