A127081 One-sided kissing number for spheres in n-dimensional Euclidean space.

1, 4, 9, 18

Offset: 1

Author

Jonathan Vos Post, Mar 21 2007

Keywords

• hard
• nonn
• bref
• more

Comments

a(8) = 183. Musin's conjectures: a(5) = 32, a(24) = 144855.

"Let 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." [Musin]

Links

• Oleg R. Musin, The one-sided kissing number in four dimensions, arXiv:math/0511071 [math.MG], 2007.
• Oleg R. Musin, Five Essays on the Geometry of László Fejes Tóth, arXiv:1604.02776 [math.MG], 2016-2017.

Crossrefs

Cf. A001116, A257479.

Extensions

Edited by N. J. A. Sloane, Mar 23 2007

Conjectured a(5) removed from Data by Andrey Zabolotskiy, Sep 22 2021