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Deltoidal Trihexagonal Tiling
In geometry, the rhombitrihexagonal tiling is a semiregular tiling of the Euclidean plane. There are one triangle, two squares, and one hexagon on each vertex. It has Schläfli symbol of rr. John Conway calls it a rhombihexadeltille.Conway, 2008, p288 table It can be considered a cantellated by Norman Johnson's terminology or an expanded hexagonal tiling by Alicia Boole Stott's operational language. There are 3 regular and 8 semiregular tilings in the plane. Uniform colorings There is only one uniform coloring in a rhombitrihexagonal tiling. (Naming the colors by indices around a vertex (3.4.6.4): 1232.) With edge-colorings there is a half symmetry form (3*3) orbifold notation. The hexagons can be considered as truncated triangles, t with two types of edges. It has Coxeter diagram , Schläfli symbol s2. The bicolored square can be distorted into isosceles trapezoids. In the limit, where the rectangles degenerate into edges, a triangular tiling results, constructed as ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geometry
Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is called a ''geometer''. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts. During the 19th century several discoveries enlarged dramatically the scope of geometry. One of the oldest such discoveries is Carl Friedrich Gauss' ("remarkable theorem") that asserts roughly that the Gaussian curvature of a surface is independent from any specific embedding in a Euclidean space. This implies that surfaces can be studied ''intrinsically'', that is, as stand-alone spaces, and has been expanded into the theory of manifolds and Riemannian geometry. Later in the 19th century, it appeared that geometries ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Coxeter Diagram
Harold Scott MacDonald "Donald" Coxeter, (9 February 1907 – 31 March 2003) was a British and later also Canadian geometer. He is regarded as one of the greatest geometers of the 20th century. Biography Coxeter was born in Kensington to Harold Samuel Coxeter and Lucy (). His father had taken over the family business of Coxeter & Son, manufacturers of surgical instruments and compressed gases (including a mechanism for anaesthetising surgical patients with nitrous oxide), but was able to retire early and focus on sculpting and baritone singing; Lucy Coxeter was a portrait and landscape painter who had attended the Royal Academy of Arts. A maternal cousin was the architect Sir Giles Gilbert Scott. In his youth, Coxeter composed music and was an accomplished pianist at the age of 10. Roberts, Siobhan, ''King of Infinite Space: Donald Coxeter, The Man Who Saved Geometry'', Walker & Company, 2006, He felt that mathematics and music were intimately related, outlining his ide ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sevilla, Spain
Seville (; es, Sevilla, ) is the capital and largest city of the Spain, Spanish autonomous communities of Spain, autonomous community of Andalusia and the province of Seville. It is situated on the lower reaches of the Guadalquivir, River Guadalquivir, in the southwest of the Iberian Peninsula. Seville has a municipal population of about 685,000 , and a List of metropolitan areas in Spain, metropolitan population of about 1.5 million, making it the largest city in Andalusia, the List of metropolitan areas in Spain, fourth-largest city in Spain and the Largest cities of the European Union by population within city limits, 26th most populous municipality in the European Union. Its old town, with an area of , contains three UNESCO World Heritage Sites: the Alcázar of Seville, Alcázar palace complex, the Seville Cathedral, Cathedral and the Archivo General de Indias, General Archive of the Indies. The Seville harbour, located about from the Atlantic Ocean, is the only rive ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Archeological Museum Of Seville
The Archeological Museum of Seville (Spanish: ''Museo Arqueológico de Sevilla'') is a museum in Seville, southern Spain, housed in the ''Pabellón del Renacimiento'', one of the pavilions designed by the architect Aníbal González. These pavilions at the Plaza de España were created for the Ibero-American Exposition of 1929. History The institution was created via royal order issued on 21 November 1879. Following a move of the collection to the Pabellón del Renacimiento started in 1942, 8 exhibition rooms were opened in the new premises on 25 May 1946. Collection The museum's basement houses the ''El Carambolo'' treasure, discovered in Camas (3 km NW of Seville) in 1958. The treasure comprises 2950 grams of 24-carat gold and consists of golden bracelets, a golden chain with pendant, buckles, belt- and forehead plates. The hoard, initially associated to Tartessos, has been however interpreted since the 1990s rather as part of a Phoenician sanctuary; this later hypo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kensington (game)
