In geometry, a domino tiling of a region in the Euclidean plane is a tessellation of the region by dominoes, shapes formed by the union of two unit squares meeting edge-to-edge. Equivalently, it is a perfect matching in the grid graph formed by placing a vertex at the center of each square of the region and connecting two vertices when they correspond to adjacent squares.
In geometry, a dominotiling of a region in the Euclidean plane is a tessellation of the region by dominoes, shapes formed by the union of two unit squares...
rendering support, you may see question marks, boxes, or other symbols. DominoTiles is a Unicode block containing characters for representing game situations...
if a finite set of Wang tiles can tile the plane, then there also exists a periodic tiling, which, mathematically, is a tiling that is invariant under...
Dominoes is a family of tile-based games played with gaming pieces. Each domino is a rectangular tile, usually with a line dividing its face into two...
that the number of dominotilings of the Aztec diamond of order n is 2n(n+1)/2. The Arctic Circle theorem says that a random tiling of a large Aztec diamond...
without gaps). Some tiling puzzles ask players to dissect a given shape first and then rearrange the pieces into another shape. Other tiling puzzles ask players...
cover all of these squares? It is an impossible puzzle: there is no dominotiling meeting these conditions. One proof of its impossibility uses the fact...
played with dominotiles or similar equipment. The most typical domino games are layout games, i.e. games in which the players add matching tiles from their...
Penrose tiling is an example of an aperiodic tiling. Here, a tiling is a covering of the plane by non-overlapping polygons or other shapes, and a tiling is...
Highest domino climb (12 m) Smallest dominotile (7 mm) Largest dominotile (4.8 m) Longest domino wall (16 m) Largest domino structure (25,000 tiles) Fastest...
wallpaper groups. A tiling that lacks a repeating pattern is called "non-periodic". An aperiodic tiling uses a small set of tile shapes that cannot form...
structure d-dimer Dimer model, an item in statistical mechanics, based on dominotiling Julius Dimer (1871–1945), German chess master Dimery (botany), having...
using a similar dominotiling strategy, including every square but the one containing the first player's first move. The dominotiling strategy works by...
aims of the game are to domino, i.e. be first to shed all one's hand tiles, and, during play, to score points by playing a tile that makes the total number...
aperiodic tiling is a non-periodic tiling with the additional property that it does not contain arbitrarily large periodic regions or patches. A set of tile-types...
Double-eighteen (13 players, 190 tiles) Many domino sets use color-coded pips or numerals for the values to help players select matching domino values; however, the...
A tiling with rectangles is a tiling which uses rectangles as its parts. The dominotilings are tilings with rectangles of 1 × 2 side ratio. The tilings...
bar. domino To play all the tiles in a hand, usually ending play for the round. Hence 'dominoed' or 'dominoer'. An individual piece in a domino set. According...
of Wang tiles to sets of polyominoes. Because the general problem of tiling regions of the plane with sets of polyominoes is NP-complete, tiling with more...
no mention of dominoes in her compendium of games. In China, early "domino" tiles were functionally identical to playing cards. An identifiable version...
Conway criterion; hence, every pentomino is capable of tiling the plane. Each chiral pentomino can tile the plane without being reflected. The earliest puzzle...
Although originating from tiles, domino card games inspired the creation of a tile game, Digging Flowers. Unlike regular dominotiles, these are short and...
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