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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 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 ...
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 ...
There are different notations for expressing these uniform solutions, Wythoff symbol, Coxeter diagram, and Coxeter's t-notation. Simple tiles are generated by Möbius triangles with whole numbers p,q,r, while Schwarz triangles allow rational numbers p,q,r and allow star polygon faces, and have overlapping elements.
Parquet Versailles. Large diagonal squares known as parquet de Versailles were introduced in 1684 as parquet de menuiserie ("woodwork parquet") to replace the marble flooring that required constant washing, which tended to rot the joists beneath the floors.
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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.