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  2. Japanese mahjong scoring rules - Wikipedia

    en.wikipedia.org/wiki/Japanese_Mahjong_scoring_rules

    the wait for the inner side of outermost two simple tiles (i.e. 3 for 12 or 7 for 89) made into a shuntsu: tanki-machi (単騎待ち) the wait for another single tile (e.g. 1 for single 1, East for single East) made into a toitsu: shanpon-machi (双碰待ち) the wait for either tile in two toitsu (e.g. 1 or 2 for 1122) made into a kōtsu: 0 fu

  3. Heesch's problem - Wikipedia

    en.wikipedia.org/wiki/Heesch's_problem

    The zeroth corona of a tile is defined as the tile itself, and for k > 0 the kth corona is the set of tiles sharing a boundary point with the (k − 1)th corona. The Heesch number of a figure S is the maximum value k such that there exists a tiling of the plane, and tile t within that tiling, for which that all tiles in the zeroth through k th ...

  4. Pixel density - Wikipedia

    en.wikipedia.org/wiki/Pixel_density

    [citation needed] The outside of the square shown above is 200 pixels by 200 pixels. To determine a monitor's ppi, set the OS DPI scaling setting at 100% and the browser's zoom at 100%, then measure the width and height, in inches, of the square as displayed on a given monitor. Dividing 200 by the measured width or height gives the monitor's ...

  5. Einstein problem - Wikipedia

    en.wikipedia.org/wiki/Einstein_problem

    The Socolar–Taylor tile was proposed in 2010 as a solution to the einstein problem, but this tile is not a connected set. In 1996, Petra Gummelt constructed a decorated decagonal tile and showed that when two kinds of overlaps between pairs of tiles are allowed, the tiles can cover the plane, but only non-periodically. [6]

  6. Janline - Wikipedia

    en.wikipedia.org/wiki/Janline

    Tiles that were supposed to be removed instead remained in the hand, and it would be impossible to create a winning hand due to excess tiles 多牌 (tāhai). With kan, tiles would be stolen from other players' hands. The player performing the kan would have more tiles than necessary, and the other player would have less than necessary 少牌 ...

  7. Aperiodic set of prototiles - Wikipedia

    en.wikipedia.org/wiki/Aperiodic_set_of_prototiles

    A given set of tiles, in the Euclidean plane or some other geometric setting, admits a tiling if non-overlapping copies of the tiles in the set can be fitted together to cover the entire space. A given set of tiles might admit periodic tilings — that is, tilings that remain invariant after being shifted by a translation (for example, a ...

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