Here is my latest segmented box. Through a series of oopses, I ended up with a lid whose lip goes on the inside instead of the typical suction fit, but it seems to work. Sanded to 600 grit. Buffed with carnuba wax.
Fine looking box, Ned. Is the join at the bottom of the second ring down from the top? The finish is very nice for just wax. It looks a bit like a vase positioned upside down; a finial of some sort might alter that notion (?).
My idea [as a serious novice], if you need to retain the visual flow of a segmented piece, would be to use to same woods, and do a vertical segmented finial and /or a vertical spiral; or maybe a vertical, helical. Whew! That calls for a sip.