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Umbilic Torus
The umbilic torus or umbilic bracelet is a single-edged 3-dimensional shape. The lone edge goes three times around the ring before returning to the starting point. The shape also has a single external face. A cross section (geometry), cross section of the surface forms a Deltoid curve, deltoid. The umbilic torus occurs in the mathematical subject of singularity theory, in particular in the classification of umbilical points which are determined by real cubic forms a x^3 + 3 b x^2 y + 3 c x y^2 + d y^3. The equivalence classes of such cubics form a three-dimensional real projective space and the subset of parabolic forms define a surface – the umbilic torus. Christopher Zeeman named this set the umbilic bracelet in 1976. The torus is defined by the following set of parametric equations. :x = \sin u \left(7+\cos\left( - 2v\right) + 2\cos\left( + v\right)\right) :y = \cos u \left(7 + \cos\left( - 2v\right) + 2\cos\left( + v\right)\right) :z = \sin\left( - 2v\right) + 2\sin \lef ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Petrie Plaza
Petrie Plaza is a pedestrian mall located in Civic, Australian Capital Territory (Canberra City), Australia, being the largest centre within the Australian Capital Territory. Petrie Plaza was created from pedestrianising part of Petrie Street, which is a road running between London Circuit and Bunda Street. History Petrie Street and Petrie Plaza are named after the Petrie family from Queensland. The street has been closely associated with business and banking in Canberra due to the location of many corporations in this area. In the 1960s, those that lived on acreage in the outskirts of Canberra and travelled into the city for work were called 'Petrie Street farmers' The street was partially closed to vehicular traffic in 1965 to create Petrie Plaza, although not all residents were proponents of the change. Parts of Petrie Street were closed in 2015 to construct the shareway. The Liam Neeson movie Blacklight A blacklight, also called a UV-A light, Wood's lamp, or ultravi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Umbilic Torus SBU
In the differential geometry of surfaces in three dimensions, umbilics or umbilical points are points on a surface that are locally spherical. At such points the normal curvatures in all directions are equal, hence, both principal curvatures are equal, and every tangent vector is a ''principal direction''. The name "umbilic" comes from the Latin ''umbilicus'' (navel). Umbilic points generally occur as isolated points in the elliptical region of the surface; that is, where the Gaussian curvature is positive. The sphere is the only surface with non-zero curvature where every point is umbilic. A flat umbilic is an umbilic with zero Gaussian curvature. The monkey saddle is an example of a surface with a flat umbilic and on the plane every point is a flat umbilic. A closed surface topologically equivalent to a torus may or may not have zero umbilics, but every closed surface of nonzero Euler characteristic, embedded smoothly into Euclidean space, has at least one umbilic. A famous co ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Torus
In geometry, a torus (: tori or toruses) is a surface of revolution generated by revolving a circle in three-dimensional space one full revolution about an axis that is coplanarity, coplanar with the circle. The main types of toruses include ring toruses, horn toruses, and spindle toruses. A ring torus is sometimes colloquially referred to as a donut or doughnut. If the axis of revolution does not touch the circle, the surface has a ring shape and is called a torus of revolution, also known as a ring torus. If the axis of revolution is tangent to the circle, the surface is a horn torus. If the axis of revolution passes twice through the circle, the surface is a Lemon (geometry), spindle torus (or ''self-crossing torus'' or ''self-intersecting torus''). If the axis of revolution passes through the center of the circle, the surface is a degenerate torus, a double-covered sphere. If the revolved curve is not a circle, the surface is called a ''toroid'', as in a square toroid. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Möbius Strip
In mathematics, a Möbius strip, Möbius band, or Möbius loop is a Surface (topology), 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 Ancient Rome, Roman mosaics from the third century Common Era, CE. The Möbius strip is a orientability, non-orientable surface, meaning that within it one cannot consistently distinguish clockwise from counterclockwise turns. Every non-orientable surface contains a Möbius strip. As an abstract topological space, the Möbius strip can be embedded into three-dimensional Euclidean space in many different ways: a clockwise half-twist is different from a counterclockwise half-twist, and it can also be embedded with odd numbers of twists greater than one, or with a Knot (mathematics), knotted centerline. Any two embeddings with the same knot for the centerline and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Theodore Sturgeon
Theodore Sturgeon (; born Edward Hamilton Waldo, February 26, 1918 – May 8, 1985) was an American author of primarily fantasy fiction, fantasy, science fiction, and Horror fiction, horror, as well as a critic. He wrote approximately 400 reviews and more than 120 short stories, 11 novels, and several scripts for ''Star Trek: The Original Series''. Sturgeon's science fiction novel ''More Than Human'' (1953) won the 1954 International Fantasy Award (for SF and fantasy) as the year's best novel, and the Science Fiction Writers of America ranked "Baby Is Three" number five among the "The Science Fiction Hall of Fame, Volume Two, Greatest Science Fiction Novellas of All Time" to 1964. Ranked by votes for all of their pre-1965 novellas, Sturgeon was The Science Fiction Hall of Fame, Volume Two#Authors, second among authors, behind Robert Heinlein. The Science Fiction and Fantasy Hall of Fame inducted Sturgeon in 2000, its fifth class of two dead and two living writers. Biogra ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Simons Center For Geometry And Physics
The Simons Center for Geometry and Physics is a center for theoretical physics and mathematics at Stony Brook University in New York. The focus of the center is mathematical physics and the interface of geometry and physics. It was founded in 2007 by a gift from the James and Marilyn Simons Foundation. The center's current director is physicist Luis Álvarez-Gaumé. History Background James H. Simons was the chair of the mathematics department at Stony Brook from 1968 to 1976. After deciding to leave academia, he then went on to make billions with his investment firm Renaissance Technologies. On February 27, 2008 he announced a donation totaling $60 million (including a $25 million gift two years prior) to the mathematics and physics departments. This was the largest single gift ever given to any of the SUNY schools. The gift came during Stony Brook's 50th anniversary and shortly after Gov. Spitzer announced his commitment to make Stony Brook a “flagship” of the SUNY sy ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stony Brook University
