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The smaller A-tile, denoted A S, is an obtuse Robinson triangle, while the larger A-tile, A L, is acute; in contrast, a smaller B-tile, denoted B S, is an acute Robinson triangle, while the larger B-tile, B L, is obtuse. Concretely, if A S has side lengths (1, 1, φ), then A L has side lengths (φ, φ, 1). B-tiles can be related to such A-tiles ...
The pattern appears inlaid into the body of the tile, so that the design remains as the tile is worn down. Encaustic tiles may be glazed or unglazed and the inlay may be as shallow as 1 ⁄ 8 inch (3 mm), as is often the case with "printed" encaustic tile from the later medieval period, or as deep as 1 ⁄ 4 in (6.4 mm).
For example, the chair tiles shown below admit a substitution, and a portion of a substitution tiling is shown at right below. These substitution tilings are necessarily non-periodic, in precisely the same manner as described above, but the chair tile itself is not aperiodic – it is easy to find periodic tilings by unmarked chair tiles that ...
Example of Wang tessellation with 13 tiles. In 1961, Wang conjectured that 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 translations by vectors in a 2-dimensional lattice. This can be likened to the periodic tiling in a wallpaper pattern ...
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 ...
When the diagonal tiles were replaced by a repetitive pattern of horizontal polychrome tiles, one could obtain a new design with different motifs, interlacing Mannerist drawings with representations of roses and camellias (sometimes roses and garlands). An inset votive usually depicts a scene from the life of Christ or a saint.
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