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The herringbone pattern is an arrangement of rectangles used for floor tilings and road pavement, so named for a fancied resemblance to the bones of a fish such as a herring. The blocks can be rectangles or parallelograms. The block edge length ratios are usually 2:1, and sometimes 3:1, but need not be even ratios.
A Pythagorean tiling Street Musicians at the Door, Jacob Ochtervelt, 1665.As observed by Nelsen [1] the floor tiles in this painting are set in the Pythagorean tiling. A Pythagorean tiling or two squares tessellation is a tiling of a Euclidean plane by squares of two different sizes, in which each square touches four squares of the other size on its four sides.
The rhombille tiling is also used as a design for parquetry [12] and for floor or wall tiling, sometimes with variations in the shapes of its rhombi. [13] It appears in ancient Greek floor mosaics from Delos [ 14 ] and from Italian floor tilings from the 11th century, [ 15 ] although the tiles with this pattern in Siena Cathedral are of a more ...
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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 in two ways: If B S has the same size as A L then B L is an enlarged version φ A S of A S, with side lengths (φ, φ, φ 2 = 1 + φ) – this decomposes into an A L tile and A S tile joined along a common side of length 1.
Porcelain tiles or ceramic tiles are either tiles made of porcelain, or relatively tough ceramic tiles made with a variety of materials and methods, that are suitable for use as floor tiles, or for walls. They have a low water absorption rate, generally less than 0.5 percent. The clay used to build porcelain tiles is generally denser than ...
There are also 2-isohedral tilings by special cases of type 1, type 2, and type 4 tiles, and 3-isohedral tilings, all edge-to-edge, by special cases of type 1 tiles. There is no upper bound on k for k-isohedral tilings by certain tiles that are both type 1 and type 2, and hence neither on the number of tiles in a primitive unit.
Right triangle domains can have as few as 1 face type, making regular forms, while general triangles have at least 2 triangle types, leading at best to a quasiregular tiling. There are different notations for expressing these uniform solutions, Wythoff symbol , Coxeter diagram , and Coxeter's t-notation.