Journal of the Ramanujan Mathematical Society

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A Star Whose Irregular Packing is Denser than Its Lattice Packing


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1 Department of Mathematics, Eastern Illinois University, Charleston, Illinois 61920, United States
     

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Let S be the star domain y2 - 3x2 ≤ 1, |y| ≥ √3 |x|, 2 |y| (√3 |x| - |y|) ≤ 1, |y| ≤ √3 |x|. We apply the domain of action method to determine its densest irregular packing. We find that the irregular packing is denser than its lattice packing.
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  • A Star Whose Irregular Packing is Denser than Its Lattice Packing

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Authors

Myshfequr Rahman
Department of Mathematics, Eastern Illinois University, Charleston, Illinois 61920, United States

Abstract


Let S be the star domain y2 - 3x2 ≤ 1, |y| ≥ √3 |x|, 2 |y| (√3 |x| - |y|) ≤ 1, |y| ≤ √3 |x|. We apply the domain of action method to determine its densest irregular packing. We find that the irregular packing is denser than its lattice packing.