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Why there's always room for a few extra chocs

21 February 2004

A JAR of M&M chocolate treats turns out to have a peculiar mathematical property. The ellipsoid-shaped sweets pack far more densely into the jar than spherical objects like marbles.

It has long been known, at least to mathematicians, that if you put marbles into a jar and gently shake them to pack in as many as possible, the marbles will occupy no more than about 64 per cent of the jar’s volume. This is called random close packing.

But when physicist Salvatore Torquato of Princeton University in New Jersey and his colleagues did this with M&Ms, they found the randomly…

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