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Five subsidiary structures located near the Palace of Versailles have a historical relation with the history and evolution of the palace. Of these five structures – the Ménagerie, the Pavillon de la Lanterne, the Trianon de Porcelaine, the Grand Trianon (also called the Marble Trianon), and the Petit Trianon – two have been destroyed (the Ménagerie and the Trianon de Porcelaine); however ...
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.
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 ...
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 ...
Le Petit Trianon: Histoire et description, Versailles, L. Bernard. Nolhac, Pierre de (1913). Le Trianon de Marie-Antoinette. Paris: Calmann-Lévy. Benoît, Jérémie (2009). Le Grand Trianon: Un palais privé à l'ombre de Versailles (préf. Pierre Arizzoli-Clémentel et Jean-Jacques Aillagon). Lathuile/Versailles: Éditions du Gui.
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 ...
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Palace of Versailles (1661–1710). The Louis XIV style or Louis Quatorze (/ ˌ l uː i k æ ˈ t ɔːr z,-k ə ˈ-/ LOO-ee ka-TORZ, - kə-, French: [lwi katɔʁz] ⓘ), also called French classicism, was the style of architecture and decorative arts intended to glorify King Louis XIV and his reign.
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