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Rhombitrihexagonal 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 three regular and eight 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, construc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geometry
Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician who works in the field of geometry is called a ''List of geometers, geometer''. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point (geometry), point, line (geometry), line, plane (geometry), plane, distance, angle, surface (mathematics), surface, and curve, as fundamental concepts. Originally developed to model the physical world, geometry has applications in almost all sciences, and also in art, architecture, and other activities that are related to graphics. Geometry also has applications in areas of mathematics that are apparently unrelated. For example, methods of algebraic geometry are fundamental in Wiles's proof of Fermat's Last Theorem, Wiles's proof of Fermat's ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Coxeter Diagram
Harold Scott MacDonald "Donald" Coxeter (9 February 1907 – 31 March 2003) was a British-Canadian geometer and mathematician. He is regarded as one of the greatest geometers of the 20th century. Coxeter was born in England and educated at the University of Cambridge, with student visits to Princeton University. He worked for 60 years at the University of Toronto in Canada, from 1936 until his retirement in 1996, becoming a full professor there in 1948. His many honours included membership in the Royal Society of Canada, the Royal Society, and the Order of Canada. He was an author of 12 books, including '' The Fifty-Nine Icosahedra'' (1938) and '' Regular Polytopes'' (1947). Many concepts in geometry and group theory are named after him, including the Coxeter graph, Coxeter groups, Coxeter's loxodromic sequence of tangent circles, Coxeter–Dynkin diagrams, and the Todd–Coxeter algorithm. Biography Coxeter was born in Kensington, England, to Harold Samuel Coxeter ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sevilla, Spain
Seville ( ; , ) 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 701,000 , and a Seville metropolitan area, metropolitan population of about 1.5 million, making it the largest city in Andalusia and the List of metropolitan areas in Spain, fourth-largest city in Spain. Its old town, with an area of , contains a UNESCO World Heritage Site comprising three buildings: the Alcázar of Seville, Alcázar palace complex, the Seville Cathedral, Cathedral and the General Archive of the Indies. The Seville harbour, located about from the Atlantic Ocean, is the only river port in Spain. The capital of Andalusia features hot temperatures in the summer, with daily maximums routinely above in July and August. Seville was founded ... [...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 hyp ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kensington (game)
275px, Kensington gameboard 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 is simple while still allowing for complex strategy. The placing and movement of tokens have been compared to nine men's morris. Board The gameboard consists of a combination of seven regular hexagons (2 red, 2 blue and 3 white), thirty squares, and twenty-four triangles. The board is composed of 72 total vertices where tokens can be placed. Gameplay The two players, Red and Blue, alternately place tokens of their respective color on unoccupied vertices of the board until each has placed fifteen. Thereafter they alternate turns sliding a single token of their color along ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kensington Board
Kensington is an area of London in the Royal Borough of Kensington and Chelsea, around 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 C ... [...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 Ken ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wallpaper Group-p6m-4
Wallpaper is used in interior decoration to cover 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" to help cover uneven surfaces and minor wall defects, "textured", plain with a regular repeating pattern design, or with a single non-repeating large design carried over a set of sheets. The smallest wallpaper rectangle that can be tiled to form the whole pattern is known as the pattern repeat. Wallpaper printing techniques include surface printing, rotogravure, screen-printing, rotary printing press, and digital printing. Modern wallpaper Modern 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 pattern without it being easy to see where the join between two pieces occurs. In the ca ... [...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 notable people and works have failed to be nominated or win a major award. For example, Alfred Hitchcock and Stanley Kubrick never won best director at the Oscars despite being nominated five and four times respectively, and Glenn Close, Peter O'Toole, Deborah Kerr, Sigourney Weaver and Cicely Tyson have never won an Oscar related to acting despite each having multiple nominations. Among films, ''Citizen Kane,'' ''E.T. the Extra-Terrestrial ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
