This has 12 radial segments. I used a chunk of torus to do the notch.
The ball on top is a rhombic dodecahedron. It’s a very interesting shape. 12-sided, made of rhombus faces, in contrast to the platonic dodecahedron, made of pentagon faces. Here’s a rendering with the wireframe modifier.
I’ve been fascinated by this polyhedron for a long time, and wanted an excuse to use it.