Stony Brook University (SBU), officially the State University of New York at Stony Brook, is a public university, public research university in Stony Brook, New York, United States, on Long Island. Along with the University at Buffalo, it is one of the State University of New York system's two Flagship#University, flagship institutions. Its campus consists of 213 buildings on over of land in Suffolk County, New York, Suffolk County and it is the largest public university (by area) in the state of New York. Opened in 1957 in Oyster Bay (hamlet), New York, Oyster Bay as the State University College on Long Island, the institution moved to Stony Brook, New York, Stony Brook in 1962. Stony Brook is part of the Association of American Universities and the Universities Research Association. It is Carnegie Classification of Institutions of Higher Education, classified among "R1: Doctoral Universities – Very high research activity". Stony Brook University, in partnership with Batt ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
James Harris Simons
James Harris Simons (April 25, 1938 – May 10, 2024) was an American hedge fund manager, investor, mathematician, and philanthropist. At the time of his death, Simons's net worth was estimated to be $31.4 billion, making him the 55th-richest person in the world. He was the founder of Renaissance Technologies, a quantitative hedge fund based in East Setauket, New York. He and his fund are known to be quantitative investors, using mathematical models and algorithms to make investment gains from market inefficiencies. Due to the long-term aggregate investment returns of Renaissance and its Medallion Fund, Simons was called the "greatest investor on Wall Street" and more specifically "the most successful hedge fund manager of all time". Simons developed the Chern–Simons form (with Shiing-Shen Chern), and contributed to the development of string theory by providing a theoretical framework to combine geometry and topology with quantum field theory. In 1994, Simons and his w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Helaman Ferguson
Helaman Rolfe Pratt Ferguson (born 1940 in Salt Lake City, Utah) is an American sculptor and a digital artist, specifically an algorist. He is also well known for his development of the PSLQ algorithm, an integer relation detection algorithm. Early life and education Ferguson's mother died when he was about three and his father went off to serve in the Second World War. He was adopted by an Irish immigrant and raised in New York. He learned to work with his hands in an old-world style with earthen materials from his adoptive father who was a carpenter and stonemason by trade. An art-inclined math teacher in high school helped him develop his dual interests in math and art. Ferguson is a graduate of Hamilton College, a liberal arts school in New York. In 1971, he received a Ph.D. in mathematics from the University of Washington. Work In 1977, Ferguson and another mathematician, Rodney Forcade, developed an algorithm for integer relation detection. It was the first viable gen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ian R
Ian or Iain is a name of Scottish Gaelic origin, which is derived from the Hebrew given name (Yohanan, ') and corresponds to the English name John (given name), John. The spelling Ian is an Anglicization of the Scottish Gaelic forename ''Iain''. This name is a popular name in Scotland, where it originated, as well as in other English-speaking world, English-speaking countries. The name has fallen out of the top 100 male baby names in the United Kingdom, having peaked in popularity as one of the top 10 names throughout the 1960s. In 1900, Ian ranked as the 180th most popular male baby name in England and Wales. , the name has been in the top 100 in the United States every year since 1982, peaking at 65 in 2003. Other Gaelic forms of the name "John" include "Seonaidh" ("Johnny" from Scots language, Lowland Scots), "Seon" (from English), "Seathan", and "Seán" and "Eoin" (from Irish language, Irish). The Welsh language, Welsh equivalent is Ioan (other), Ioan, the Cornish la ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Umbilic Torus
The umbilic torus or umbilic bracelet is a single-edged 3-dimensional shape. The lone edge goes three times around the ring before returning to the starting point. The shape also has a single external face. A cross section (geometry), cross section of the surface forms a Deltoid curve, deltoid. The umbilic torus occurs in the mathematical subject of singularity theory, in particular in the classification of umbilical points which are determined by real cubic forms a x^3 + 3 b x^2 y + 3 c x y^2 + d y^3. The equivalence classes of such cubics form a three-dimensional real projective space and the subset of parabolic forms define a surface – the umbilic torus. Christopher Zeeman named this set the umbilic bracelet in 1976. The torus is defined by the following set of parametric equations. :x = \sin u \left(7+\cos\left( - 2v\right) + 2\cos\left( + v\right)\right) :y = \cos u \left(7 + \cos\left( - 2v\right) + 2\cos\left( + v\right)\right) :z = \sin\left( - 2v\right) + 2\sin \lef ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
John Robinson (sculptor)
John Robinson (4 May 1935 – 6 April 2007) was a British sculptor and co-founder of the Bradshaw Foundation. Accounts of his work may be seen at the Robinson estate website, the website of the Centre for the Popularisation of Mathematics and the June and July 2007, issues of Hyperseeing. Among other distinctions, he was the Official Sculptor for the British Olympic Committee in 1988, and a University of Wales Honorary Fellow, 1992. Sculpture Figurative sculptures Robinson first made a name for himself with representational pieces. His figurative bronzes ranged in scope and scale from life-size commissioned sculptures of children to athletic sculptures, and included a commissioned bust of Elizabeth II of the United Kingdom, Queen Elizabeth and another of the Elizabeth Bowes-Lyon, Queen Mother. His representational sports figure ''Acrobats'' (1980, 5 metres) was first mounted at the Hyatt Regency hotel in Maui, Hawaii. There are another 7 examples around the world, one of whi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
