It turns out that photographing a lit lamp is not as easy as I'd hoped, so please forgive the quality of the pix.
The star is about 7 inches. It's a "small stellated dodecahedron". It's made from this shimmery white cardstock that doesn't show up well in these pictures, but it really does shimmer. The bird is backed in blue foil. The leaves are backed in a couple layers of tracing paper. Inside the star is a balled up string of battery powered LED Christmas lights.
Thanks Craftster for inspiring me to finally do this!