George Phillips Odom Jr.
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George Phillips Odom Jr.
George Phillips Odom Jr. (1941 – 18 December 2010) was an American artist and amateur geometer who is primarily known for his work on the golden ratio (\Phi). Life and work Odom garnered some recognition early in his career for his light machines made from fibre optics, that he exhibited at the ''Knoll International Gallery'' in Manhattan in the 1960s. Later his career faltered somewhat and he could not repeat his early success. Odom suffered from depressions which ultimately culminated in a suicide attempt and a subsequent hospitalization at the '' Hudson River Psychiatric Center'' in Poughkeepsie, where he became a permanent resident starting in the early 1980s. Odom became interested in geometry after visiting an exhibition by Buckminster Fuller in the 1960s. In the mid 1970s he contacted the Canadian geometer Harold Coxeter as he felt his art work was of some mathematical interest as well. This led to a longtime correspondence with Coxeter and another mathematician Magnus We ...
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Golden Ratio
In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Expressed algebraically, for quantities a and b with a > b > 0, where the Greek letter phi ( or \phi) denotes the golden ratio. The constant \varphi satisfies the quadratic equation \varphi^2 = \varphi + 1 and is an irrational number with a value of The golden ratio was called the extreme and mean ratio by Euclid, and the divine proportion by Luca Pacioli, and also goes by several other names. Mathematicians have studied the golden ratio's properties since antiquity. It is the ratio of a regular pentagon's diagonal to its side and thus appears in the construction of the dodecahedron and icosahedron. A golden rectangle—that is, a rectangle with an aspect ratio of \varphi—may be cut into a square and a smaller rectangle with the same aspect ratio. The golden ratio has been used to analyze the proportions of natural object ...
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Odom2
Odom is a surname originating from England. Notable people with the surname include: * Andrew Odom (1936–1991), American blues singer and songwriter * Antwan Odom (born 1981), American football player * Barry Odom (born 1976), American football coach * Bob Odom (born 1935), former Louisiana Commissioner of Agriculture and Forestry * Carmen Hooker Odom, former state government agency head * Christopher C. Odom (born 1970), movie director * Chris Odom (born 1994), American football player * Cliff Odom, American football player * Dave Odom (born 1942), American basketball coach * Duncan Odom, cancer genetics researcher at the University of Cambridge * Elzie Odom (born 1929), American politician * Frederick M. Odom (c. 1871–1960), Justice of the Louisiana Supreme Court * Gary Odom, Tennessee politician * George Odom (other) * Heinie Odom (1900–1970), American baseball player * Jason Odom (born 1974), American football player * Joe Odom (attorney) (1948–1991), ...
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1941 Births
Events Below, the events of World War II have the "WWII" prefix. January * January–August – 10,072 men, women and children with mental and physical disabilities are asphyxiated with carbon monoxide in a gas chamber, at Hadamar Euthanasia Centre in Germany, in the first phase of mass killings under the Action T4 program here. * January 1 – Thailand's Prime Minister Plaek Phibunsongkhram decrees January 1 as the official start of the Thai solar calendar new year (thus the previous year that began April 1 had only 9 months). * January 3 – A decree (''Normalschrifterlass'') promulgated in Germany by Martin Bormann, on behalf of Adolf Hitler, requires replacement of blackletter typefaces by Antiqua. * January 4 – The short subject ''Elmer's Pet Rabbit'' is released, marking the second appearance of Bugs Bunny, and also the first to have his name on a title card. * January 5 – WWII: Battle of Bardia in Libya: Australian and British troops def ...
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American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs. The society is one of the four parts of the Joint Policy Board for Mathematics and a member of the Conference Board of the Mathematical Sciences. History The AMS was founded in 1888 as the New York Mathematical Society, the brainchild of Thomas Fiske, who was impressed by the London Mathematical Society on a visit to England. John Howard Van Amringe was the first president and Fiske became secretary. The society soon decided to publish a journal, but ran into some resistance, due to concerns about competing with the American Journal of Mathematics. The result was the ''Bulletin of the American Mathematical Society'', with Fiske as editor-in-chief. The de facto journal, as intended, was influential in in ...
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Doris Schattschneider
Doris J. Schattschneider (née Wood) is an American mathematician, a retired professor of mathematics at Moravian College. She is known for writing about tessellations and about the art of M. C. Escher,.. for helping Martin Gardner validate and popularize the pentagon tiling discoveries of amateur mathematician Marjorie Rice, and for co-directing with Eugene Klotz the project that developed The Geometer's Sketchpad. Biography Schattschneider was born in Staten Island; her mother, Charlotte Lucile Ingalls Wood, taught Latin and was herself the daughter of a Staten Island school principal, and her father, Robert W. Wood, Jr., was an electrical engineer who worked for the New York City Bureau of Bridge Design.. Her family moved to Lake Placid, New York during World War II, while her father served as an engineer for the U. S. Army; she began her schooling in Lake Placid, but returned to Staten Island after the war. She did her undergraduate studies in mathematics at the University of ...
