Dense packings of hard spheres of different sizes based on filling interstices in uniform three-dimensional tilings.
A systematic survey is presented of the maximum packing fractions obtained by decorating the 28 uniform tilings of three-dimensional space with spheres of one size and then filling the interstices of these tilings, starting with the largest, with spheres of different sizes. A number of size ratios and structures are identified that have not, to date, been considered in problems involving the packing of spheres of different sizes.
School of Chemistry, University of Sydney, Sydney, New South Wales 2006, Australia.
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Hudson
Peter
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Harrowell