This is an interesting solution for large items but there are a few very
significant points that everyone is missing.
1) Jewelry parts are very small. Your solution would have 24 tiny segments
that would have to be held in position and joined together.
2) The materials are expensive so most parts have to be very light weight.
Light weight means very thin parts so there is little room for alignment
errors.
3) Many components are smooth and shiny. Joints are a pain and best avoided
or at least discuised or hidden.
4) Several solutions in this topic have suggested welding. Welding is
rearely used except for laser welding in hidden areas. Welded surfaces are
rather rough and thick so they present finishing problems and often increase
the weight of the piece. Most joints are made by 'soldering' which is
actually brazing.
The best method for making spheres for jewelry depends a lot on the quantity
being produced. Small quantities can be made by hand by using a dapping
block and spherical punches to make hemispheres. These can be soldered
together relatively easily. Larger quantities can be made on a press by a
similar process, fixtured on graphite boards, and soldered in belt furnaces.
Very large quantities of one hole beads or spheres can be made by combining
multi stage press forming and rolling. Two hole beads are made by forming
tubing followed by rolling. And finally, spheres can be electroformed on
plastic spheres. Most of these techniques require long production runs to
justify the equipment costs.
The biggest problem in making jewelry is often holding the small parts while
you work on them.
Roger