I did some experiments to achieve "Heart-Shaped Gravity-Stabilised Passive Static Magnetic Levitator" and "Rotatable Heart-Shaped Gravity-Balanced Passive Magnetic Levitator" for industrial applications.
Magnetically Suspended Flywheel System
"An upward magnetic repulsion force between the inverse heart-shaped magnetic flux lines of the ring-shaped stator magnet and the heart-shaped magnetic flux lines of the cone-shaped rotor magnet equals a downward gravitational force by the rotor assembly in order to passively suspend the rotor assembly so that the rotor assembly is capable of rotating around the central axis of rotation."
However, I was unable to overcome Earnshaw's theorem to make it stable even with rotation.
Here are some interesting phenomena that I observed.