108 degrees is the internal angle of a regular pentagon, and cosine 108 degrees is
-0.30901699437, which is -1/2x 0.618033989, the reduced version of the Golden Ratio.
The number of neutrons, on the other hand is 162, close to 100x 1.618... approximating the larger value of the Golden Ratio.
270Hs has a deformed (egg-shaped) nucleus, yet is doubly magic (according to the article), and supposedly lies in a region of stability. Deformed nuclei will have different magic numbers than spherical ones do, as I detailed in some earlier posts.
Jess Tauber