[doubleunplussed]

Andrew is mistaken, the paper he cites doesn't say that levitation is possible in a dipole field. Brauenbecker showed that diamagnetic levitation was possible at all (e.g. in a quadrupole field), but not in a dipole field.

Stable levitation in a dipole field is still thought to be something only type II superconductors can do, and Andrew should not uncritically repeat what he read on /sci/ - which is one of the only other google results for "Brauenbecker extension" currently (after his tweet).