Op. The greenhouse was closed, hence I hadn't a chance to photograph the place. There are too many details about that place, and I only shared the pieces that I've had chance to thoroughly visit.
As far as I'm aware, the Barbican Conservatory (Greenhouse) will close for refurbishment at a point next year though. When you go currently, they'll have details of the plans for public consultation. So see it while you can (or then again in 2030 or so).