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These extended lines can also be interpreted as normal lines through an infinite grid in the Euclidean plane, taken modulo the dimensions of the torus. For a torus based on an m × n {\displaystyle m\times n} grid, the maximum number of points that can be chosen with no three in line is at most 2 gcd ( m , n ) {\displaystyle 2\gcd(m,n)} . [ 25 ]
In geometry, a tetrad is a set of four simply connected disjoint planar regions in the plane, each pair sharing a finite portion of common boundary. It was named by Michael R. W. Buckley in 1975 in the Journal of Recreational Mathematics .
In 1867, in the French chess journal Le Sphinx, an intellectual precursor to the nine dots puzzle appeared credited to Sam Loyd. [1] [2] Said chess puzzle corresponds to a "64 dots puzzle", i.e., marking all dots of an 8-by-8 square lattice, with an added constraint. [a] The Columbus Egg Puzzle from The Strand Magazine, 1907
A conformal map acting on a rectangular grid. Note that the orthogonality of the curved grid is retained. While vector operations and physical laws are normally easiest to derive in Cartesian coordinates, non-Cartesian orthogonal coordinates are often used instead for the solution of various problems, especially boundary value problems, such as those arising in field theories of quantum ...
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The Battle for Wesnoth, a hex grid based computer game. A hex map, hex board, or hex grid is a game board design commonly used in simulation games of all scales, including wargames, role-playing games, and strategy games in both board games and video games. A hex map is subdivided into a hexagonal tiling, small regular hexagons of identical size.
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Tycho 3D Brain Teaser Puzzle. The Tycho puzzle is hefty and beautiful, with eight interlocking stainless steel and brass components. You spin it on a countertop to break it apart, then reassemble ...