I have been having fun trying to think of the different techniques for making such a lattice.
The fastest and possibly easiest I can think of would to start with the circular base, then placing it on a turntable and using a rod of the same color glass, a torch, and a metal rod with a hook on the end (likely having a assistant in there as well) heat the rod and touch it to the base to fuse the end, then heating a length of an inch or two of the rod to make it soft, use the metal rod with the hook to pull it upwards to form an inverted V while you are pulling down on the rod to touch and fuse it to the base an inch or so from the previous fusing, and work you way around the base to you wind up with a saw tooth pattern of the glass standing up from the base. Then go around again but this time fusing the heated rod to the tips of each of the lower row of inverted Vs. Repeat this all the way to the top where you fuse a ring of the glass to the tips of the top row.
Another more involved way might be to build a jig of perhaps one-third of the diameter and using cut 1 inch lengths from a glass rod, lay them in the jig and then using a length of the same glass rod just heat and fuse all of the ends together. Make three of these and if you have made your jig well the ends should match up well and you can then heat/fuse them together to make the full circle. Attach a solid base and a top ring to finish it off.
Does anyone know if these basket shapes used either of these methods or perhaps some other method to get the lattice design?