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A tiling with rectangles is a tiling which uses rectangles as its parts. The domino tilings are tilings with rectangles of 1 × 2 side ratio. The tilings with straight polyominoes of shapes such as 1 × 3, 1 × 4 and tilings with polyominoes of shapes such as 2 × 3 fall also into this category.
Tiles are usually thin, square or rectangular coverings manufactured from hard-wearing material such as ceramic, stone, metal, baked clay, or even glass. They are generally fixed in place in an array to cover roofs, floors, walls, edges, or other objects such as tabletops.
A rectangle tiled by squares, rectangles, or triangles is said to be a "squared", "rectangled", or "triangulated" (or "triangled") rectangle respectively. The tiled rectangle is perfect [17] [18] if the tiles are similar and finite in number and no two tiles are the same size. If two such tiles are the same size, the tiling is imperfect.
Vinyl floor tiling. Vinyl composition tile (VCT) is a finished flooring material used primarily in commercial and institutional applications. Modern vinyl floor tiles and sheet flooring and versions of those products sold since the early 1980s are composed of colored polyvinyl chloride (PVC) chips formed into solid sheets of varying thicknesses (1 ⁄ 8 in or 3.2 mm is most common) by heat and ...
Other common sizes include 4 in × 8 in and 8 in × 8 in. In the UK, traditional surface dimensions generally vary from 6 in × 6 in, to 12 in × 12 in. Such tiles, given the generally local and non-standardised production, commonly vary between those dimensions, but rarely stray outside of them.
The elaborate and colourful zellige tessellations of glazed tiles at the Alhambra in Spain that attracted the attention of M. C. Escher. More formally, a tessellation or tiling is a cover of the Euclidean plane by a countable number of closed sets, called tiles, such that the tiles intersect only on their boundaries. These tiles may be polygons ...