Some notes on tetrahedrally closed spherical sets in Euclidean spaces
We describe a connection between a family of tetrahedrally closed spherical sets in Euclidean spaces and a family of point-line geometries called near polygons.
KeywordsEuclidean space spherical set tetrahedron near polygon
2010 Mathematics Subject Classification52C07 52C35 05B25
The author would like to thank the anonymous referee for his/her valuable comments.
- 4.Conway J H and Sloane N J A, Sphere packings, lattices and groups, third edition. Grundlehren der Mathematischen Wissenschaften 290 (1999) (New York: Springer)Google Scholar
- 5.De Bruyn B, On tetrahedrally closed line systems and a generalization of the Haemers–Roos inequality, preprint (2016)Google Scholar
- 6.Horn R A and Johnson C R, Matrix analysis, second edition (2013) (Cambridge: Cambridge University Press)Google Scholar