Well, I now have a new phrase to add to my lexicon - "horizontal construction". Admittedly not the same as going vertical, but it seems to be a precursor.
Developer talks Museum District's upcoming artsy high-rise
"...Featuring an artsy, helix design, the luxury 42-story tower is planned for the Museum District, just northwest of the 35-story Parklane on Hermann Drive. Houston-based Tema expects to begin horizontal construction in October..."