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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.
This image is a derivative work of the following images: File:Hopscotch1900F294.png licensed with PD-US 2008-07-18T04:14:05Z ScotchHopper 241x473 (6790 Bytes) {{Information |Description={{en|1=Hopscotch court; P. 357: Fig 294.—A Typical American Court with Ten Subdivisions.}} |Source=''The Outdoor Handy Book: For the Playground, Field, and ...
In 1981, Grünbaum, Miller, and Shephard, in their paper Uniform Tilings with Hollow Tiles, list 25 tilings using the first two expansions and 28 more when the third is added (making 53 using Coxeter et al.'s definition). When the fourth is added, they list an additional 23 uniform tilings and 10 families (8 depending on continuous parameters ...
This image is a derivative work of the following images: File:Hopscotch1900F291.png licensed with PD-US 2008-07-18T04:08:10Z ScotchHopper 225x464 (6695 Bytes) {{Information |Description={{en|1=Hopscotch court; P. 356: Fig 291.—An English Court with Eleven Subdivisions and a Plum Pudding.}} |Source=''The Outdoor Handy Book: For the Playground ...
A tiling that cannot be constructed from a single primitive cell is called nonperiodic. If a given set of tiles allows only nonperiodic tilings, then this set of tiles is called aperiodic. [3] The tilings obtained from an aperiodic set of tiles are often called aperiodic tilings, though strictly speaking it is the tiles themselves that are ...
This parquet floor is fitted to the size and shape of the room. This is only possible with sheet vinyl if it is custom-printed. Vinyl sheet flooring is usually made with skeuomorphic patterns that imitate wood, stone, or tile. The texture of these materials is imitated using embossing and specific top coats; the appearance is duplicated using a ...
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. Laying a herringbone floor is very challenging, since the multitude of small rows must be made to line up smoothly, which can be difficult in a room which is not perfectly flat.
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 ...