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  2. Battleship (puzzle) - Wikipedia

    en.wikipedia.org/wiki/Battleship_(puzzle)

    In Battleship, an armada of battleships is hidden in a square grid of 10×10 small squares. The armada includes one battleship four squares long, two cruisers three squares long, three destroyers two squares long, and four submarines one square in size. Each ship occupies a number of contiguous squares on the grid, arranged horizontally or ...

  3. Square pyramidal number - Wikipedia

    en.wikipedia.org/wiki/Square_pyramidal_number

    All 14 squares in a 3×3-square (4×4-vertex) grid. As well as counting spheres in a pyramid, these numbers can be used to solve several other counting problems. For example, a common mathematical puzzle involves counting the squares in a large n by n square grid. [11] This count can be derived as follows: The number of 1 × 1 squares in the ...

  4. Nonogram - Wikipedia

    en.wikipedia.org/wiki/Nonogram

    In this format, each number indicates how many of the squares immediately surrounding it, and itself, will be filled. A square marked "9," for example, will have all eight surrounding squares and itself filled. If it is marked "0" those squares are all blank. Maze-a-Pix uses a maze in a standard grid. When the single correct route from ...

  5. Mathematics of Sudoku - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_Sudoku

    As outlined in the article of Latin squares, this is a Latin square of order . Now, to yield a Sudoku, let us permute the rows (or equivalently the columns) in such a way, that each block is redistributed exactly once into each block – for example order them 1 , 4 , 7 , 2 , 5 , 8 , 3 , 6 , 9 {\displaystyle 1,4,7,2,5,8,3,6,9} .

  6. Square packing - Wikipedia

    en.wikipedia.org/wiki/Square_packing

    Square packing in a square is the problem of determining the maximum number of unit squares (squares of side length one) that can be packed inside a larger square of side length . If a {\displaystyle a} is an integer , the answer is a 2 , {\displaystyle a^{2},} but the precise – or even asymptotic – amount of unfilled space for an arbitrary ...

  7. Gauss circle problem - Wikipedia

    en.wikipedia.org/wiki/Gauss_circle_problem

    Gauss's circle problem asks how many points there are inside this circle of the form (,) where and are both integers. Since the equation of this circle is given in Cartesian coordinates by x 2 + y 2 = r 2 {\displaystyle x^{2}+y^{2}=r^{2}} , the question is equivalently asking how many pairs of integers m and n there are such that

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  9. File:Grid square count puzzle.svg - Wikipedia

    en.wikipedia.org/wiki/File:Grid_square_count...

    You are free: to share – to copy, distribute and transmit the work; ... Description=All 30 squares in a 4 by 4 square grid by CMG Lee. |Source={{own}} ...