In mathematics, the Klein bottle is an example of a non-orientable surface; that is, informally, a one-sided surface which, if traveled upon, could be followed back to the point of origin while flipping the traveler upside down. More formally, the Klein bottle is a two-dimensional manifold on which one cannot define a normal vector at each point that varies continuously over the whole manifold. Other related non-orientable surfaces include the Möbius strip and the real projective plane. While a Möbius strip is a surface with a boundary, a Klein bottle has no boundary. For comparison, a sphere is an orientable surface with no boundary.
In mathematics, a Möbius strip, Möbius band, or Möbius loop is a surface that can be formed by attaching the ends of a strip of paper together with a half-twist. As a mathematical object, it was discovered by Johann Benedict Listing and August Ferdinand Möbius in 1858, but it had already appeared in Roman mosaics from the third century CE. The Möbius strip is a non-orientable surface, meaning that within it one cannot consistently distinguish clockwise from counterclockwise turns. Every non-orientable surface contains a Möbius strip.
The Penrose triangle, also known as the Penrose tribar, the impossible tribar, or the impossible triangle, is a triangular impossible object, an optical illusion consisting of an object which can be depicted in a perspective drawing, but cannot exist as a solid object. It was first created by the Swedish artist Oscar Reutersvärd in 1934. Independently from Reutersvärd, the triangle was devised and popularized in the 1950s by psychiatrist Lionel Penrose and his son, prominent Nobel Prize-winning mathematician Sir Roger Penrose, who described it as "impossibility in its purest form". It is featured prominently in the works of artist M. C. Escher, whose earlier depictions of impossible objects partly inspired it.
Changsha is the capital and the largest city of Hunan Province of China. Changsha is the 17th most populous city in China with a population of over 10 million, and the third-most populous city in Central China, located in the lower reaches of the Xiang River in northeastern Hunan. Changsha is also called Xingcheng and was once named Linxiang, Tanzhou, and Qingyang (青阳) in ancient times. It is also known as Shanshuizhoucheng (山水洲城), with the Xiang River flowing through it, containing Mount Yuelu and Orange Isle. The city forms a part of the Greater Changsha Metropolitan Region along with Zhuzhou and Xiangtan, also known as Changzhutan City Cluster. Greater Changsha was named one of the 13 emerging mega-cities in China in 2012 by the Economist Intelligence Unit. It is also a National Comprehensive Transportation Hub, and one of the first National Famous Historical and Cultural Cities in China. Changshanese, a kind of Xiang Chinese, is spoken in the downtown, while Ningxiangnese and Liuyangnese are also spoken in the counties and cities under its jurisdiction. As of the 2020 Chinese census, the prefecture-level city of Changsha had a population of 10,047,914 inhabitants.
Disentanglement puzzles are a type or group of mechanical puzzle that involves disentangling one piece or set of pieces from another piece or set of pieces. Several subtypes are included under this category, the names of which are sometimes used synonymously for the group: wire puzzles; nail puzzles; ring-and-string puzzles; et al. Although the initial object is disentanglement, the reverse problem of reassembling the puzzle can be as hard as—or even harder than—disentanglement. There are several different kinds of disentanglement puzzles, though a single puzzle may incorporate several of these features.
Hunan University is a public university in Yuelu, Changsha, Hunan, China. It is affiliated with the Ministry of Education. The university is part of Project 211, Project 985, and the Double First-Class Construction.
The First Battle of Changsha was the first of four attempts by Japan to take the city of Changsha, Hunan, during the second Sino-Japanese War. Coming two weeks after Germany's invasion of Poland on September 1, it was the first major battle of the war to fall within the time frame of what is widely considered World War II.
The third Battle of Changsha was the first major offensive in China by Imperial Japanese forces following the Japanese attack on the Western Allies and the attack on Pearl Harbor. The offensive resulted in failure for the Japanese, as Chinese forces were able to lure them into a trap and encircle them. After suffering heavy casualties, Japanese forces were forced to carry out a general retreat.