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Siobhan Roberts
Siobhan Roberts is a Canadians, Canadian science journalist, biographer, and history of mathematics, historian of mathematics. Education Roberts was born in Belleville, Ontario. She earned a degree in history at Queen's University at Kingston, Queen's University, then a graduate degree in journalism from Ryerson University in 1997. Books Roberts is the author of: *''King of Infinite Space: Donald Coxeter, the Man Who Saved Geometry'', about Harold Scott MacDonald Coxeter (Walker & Company, 2006), winner of the Euler Book Prize of the Mathematical Association of America *''Wind Wizard: Alan G. Davenport and the Art of Wind Engineering'', about Alan Garnett Davenport (Princeton University Press, 2012), winner of the W. Gordon Plewes History Award of the Canadian Society for Civil Engineering *''Genius At Play: The Curious Mind of John Horton Conway'', about John Horton Conway (Bloomsbury, 2015) Recognition Roberts has won a number of Canadian National Media Awards Foundation, ...
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John Horton Conway
John Horton Conway (26 December 1937 – 11 April 2020) was an English mathematician active in the theory of finite groups, knot theory, number theory, combinatorial game theory and coding theory. He also made contributions to many branches of recreational mathematics, most notably the invention of the cellular automaton called the Game of Life. Born and raised in Liverpool, Conway spent the first half of his career at the University of Cambridge before moving to the United States, where he held the John von Neumann Professorship at Princeton University for the rest of his career. On 11 April 2020, at age 82, he died of complications from COVID-19. Early life and education Conway was born on 26 December 1937 in Liverpool, the son of Cyril Horton Conway and Agnes Boyce. He became interested in mathematics at a very early age. By the time he was 11, his ambition was to become a mathematician. After leaving sixth form, he studied mathematics at Gonville and Caius College, Camb ...
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Princeton University
Princeton University is a private university, private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial Colleges, fourth-oldest institution of higher education in the United States and one of the nine colonial colleges chartered before the American Revolution. It is one of the highest-ranked universities in the world. The institution moved to Newark, New Jersey, Newark in 1747, and then to the current site nine years later. It officially became a university in 1896 and was subsequently renamed Princeton University. It is a member of the Ivy League. The university is governed by the Trustees of Princeton University and has an endowment of $37.7 billion, the largest List of colleges and universities in the United States by endowment, endowment per student in the United States. Princeton provides undergraduate education, undergraduate and graduate education, graduate in ...
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Tetrahedron
In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners. The tetrahedron is the simplest of all the ordinary convex polyhedra and the only one that has fewer than 5 faces. The tetrahedron is the three-dimensional case of the more general concept of a Euclidean simplex, and may thus also be called a 3-simplex. The tetrahedron is one kind of pyramid, which is a polyhedron with a flat polygon base and triangular faces connecting the base to a common point. In the case of a tetrahedron the base is a triangle (any of the four faces can be considered the base), so a tetrahedron is also known as a "triangular pyramid". Like all convex polyhedra, a tetrahedron can be folded from a single sheet of paper. It has two such nets. For any tetrahedron there exists a sphere (called the circumsphere) on which all four vertices lie, and another sphere ...
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Platonic Solid
In geometry, a Platonic solid is a convex, regular polyhedron in three-dimensional Euclidean space. Being a regular polyhedron means that the faces are congruent (identical in shape and size) regular polygons (all angles congruent and all edges congruent), and the same number of faces meet at each vertex. There are only five such polyhedra: Geometers have studied the Platonic solids for thousands of years. They are named for the ancient Greek philosopher Plato who hypothesized in one of his dialogues, the ''Timaeus'', that the classical elements were made of these regular solids. History The Platonic solids have been known since antiquity. It has been suggested that certain carved stone balls created by the late Neolithic people of Scotland represent these shapes; however, these balls have rounded knobs rather than being polyhedral, the numbers of knobs frequently differed from the numbers of vertices of the Platonic solids, there is no ball whose knobs match the 20 vertic ...
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Odom Cube2
Odom is a surname originating from England. Notable people with the surname include: * Andrew Odom (1936–1991), American blues singer and songwriter * Antwan Odom (born 1981), American football player * Barry Odom (born 1976), American football coach * Bob Odom (born 1935), former Louisiana Commissioner of Agriculture and Forestry * Carmen Hooker Odom, former state government agency head * Christopher C. Odom (born 1970), movie director * Chris Odom (born 1994), American football player * Cliff Odom, American football player * Dave Odom (born 1942), American basketball coach * Duncan Odom, cancer genetics researcher at the University of Cambridge * Elzie Odom (born 1929), American politician * Frederick M. Odom (c. 1871–1960), Justice of the Louisiana Supreme Court * Gary Odom, Tennessee politician * George Odom (other) * Heinie Odom (1900–1970), American baseball player * Jason Odom (born 1974), American football player * Joe Odom (attorney) (1948–1991), ...
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Golden Section
In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Expressed algebraically, for quantities a and b with a > b > 0, where the Greek letter phi ( or \phi) denotes the golden ratio. The constant \varphi satisfies the quadratic equation \varphi^2 = \varphi + 1 and is an irrational number with a value of The golden ratio was called the extreme and mean ratio by Euclid, and the divine proportion by Luca Pacioli, and also goes by several other names. Mathematicians have studied the golden ratio's properties since antiquity. It is the ratio of a regular pentagon's diagonal to its side and thus appears in the construction of the dodecahedron and icosahedron. A golden rectangle—that is, a rectangle with an aspect ratio of \varphi—may be cut into a square and a smaller rectangle with the same aspect ratio. The golden ratio has been used to analyze the proportions of natural objects ...
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