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The extreme coverings of 4-space by spheres
Published online by Cambridge University Press: 09 April 2009
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The object of this paper is to apply, in the case n = 4, the results of Barnes and Dickson [1] concerning extreme coverings of n-dimensional Euclidean space by equal spheres whose centres form a lattice.
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- Research Article
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- Copyright © Australian Mathematical Society 1967
References
[1]Barnes, E. S. and Dickson, T. J., ‘Extreme coverings of n-space by spheres’, J. Aust. Math. Soc. 7 (1967), 115–127.CrossRefGoogle Scholar
[2]Delone, B. N. and Ryskov, S. S., ‘Solution of the problem of the least dense lattice covering of a 4-dimensional space by equal spheres’, Dokl. Akad. Nauk. S.S.S.R. 152 (1963), 523.Google Scholar
[3]Dickson, T. J., ‘An extreme covering of 4-space by spheres’, J. Aust. Math. Soc. 6 (1966), 179–192.CrossRefGoogle Scholar
[4]Voronoï, G., ‘Recherches sur les paralleloédres primitifs (Part. 2)’, J. rein angew. Math. 136 (1909), 67–181.Google Scholar
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