***
Hi RescoCCC.
Attached is an image of the paperweight I mentioned, plus a close-up of some canes. Mine is 3 1/16 inch / 78 mm diameter; it has a white ground.
The first cane image shows the 'starfish' cane: it has a central circular tube, with 5 stubby arms. What makes it distinctive is that it appears to be formed not by moulding, but by adding blocks of white glass to the white tube - quite an unusual technique. The same technique is also used for some six armed canes, but the five armed version appears throughout the family of 'starfish' paperweights, often accompanied by a cane in pink/white/blue made of concentric square tubes.
The second cane image shows three different canes from this paperweight that share a similar design structure: circular tubes or canes grouped around a central core, then surrounded by clear glass, then with a layer of white glass, and finally an outer coloured shell. This is not unknown elsewhere, but is fairly uncommon. What intrigues me is that the same design occurs in your paperweight, both in the blue canes in the outer ring and the pink inner ones - maybe the red too, but it is hard to see.
Alan