Nuclear pasta

Their models may be wrong, and the details may turn out to not quite work, but you must salute the sense of humor of the researchers trying to calculate how the crusts of a neutron star could crack or break.

The crust might break if something falls into the star, or if in-falling debris slowly piles up into a tiny mountain. "How large a mountain can you build on a neutron star before the crust breaks and it collapses?"