Sacred geometry really "does" it for me so when I think-dome the trapeze design gives me much higher connection than the geodesic design: things feel like falling in place much easier... but really it may be just an impression. My intuition leads me to think that just the hexagon pattern or the dodecaedron patterns are usable. Then in the real world we'll have to consider the actual strut length and the solidity of the whole structure so that it doesn't get too heavy on the biggest facets.
Geodesic design will probably win every other design on big volumes... But I can still play a bit with pencil and paper before giving up the trapeze design.
Later I will go on, with a bit more time and bigger paper... all kinds of surprises are due to bloom this season!