A typical cardioid microphone, like an ear, hears best from the front, but its readings blur when sound comes from the side. The solution is to gather several such 'ears' into a sphere. You get a sound ball that picks up signals from all directions. By comparing measurements, the system breaks down errors into simple components — much like spectroscopy splits light. Then it filters out noise using the same mathematical trick as gravitational wave detectors. Amazingly, this scheme works great even when microphones are spaced a meter or two apart — something that used to throw off the bearing for sure. In the end, the signal is cleaned up, like a telescope image cleared of cosmic dust, and previously invisible errors, like dark matter, no longer distort the picture.
On stage, cardioid microphones are popular because their design rejects sound from the speakers behind the performer.