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An edge-matching puzzle is a type of tiling puzzle involving tiling an area with (typically regular) polygons whose edges are distinguished with colours or patterns, in such a way that the edges of adjacent tiles match. Edge-matching puzzles are known to be NP-complete, and adaptable for conversion to and from equivalent jigsaw puzzles and ...
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 ...
A three-dimensional edge-matching puzzle is a type of edge-matching puzzle or tiling puzzle involving tiling a three-dimensional area with (typically regular) polygonal pieces whose edges are distinguished with colors or patterns, in such a way that the edges of adjacent pieces match. Edge-matching puzzles are known to be NP-complete, and ...
The Eternity II puzzle (E2 or E II) is an edge-matching puzzle launched on 28 July 2007. [1] [2] It was developed by Christopher Monckton and marketed and copyrighted by TOMY UK Ltd as a successor to the original Eternity puzzle. The puzzle was part of a competition in which a $2 million prize was offered for the first complete solution. The ...
Download as PDF; Printable version; ... Pages in category "Tiling puzzles" ... Three-dimensional edge-matching puzzle
Le Trioker is a corner-matching puzzle game played using 25 equilateral triangle-shaped tiles.Each corner is marked with zero, one, two, or three dots and newly placed pieces must match the values on pieces already placed on the game board, similar to the gameplay of the earlier Triominoes.
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NP-complete special cases include the minimum maximal matching problem, [3]: GT10 which is essentially equal to the edge dominating set problem (see above). Metric dimension of a graph [3]: GT61 Metric k-center; Minimum degree spanning tree; Minimum k-cut; Minimum k-spanning tree
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