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On Packings of Unequal Spheres in Rn
Published online by Cambridge University Press: 20 November 2018
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Suppose that a sequence of spheres is packed in order of decreasing diameters into the unit cube In of Rn . In recent work (2), I have shown that for n = 2, there exist positive constants K2, s ( = 0.97) such that the area of has an asymptotic lower bound K2(d(Sm))s . Although the methods used were complicated and possibly only viable in two dimensions, it is intuitively clear that such a result should also be true in higher dimensions.
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- Copyright © Canadian Mathematical Society 1968
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