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Check (also checker, Brit: chequer, or dicing) is a pattern of modified stripes consisting of crossed horizontal and vertical lines which form squares.The pattern typically contains two colours where a single checker (that is a single square within the check pattern) is surrounded on all four sides by a checker of a different colour.
One approach is to color the vertices (with two colors, e.g., black and white) and require that adjacent tiles have matching vertices. [32] Another is to use a pattern of circular arcs (as shown above left in green and red) to constrain the placement of tiles: when two tiles share an edge in a tiling, the patterns must match at these edges. [21]
In the Hudson Valley kitchen of Kurt and Lorenzo Rausch, Anthony D’Argenzio of Zio and Sons incorporated black-and-white mosaic tiles by Clé that pairs perfectly with a dramatic swath of ...
A labyrinth can be generated by tiles in the form of a white square with a black diagonal. As with the quarter-circle tiles, each such tile has two orientations. [3] The connectivity of the resulting labyrinth can be analyzed mathematically using percolation theory as bond percolation at the critical point of a diagonally-oriented grid.
Most commonly, it consists of 64 squares (8×8) of alternating dark and light color, typically green and buff (official tournaments), black and red (consumer commercial), or black and white (printed diagrams).
Alternatively it can be looked upon (by shifting half a tile) as a checkerboard pattern of copies of a horizontally and vertically symmetric tile and its 90° rotated version. Note that neither applies for a plain checkerboard pattern of black and white tiles, this is group p4m (with diagonal translation cells).
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