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A tile mosaic is a digital image made up of individual tiles, arranged in a non-overlapping fashion, e.g. to make a static image on a shower room or bathing pool floor, by breaking the image down into square pixels formed from ceramic tiles (a typical size is 1 in × 1 in (25 mm × 25 mm), as for example, on the floor of the University of ...
Mosaic tiling from the Qal'at Bani Hammad (present-day Algeria), 11th century. Zellij fragments from al-Mansuriyya (Sabra) in Tunisia, possibly dating from either the mid-10th century Fatimid foundation or from the mid-11th Zirid occupation, suggest that the technique may have developed in the western Islamic world around this period. [5]
A tiling T is a set of prototile placements whose regions have pairwise disjoint interiors. We say that the tiling T is a tiling of W where W is the union of the regions of the placements in T. A tile substitution is often loosely defined in the literature. A precise definition is as follows. [3]
A normal tiling is a tessellation for which every tile is topologically equivalent to a disk, the intersection of any two tiles is a connected set or the empty set, and all tiles are uniformly bounded. This means that a single circumscribing radius and a single inscribing radius can be used for all the tiles in the whole tiling; the condition ...
The tiles in the square tiling have only one shape, and it is common for other tilings to have only a finite number of shapes. These shapes are called prototiles, and a set of prototiles is said to admit a tiling or tile the plane if there is a tiling of the plane using only these shapes.
Making mosaic tiles Cross section of an earthenware tile Section through a porcelain stoneware slab The elaborate floor pattern of the Sydney Queen Victoria Building Floor tile in Karpas, northeastern Cyprus 6"×6" porcelain floor tiles Patio with stone tile, Hawaii, US 1960 Cracked tile flooring. Floor tiles are commonly made of ceramic or ...
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