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We report on the melting dynamics of ice suspended in fresh water and subjectto natural convective flows. Using direct numerical simulations we investigatethe melt rate of ellipsoidal objects for $2.32\times 10^4 \leq \text{Ra} \leq7.61\times 10^8$, where \text{Ra} is the Rayleigh number defined with thetemperature difference between the ice and the surrounding water. We revealthat the system exhibits non-monotonic behavior in three control parameters. Asa function of the aspect ratio of the ellipsoidal, the melting time shows adistinct minimum that is different from a disk which has the minimum perimeter.Furthermore, also with \text{Ra} the system shows a non-monotonic trend, sincefor large \text{Ra} and large aspect ratio the flow separates, leading todistinctly different dynamics. Lastly, since the density of water isnon-monotonic with temperature, the melt rate depends non-monotonically also onthe ambient temperature, as for intermediate temperatures($\unit{4}{\celsius}$--$\unit{7}{\celsius}$) the flow is (partially) reversed.In general, the shape which melts the slowest is quite distinct from that of adisk.

Circular objects do not melt the slowest in water