On Mixed Sphere Packings

نویسنده

  • Salvatore Vassallo
چکیده

Balls of two diierent radii r 1 < r 2 can trivially be packed in E 3 with density better than the classical packing density 3 L = 0:74048. .. , if r 1 =r 2 0:41::. We show that this even holds for r 1 =r 2 = 0:623. .. Further we show, under strong restrictions, that r 1 =r 2 close to 1 does not yield a density > 3 L. These results correspond to similar results on circle packings in the plane

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تاریخ انتشار 1994