A New Proof Smooths Out the Math of Melting

Imagine an ice cube floating in a glass of water. Eventually, it will melt down to a tiny frozen speck before disappearing. As it shrinks, its surface gets smoother, and any irregularities or sharp edges gradually vanish. Mathematicians want to understand this process in greater detail, to be able to say exactly how the surface of the ice — or, say, the shape of a gradually eroding sandcastle…

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