Abstract
The response of a magnetic fluid microdrop to a rotating magnetic field is studied for the first time. An unexpected shape instability is observed, leading to the formation of a spiny starfish shape that slowly corotates with the field. A simple model accounts for (i) the stability range of an oblate ellipsoidal shape that is a precursor to the starfish, (ii) the rotational frequency which is substantially lower than that of the applied magnetic field, and (iii) a lateral peak instability that is responsible for growth of the spiny arms of the starfish.
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