Gluing the strips with diluted PVA glue, to have time to handle them before everything sticks to my fingers and to have a thin joint.
I had to build this jig to glue the strips with taper. Not a perfect system though: the strips tend to slip upwards when I applied pressure with the clamps.
Cuttings tiles with a super fine teeth saw, 0.25 mm. I bought in woodcraft very inexpensive. Works fine for this job.
I pre glued the rings before attempt to assemble all components. I used a routed board to try the fit. The taper in the tiles weren’t perfect, so a did this thick for first time and worked well: I sprayed some water on top of the non glued rosettes components, and the tiles swell so no gaps were left. It stayed like that after dried out.