Shaping the back curvature

The piccolos have an arched back. Maybe a dome is stronger, or an arch going across the grain direction. But this is a small one piece back and all the piccolos I've made this far has held up even with bookmatched backs, so I'm prepared to say this works.
Far in the background you can glimpse the neck I carved yesterday. My wife has a standing invitation to watch me carve a neck in 15 minutes, but so far I'm alone while carving.
And in the foreground, Johans zombie-bot keeps one and a half eye on the progress.

Edit: the glue in the orange bottle is not used in instrument construction.