275px, Kensington gameboard illustration showing rhombitrihexagonal tiling Kensington is an abstract strategy board game devised by Brian Taylor and Peter Forbes in 1979, named after London's Kensington Gardens, which contains the mosaic upon which the gameboard is patterned. It is played on a geometrical board based on the rhombitrihexagonal tiling pattern. The objective of the game is to capture a hexagon by occupying the six surrounding vertices. The game maintains an elegant simplicity while still allowing for astonishingly complex strategy. The placing and movement of tokens have been compared to nine men's morris. Board The gameboard geometry is based on rhombitrihexagonal tiling and consists of a combination of seven regular hexagons, thirty squares, and twenty-four triangles. Each player can win on either of the two hexagons of their respective colour, or on any of three "neutral" hexagons situated midway between the players. The board is composed of 72 total vertices wh ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kensington Board
Kensington is a district in the Royal Borough of Kensington and Chelsea in the West of Central London. The district's commercial heart is Kensington High Street, running on an east–west axis. The north-east is taken up by Kensington Gardens, containing the Albert Memorial, the Serpentine Gallery and Speke's monument. South Kensington and Gloucester Road are home to Imperial College London, the Royal College of Music, the Royal Albert Hall, Natural History Museum, Victoria and Albert Museum, and Science Museum. The area is also home to many embassies and consulates. Name The manor of ''Chenesitone'' is listed in the Domesday Book of 1086, which in the Anglo-Saxon language means "Chenesi's ton" (homestead/settlement). One early spelling is ''Kesyngton'', as written in 1396. History The manor of Kensington, in the county of Middlesex, was one of several hundred granted by King William the Conqueror (1066-1089) to Geoffrey de Montbray (or Mowbray), Bishop of Coutances in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The Grammar Of Ornament
Owen Jones (15 February 1809 – 19 April 1874) was a British architect. A versatile architect and designer, he was also one of the most influential design theorists of the nineteenth century. He helped pioneer modern colour theory, and his theories on flat patterning and ornament still resonate with contemporary designers today. He rose to prominence with his studies of Islamic decoration at the Alhambra, and the associated publication of his drawings, which pioneered new standards in chromolithography. Jones was a pivotal figure in the formation of the South Kensington Museum (later to become the Victoria and Albert Museum) through his close association with Henry Cole, the museum's first director, and another key figure in 19th century design reform. Jones was also responsible for the interior decoration and layout of exhibits for the Great Exhibition building of 1851, and for its later incarnation at Sydenham. Jones advised on the foundation collections for the South Kensi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wallpaper Group-p6m-4
Wallpaper is a material used in interior decoration to decorate the interior walls of domestic and public buildings. It is usually sold in rolls and is applied onto a wall using wallpaper paste. Wallpapers can come plain as "lining paper" (so that it can be painted or used to help cover uneven surfaces and minor wall defects thus giving a better surface), textured (such as Anaglypta), with a regular repeating pattern design, or, much less commonly today, with a single non-repeating large design carried over a set of sheets. The smallest rectangle that can be tiled to form the whole pattern is known as the pattern repeat. Wallpaper printing techniques include surface printing, gravure printing, silk screen-printing, rotary printing, and digital printing. Wallpaper is made in long rolls which are hung vertically on a wall. Patterned wallpapers are designed so that the pattern "repeats", and thus pieces cut from the same roll can be hung next to each other so as to continue the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Snub Triangular Tiling With Rhombitrihexagonal Coloring
A snub, cut or slight is a refusal to recognise an acquaintance by ignoring them, avoiding them or pretending not to know them. For example, a failure to greet someone may be considered a snub. In Awards and Lists For awards, the term "snub" is usually used to refer to a work or person that fails to be nominated or win award, with whether or not a person or work was legitimately snubbed for an award has often been subject for public debate. The term Snub has also been used in relation to lists, such as the NBA 75th Anniversary Team. Many of the most notable people and works have failed to be nominated or win a major award for example Alfred Hitchcock, Stanley Kubrick, and Spike Lee never won best director at the Oscars despite being nominated five, four, and one time respectively, Glenn Close, Peter O'Toole, and Cicely Tyson were also notable for having never won an Oscar related to acting despite each of them having multiple nominations. Among films, '' Citizen Kane'', '' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
