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The MacMahon Squares game is an example of an edge-matching puzzle. The family of such problems is NP-complete . The first part of New Mathematical Diversions describes these games in general, starting with linear forms ( dominoes ), then progressing in detail with similar games using tiles shaped as equilateral triangles, squares, right ...
TetraVex is a computer game that presents the player with a square grid and a collection of tiles, by default nine square tiles for a 3×3 grid. Each tile has four single-digit numbers, one on each edge. The objective of the game is to place the tiles into the grid in the proper position, completing this puzzle as quickly as possible.
The picture here shows two 3×3×3 cubes that have been fused. The largest example known to exist is in The Puzzle Museum [ 8 ] and consists of three 5×5×5 cubes that are siamese fused 2×2×5 in two places. there is also a "2 3x3x3 fused 2x2x2" version called the fused cube.
The only equable rectangles with integer sides are the 4 × 4 square and the 3 × 6 rectangle. [4] An integer rectangle is a special type of polyomino, and more generally there exist polyominoes with equal area and perimeter for any even integer area greater than or equal to 16. For smaller areas, the perimeter of a polyomino must exceed its area.
This name derives from the shape of the marks in the game (i.e the X and O); "nought" is another name for the number zero, while "cross" refers to the X shape. Sometimes, tic-tac-toe (where players keep adding "pieces") and three men's morris (where pieces start to move after a certain number have been placed) are confused with each other.
Animation of the missing square puzzle, showing the two arrangements of the pieces and the "missing" square Both "total triangles" are in a perfect 13×5 grid; and both the "component triangles", the blue in a 5×2 grid and the red in an 8×3 grid. The missing square puzzle is an optical illusion used in mathematics classes to help students ...
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