In the zone: Hadid has handled her part of the Dome with ease

Hadid is not fretting or panicking. She's done her work. It's all down to the technicians now, sorting out the sometimes complex electronics contained - along with a big dollop of contemporary art - in her glowing, mirrored, tectonically fractured building. And it is a building, not just a piece of exhibition design.

Compared with some of Hadid's other neighbours - the constantly evolving Body Zone, the much redesigned Faith Zone, the totally reworked chill-out area of the Rest Zone, now a rainbow arch by Richard Rogers - the early sketch designs of Hadid's Mind Zone look pretty close to what has been built. Not bad going for an architect who was once regarded as a dangerous outsider - female, strong-minded and an Iraqi-born foreigner - by some of the very Millennium commissioners responsible for the Dome.

It is likely that there was a guilt thing going on; that Hadid, celebrated as the outright winner of the architectural competition for the controversially aborted Cardiff Bay Opera House (a Millennium project), was given a consolation prize in the Dome by the Establishment. But Hadid, though she still regrets the 1995 Cardiff fiasco, is not especially bothered as to whys and wherefores. She is now globally successful. She is building art museums in Rome and Cincinnati, a tram station in Strasbourg, a big bridge in Abu Dhabi and a small but significant one linking faculties of the University of North London across the Holloway Road. She has designed the touring stage set for the intellectual disco-popsters the Pet Shop Boys and has completed a permanent garden festival exhibition building for the German town of Weil, outside Basel. All this, and the Mind Zone.