A 15-colouring of 3-space omitting distance one

Discrete Mathematics

Volumn 256, Issue 1-2, 2002, Pages 83-90

  Coulson, D ^a  

^a UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

Chromatic number; Lattices; Voronoi region

Indexed keywords

EID: 31244436597     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-365X(01)00183-2     Document Type: Article

References (7)

1. J.H. Conway, N.J.A. Sloane, Sphere packings lattices and groups, Springer, Berlin, 1988.
2. D. Coulson, An 18-colouring of 3-space omitting distance one, Discrete Math. 170 (1997) 241-247.
3. n into n + 1 parts, Math. Notes 7 (1970) 194-196.
4. A. Soifer, Chromatic number of the plane: a historical essay, Geombinatorics 1991 (13-15).
5. A. Soifer, Mathematical coloring book, Center for Excellence in Mathematical Education, 1999, to appear.
6. G.F. Voronoi, Sur quelques proprietes des formes quadratiques positives parfaites, J. Reine Angew. Math. 133 (1907) 97-178.
7. G.F. Voronoi, Recherches sur les paralleloedres primitifs (Part 1), J. Reine Angew. Math. 134 (1908) 198-287.