This shape can be described a few different ways. It's 12 stars, joined at the tips; 20 icosahedron cups joined at the edges; 6 crimped hoops that form a cage. The inner surface of the sphere is an icosidodecahedron, surrounded by 60 thin ribs.
Twice the size of the original 12 Star Ball; the walls are half as thick relative to the edge length.
This shape was designed by calculating the vectors on paper, then rendered using OpenSCAD.
Diameter is 11.2 cm (4.4 in).
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