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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 pattern represented by every finite patch of tiles in a Penrose tiling occurs infinitely many times throughout the tiling. They are quasicrystals: implemented as a physical structure a Penrose tiling will produce diffraction patterns with Bragg peaks and five-fold symmetry, revealing the repeated patterns and fixed orientations of its tiles ...
In parquetry, more casually known as flooring, herringbone patterns can be accomplished in wood, brick, and tile.Subtle alternating colors may be used to create a distinctive floor pattern, or the materials used may be the same, causing the floor to look uniform from a distance.
These are commonly made of ceramic or stone, although recent technological advances have resulted in rubber or glass tiles for floors as well. Ceramic tiles may be painted and glazed. Small mosaic tiles may be laid in various patterns. Floor tiles are typically set into mortar consisting of sand, Portland cement and often a latex additive.
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 ...
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).