Point Lattice — from Wolfram MathWorld

REFERENCES:Apostol, T. Introduction to Analytic Number Theory. New York: Springer-Verlag, 1995.Castellanos, D. “The Ubiquitous Pi.” Math. Mag. 61, 67-98, 1988.Cipra, B. “Lattices May Put Security Codes on a Firmer Footing.” Science 273, 1047-1048, 1996.Eppstein, D. “Lattice Theory and Geometry of Numbers.” http://www.ics.uci.edu/~eppstein/junkyard/lattice.html.Gardner, M. “The Lattice of Integer.” Ch. 21 in The Sixth Book of Mathematical Games from Scientific American. Chicago, IL: University of Chicago Press, pp. 208-219, 1984.Guy, R. K. “Gauss’s Lattice Point Problem,” “Lattice Points with Distinct Distances,” “Lattice Points, No Four on a Circle,” and “The No-Three-in-a-Line Problem.” §F1, F2, F3, and F4 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 240-244, 1994.Guy, R. K. and Kelly, P. A. “The No-Three-in-Line-Problem.” Canad. Math. Bull. 11, 527-531, 1968.Hammer, J. Unsolved Problems Concerning Lattice Points. London: Pitman, 1977.Hilbert, D. and Cohn-Vossen, S. “Regular Systems of Points.” Ch. 2 in Geometry and the Imagination. New York: Chelsea, pp. 32-93, 1999.Knupp, P. and Steinberg, S. Fundamentals of Grid Generation. Boca Raton, FL: CRC Press, 1994.Nagell, T. “Lattice Points and Point Lattices.” §11 in Introduction to Number Theory. New York: Wiley, pp. 32-34, 1951.Sloane, N. J. A. Sequence A000769/M3252 in “The On-Line Encyclopedia of Integer Sequences.”Thompson, J. F.; Soni, B.; and Weatherill, N. Handbook of Grid Generation. Boca Raton, FL: CRC Press, 1998.

Source: Point Lattice — from Wolfram MathWorld