Last week, New Scientist reported that a neutrino detector called IceCube, once constructed, might just do exactly that.
Because the Earth rotates, we read, distant neutrino sources – such as black holes – will be blocked at certain predictable moments by the Earth's core; piecing together all these temporary blindspots, we can then infer the shape of the core itself.
It's an absence that generates absences elsewhere.
According to The Daily Galaxy, building the IceCube is less an act of construction than a kind of archaeology in reverse; the process will consist of entombing "glass-globed sensors the size of basketballs on 1-mile-long strings, 60 sensors per string, in 80 deep holes beneath the polar surface."
For more on the IceCube and Antarctic science in general give this article in The Economist a quick read – then check out NOVA's round-up of weird detectors.
Then, if you're looking for a good book on Antarctica itself, consider picking up a copy of Terra Antarctica: Looking into the Emptiest Continent by William L. Fox (a book previously mentioned on BLDGBLOG here).