Kohn Pedersen Fox Associates (KPF) is an American architectural firm based in New York City. that provides architecture, interior, programming and master planning services. They do different projects that includes civic and cultural spaces, commercial office buildings, transportation facilities, residential and hospitality developments, educational and institutional facilities, and mixed-use commercial developments. KPF has 600+ employees.
In graph theory, the Möbius ladderMn, for even numbers n, is formed from an n-cycle by adding edges connecting opposite pairs of vertices in the cycle. It is a cubic, circulant graph, so-named because (with the exception of M6, Mn has exactly n/2 four-cycles which link together by their shared edges to form a topological Möbius strip. Möbius ladders were named and first studied by Guy and Harary .
Changsha Ferris Wheel is a 120-meter (390 ft)-tall giant Ferris wheel in Changsha, Hunan, China that has a diameter of 99 meters (325 ft). It is adjacent to Helong Stadium.
Changsha South railway station is a metro station and a railway station of Wuguang Passenger Railway and Hukun Passenger Railway. The station is located in Lituo Subdistrict, Yuhua District, Changsha, Hunan, China. It is a hub and the connecting point of Beijing–Guangzhou–Shenzhen–Hong Kong High-Speed Railway, Shanghai–Kunming High-Speed Railway and the proposed Xiamen-Changsha-Chongqing High-Speed Railway. The station was opened on 26 December 2009.
Zhang Chenglin is a Chinese professional footballer who plays as a defender.
Mobius Motors Kenya Ltd is a vehicle re-assembler founded in 2010. The company was incorporated in the United Kingdom in 2010 and registered in Kenya in 2011. As of 2018, the company was in the process of building an in country manufacturing plant.
The Changsha Metro is a rapid transit system in Changsha, the capital city of Hunan province in China. The first operational line, Line 2, commenced service on April 29, 2014, making Changsha the 18th city in mainland China to open a rapid transit system.
The Changsha Maglev Express is a medium-low speed magnetic levitation, or maglev line in Changsha, China. This is China's second maglev line, after Shanghai Maglev, and the first domestically built maglev line, which uses indigenous technology. The line stretches over 18.55 kilometers (11.53 mi) and runs between Changsha Huanghua International Airport, Langli station and the high-speed railway station Changsha South railway station.
The Liuyang River, also known as Liu River or Liuwei River, is a right-bank tributary of Xiang River, the largest tributary of Xiang River in Changsha, Hunan Province, China. The river has a length of 234.8 kilometres (145.9 mi) with its drainage area of 4,665 square kilometres (1,801 sq mi), accounting for 39.47% of the total area of Changsha, with surface water resources of 4,506 million cubic meters, accounting for 41.08% of that. It flows through Liuyang City, Changsha County, Yuhua, Furong and Kaifu Districts, and merges into Xiang River at Xinhe Delta Mouth of Kaifu District.
Meixi Lake Park is a public, urban park in Yuelu District of Changsha, Hunan, China. Covering an area of 14.8-square-kilometre (5.7 sq mi), the park was established in 2012 and opened to the public in 2016. Meixi Lake Park is bordered by West Fenglin Road (枫林西路) on the North, Third Ring Road (三环线) on the West, Taohualing scenery spot (桃花岭景区) on the South, and West Second Ring Road (西二环) on the East. It is a multifunctional botanical garden integrating recreation, physical activities, plant species collection and display as well as tourism.
The Phoenix International Media Centre, also known as the Phoenix Centre is a building in Beijing, China. It is located in the southwestern corner of Chaoyang Park in Beijing. The centre features a torus-like design. The building's sculptural shape originates from the "Möbius strip" and establishes a harmonical relationship with the alignment of the turning road, the street corner, and Chaoyang Park.
Changsha (173) is a Type 052D destroyer of the People's Liberation Army Navy. She was commissioned on 12 August 2015.
NEXT Architects Lucky Knot Photography Julien Lanoo [5] 