Rhombicuboctahedron Star on a Sphere
Pyramids are placed on the faces of a rhombic cuboctahedron with a ball at the tip of each pyramid. The pyramids can be placed on the surface of a central sphere having adjustable diameter. This is most probably the geometrical arrangement of a star on the top of a Lutheran church in Békéscsaba, Hungary.
A photograph of the church can be seen at the Wikipedia entry.