Now showing items 21-22 of 22

    • The Still-Life Density Problem and its Generalizations 

      Elkies, Noam David (Institute of Mathematics, 1998)
      A "still Life" is a subset S of the square lattice Z^2 fixed under the transition rule of Conway's Game of Life, i.e. a subset satisfying the following three conditions: 1. No element of Z^2-S has exactly three neighbors ...
    • Sylvester-Gallai Theorems for Complex Numbers and Quaternions 

      Elkies, Noam; Pretorius, Lou M.; Swanepoel, Konrad J. (Springer Verlag, 2006)
      A Sylvester-Gallai (SG) configuration is a finite set S of points such that the line through any two points in S contains a third point of S. According to the Sylvester-Gallai theorem, an SG configuration in real projective ...