Thank you, all, in spite of a very small photo (a close-up of a bigger photo, not enough pixels)! Oron, you are a genius, it is Euryops virgineus for sure! What is this hormone thing, how does it work? I bought the plants in a very small garden center-nursery, where they grow their own stuff, mostly pelargoniums and other small flowering plants. Of course I avoid buying things that are completely unlabelled, but the plants were really pretty, evergreen, and the shrub seems very healthy and drought-tolerant.