Math can be shocking!...
...that is the point RJ Lipton makes in another wonderful post, this time on certain "shocking" results in the analysis of spherical constructions. There's some higher-level, abstract math involved here, but even without fully knowing/understanding it, one can sense the 'shocking' quality of these ideas/conclusions:
(...an interesting short side-note is included too, on brilliant mathematician Steven Smale once having his government funding retracted for having stated that he did his best work "on the beaches of Rio." :-))