The one-sided kissing number in four dimensions

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dc.creatorMusin, Oleg R.
dc.date2005-11-03
dc.date2007-03-21
dc.date.accessioned2026-07-07T07:52:50Z
dc.date.available2026-07-07T07:52:50Z
dc.descriptionLet H be a closed half-space of n-dimensional Euclidean space. Suppose S is a unit sphere in H that touches the supporting hyperplane of H. The one-sided kissing number B(n) is the maximal number of unit nonoverlapping spheres in H that can touch S. Clearly, B(2)=4. It was proved that B(3)=9. Recently, K. Bezdek proved that B(4)=18 or 19, and conjectured that B(4)=18. We present a proof of this conjecture.
dc.identifierhttps://arxiv.org/abs/math/0511071
dc.identifierhttp://arxiv.org/abs/math/0511071
dc.identifierPeriodica Math. Hungarica, vol. 53, No. 1-2 (September 2006), pp. 209-225
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126024
dc.subjectMetric Geometry
dc.subjectCombinatorics
dc.titleThe one-sided kissing number in four dimensions
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