Thanks to feng_shui_house for telling us about the Planar Symmetry webapps yesterday; I've been playing around with them. Not very skillfully... the nicest ones for the wallpaper ended up being the ones I did with ovals, rather than my feeble hand-drawing skills.

BUT. I found if I squiggled on purpose rather than trying to draw smooth lines, that seemed to work better. So I played around with the Rosettes one, and managed to get these four pretty flowers out of it.