New bounds on the number of unit spheres that can touch a unit sphere in n dimensions. (English) Zbl 0408.52007
MSC:
| 52A40 | Inequalities and extremum problems involving convexity in convex geometry |
| 52C17 | Packing and covering in \(n\) dimensions (aspects of discrete geometry) |
| 52A37 | Other problems of combinatorial convexity |
Online Encyclopedia of Integer Sequences:
Divisors of 196560.Maximal kissing number in n dimensions: maximal number of unit spheres that can touch another unit sphere.
References:
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| [7] | Rankin, R. A., The closest packing of spherical caps in \(n\) dimensions, (Proc. Glasgow Math. Assoc., 2 (1955)), 139-144 · Zbl 0065.15601 |
| [8] | Sloane, N. J.A, Binary codes, lattices, and sphere-packings, (Cameron, P. J., Combinatorial Surveys (1977), Academic Press: Academic Press London/New York), 117-164 · Zbl 0359.94015 |
| [9] | Sloane, N. J.A, Self-dual codes and lattices, (Proc. Symp. Pure Math. on Relations Between Combinatorics and Other Parts of Mathematics, Vol. XXXIV (1979), American Mathematical Society: American Mathematical Society Providence, R.I), 273-308 · Zbl 1021.94530 |
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