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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 ...
Tiling grout is often used to fill the spaces between tiles or mosaics and to secure tile to its base. Although ungrouted mosaics do exist, most have grout between the tesserae. Tiling grout is also cement-based, and is produced in sanded and unsanded varieties, which affects the strength, size, and appearance of the grout. [6]
Tile, including ceramic tile and stone tile, is installed in much the same way as floor tiles or wall tiles through the use of mortar and grouting the tile gaps after they have been cemented down. The tiles that sit on the wall typically behind a countertop are called a backsplash .
Truchet tiles are square tiles decorated with patterns so they do not have rotational symmetry; in 1704, Sébastien Truchet used a square tile split into two triangles of contrasting colours. These can tile the plane either periodically or randomly. [46] [47] An einstein tile is a single shape that forces aperiodic tiling. The first such tile ...
The Socolar–Taylor tile was proposed in 2010 as a solution to the einstein problem, but this tile is not a connected set. In 1996, Petra Gummelt constructed a decorated decagonal tile and showed that when two kinds of overlaps between pairs of tiles are allowed, the tiles can cover the plane, but only non-periodically. [6]
Her inventory also included items like tiles, bathroom fittings etc. that gained popularity with interior decorators. [14] It has been suggested that to revive and promote the art of blue pottery, sustained efforts are required to train the artists to use standardized tools, diversify into utility products by moving beyond decorative ones, and ...
Following Grünbaum and Shephard (section 1.3), a tiling is said to be regular if the symmetry group of the tiling acts transitively on the flags of the tiling, where a flag is a triple consisting of a mutually incident vertex, edge and tile of the tiling. This means that, for every pair of flags, there is a symmetry operation mapping the first ...
The subsidiary space alongside the body of a building, separated from it by columns, piers, or posts. Ante-choir The space enclosed in a church between the outer gate or railing of the rood screen and the door of the screen. Apron 1. A raised panel below a window or wall monument or tablet. 2.
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