The dimensional family approach in (hyper) sphere packing: A typological study of new patterns, structures, and interdimensional functions

Applied Mathematics and Computation

Volumn 88, Issue 1, 1997, Pages 1-26

  Muses C ^a  

^a Math and Morphology Research Centre   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012965013     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0096-3003(97)00004-0     Document Type: Article

References (6)

1. J. H. Conway, and N. J. A. Sloane, (Eds.) Sphere Packings, Lattices and Groups, 2nd ed., Springer-Verlag, New York, 1993.
2. T. M. Thompson, From Error-Correcting Codes Through Sphere Packings to Simple Groups, Mathematical Association of America, Washington, D.C., 1983.
3. H. S. M. Coxeter and J. A. Todd, An extreme duodenary form, Canadian Journal of Mathematics, vol. 5, p. 384 (1953).
4. H.-G. Quebbemann, Zur Klassifikation unimodulaerer Gitter mit Isometrie von Primzahlordnung, Journal für Reine und Angewandte Mathematik, Band 326, p. 438 (1981). cf. the same author's A construction of integral lattices in Mathematika, vol. 31, p. 137 (1984).
5. H.-G. Quebbemann, Zur Klassifikation unimodulaerer Gitter mit Isometrie von Primzahlordnung, Journal für Reine und Angewandte Mathematik, Band 326, p. 438 (1981). cf. the same author's A construction of integral lattices in Mathematika, vol. 31, p. 137 (1984).
6. C. Musès, Finding of the primal dimensional family, cited by H. S. M. Coxeter, "Geometry'." In Lectures on Modern Mathematics, Vol. 3 (T. L. Saaty, ed.) John Wiley & Sons, New York, 1965, p. 66.