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  1. ; ; ( , SIAM Journal on Optimization)
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  2. ; ( , Advances in Geometry)
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    Abstract We construct a new family of lattice packings for superballs in three dimensions (unit balls for the l 3 p $\begin{array}{}\displaystylel^p_3\end{array}$ norm) with p ∈ (1, 1.58]. We conjecture that the family also exists for p ∈ (1.58, log 2 3 = 1.5849625…]. Like in the densest lattice packing of regular octahedra, each superball in our family of lattice packings has 14 neighbors. 
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