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An estimate of the radius of a cylinder imbeddable in every lattice packing of n-dimensional unit spheres

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This note is devoted to the reduction of the problem in the title to a more fully explored problem in the geometry of numbers. The estimates obtained are given in Table 1.

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Literature cited

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Translated from Matematicheskie Zametki, Vol. 17, No. 1, pp. 123–128, January, 1975.

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Ryshkov, S.S., Horvath, J.G. An estimate of the radius of a cylinder imbeddable in every lattice packing of n-dimensional unit spheres. Mathematical Notes of the Academy of Sciences of the USSR 17, 72–75 (1975). https://doi.org/10.1007/BF01093847

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  • Unit Sphere
  • Lattice Packing