The discoveries of the integer and fractional quantum Hall effects in the early 1980s unveiled an exotic world of topological quantum matter [1].This fascinating world, however, remains largely Platonic in the sense that most of the predicted topological quantum phases are still far away from experimental realization.For a time, almost the only way to find a new topological quantum phase was to search for quantum Hall systems with higher carrier mobilities at lower temperaturesand under stronger magnetic fields.