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  2. No-three-in-line problem - Wikipedia

    en.wikipedia.org/wiki/No-three-in-line_problem

    The no-three-in-line drawing of a complete graph is a special case of this result with =. [12] The no-three-in-line problem also has applications to another problem in discrete geometry, the Heilbronn triangle problem. In this problem, one must place points, anywhere in a unit square, not restricted to a grid. The goal of the placement is to ...

  3. File:No-three-in-line.svg - Wikipedia

    en.wikipedia.org/wiki/File:No-three-in-line.svg

    A set of 20 points in a 10 × 10 grid, with no three points in a line. Date: 5 May 2007: Source: Own work: Author: David Eppstein: SVG development . The SVG code is .

  4. Template : Did you know nominations/No-three-in-line problem

    en.wikipedia.org/.../No-three-in-line_problem

    Main page; Contents; Current events; Random article; About Wikipedia; Contact us; Donate; Pages for logged out editors learn more

  5. Eight queens puzzle - Wikipedia

    en.wikipedia.org/wiki/Eight_queens_puzzle

    One approach [3] is If the remainder from dividing n by 6 is not 2 or 3 then the list is simply all even numbers followed by all odd numbers not greater than n. Otherwise, write separate lists of even and odd numbers (2, 4, 6, 8 – 1, 3, 5, 7). If the remainder is 2, swap 1 and 3 in odd list and move 5 to the end (3, 1, 7, 5).

  6. Tic-tac-toe - Wikipedia

    en.wikipedia.org/wiki/Tic-tac-toe

    All numbers can be used only once. The player who puts down 15 points in a line wins (sum of 3 numbers). In the 1970s, there was a two-player game made by Tri-ang Toys & Games called Check Lines, in which the board consisted of eleven holes arranged in a geometrical pattern of twelve straight lines each containing three of the holes. Each ...

  7. Regular grid - Wikipedia

    en.wikipedia.org/wiki/Regular_grid

    Example of a regular grid. A regular grid is a tessellation of n-dimensional Euclidean space by congruent parallelotopes (e.g. bricks). [1] Its opposite is irregular grid.. Grids of this type appear on graph paper and may be used in finite element analysis, finite volume methods, finite difference methods, and in general for discretization of parameter spaces.

  8. Nine dots puzzle - Wikipedia

    en.wikipedia.org/wiki/Nine_dots_puzzle

    The "nine dots" puzzle. The puzzle asks to link all nine dots using four straight lines or fewer, without lifting the pen. The nine dots puzzle is a mathematical puzzle whose task is to connect nine squarely arranged points with a pen by four (or fewer) straight lines without lifting the pen or retracing any lines.

  9. Fano plane - Wikipedia

    en.wikipedia.org/wiki/Fano_plane

    There are 84 ways of specifying a pentagon in which no three consecutive vertices lie on a line, and two symmetries fixing any pentagon. The Fano plane is an example of an (n 3)-configuration, that is, a set of n points and n lines with three points on each line and three lines