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Matemateca
Matemateca (Matemateca IME-USP) is a collection of objects related to mathematics and mathematics teaching that is housed in the Institute of Mathematics and Statistics of the University of São Paulo. It is an initiative that dates to 2003, when professors connected to IME mobilized and counted with the support of Pró-Reitorias de Graduação e de Cultura e Extensão da Universidade de São Paulo and CNPQ (National Research Council) to organize the collection. Matemateca organizes exhibitions open to the public. The professors in the Department of Mathematics of IME-USP (Institute of Mathematics and Statistics of the University of São Paulo) who initiated the project were Deborah Raphael, Eduardo Colli, and Sônia Garcia; Artur Simões Rozestraten from the Laboratory for Models and Tests (LAME) in the Department of Architectural Technology of the FAU-USP ( Faculty of Architecture and Urbanism of the University of São Paulo) partners with the IME. History In August 2002 th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Polyhedra
In geometry, a polyhedron (: polyhedra or polyhedrons; ) is a three-dimensional figure with flat polygonal faces, straight edges and sharp corners or vertices. The term "polyhedron" may refer either to a solid figure or to its boundary surface. The terms solid polyhedron and polyhedral surface are commonly used to distinguish the two concepts. Also, the term ''polyhedron'' is often used to refer implicitly to the whole structure formed by a solid polyhedron, its polyhedral surface, its faces, its edges, and its vertices. There are many definitions of polyhedron. Nevertheless, the polyhedron is typically understood as a generalization of a two-dimensional polygon and a three-dimensional specialization of a polytope, a more general concept in any number of dimensions. Polyhedra have several general characteristics that include the number of faces, topological classification by Euler characteristic, duality, vertex figures, surface area, volume, interior lines, Dehn invari ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Faculty Of Architecture And Urbanism Of The University Of São Paulo
Faculty or faculties may refer to: Academia * Faculty (academic staff), professors, researchers, and teachers of a given university or college (North American usage) * Faculty (division), a large department of a university by field of study (used outside North America) Biology * An ability of an individual ** Cognitive skills, colloquially ''faculties'' ** Senses or ''perceptive faculties''—such as sight, hearing or touch ** Faculty Psychology, suggests the mind is divided into sections, each assigned specific mental tasks. Business * Faculty (company), a British tech firm (formerly ''ASI'') Film and television * ''The Faculty'', a 1998 horror/sci-fi movie by Robert Rodriguez * ''The Faculty'' (TV series), a 1996 American sitcom Religious law * Faculty (canon law) A faculty is a legal instrument or warrant in canon law, usually an authorisation to do something. Catholic Church In the canon law of the Catholic Church, a faculty is "the authority, privilege, or p ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
State University Of Campinas
The University of Campinas (), commonly called Unicamp, is a public research university in the state of São Paulo (state), São Paulo, Brazil. Established in 1962, Unicamp was designed from scratch as an integrated Research institute, research center unlike other top Brazilian universities, usually created by the consolidation of previously existing schools and institutes. Its research focus reflects on almost half of its students being Postgraduate education, graduate students, the largest proportion across all large universities in Brazil, and also in the large number of graduate programs it offers: 153 compared to 70 undergraduate programs. It also offers several Continuing education, non-degree granting open-enrollment courses to around 8,000 students through its extension school. Its main campus occupies located in the district of Barão Geraldo, a suburban area from the downtown center of Campinas, built shortly after the creation of the university. It also has satelli ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Impossible Triangle
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. It cannot exist as a solid object in ordinary three-dimensional Euclidean space, although its surface can be embedded isometrically (bent but not stretched) in five-dimensional Euclidean space. 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, the mathematician and Nobel Prize laureate 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. Description The tribar/triangle appears to be a solid object, made of three straight beams of square cross-section whic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Reuleaux Triangle
A Reuleaux triangle is a circular triangle, curved triangle with curve of constant width, constant width, the simplest and best known curve of constant width other than the circle. It is formed from the intersection of three circle, circular disks, each having its center on the boundary of the other two. Constant width means that the separation of every two parallel supporting lines is the same, independent of their orientation. Because its width is constant, the Reuleaux triangle is one answer to the question "Other than a circle, what shape can a manhole cover be made so that it cannot fall down through the hole?" They are named after Franz Reuleaux,. a 19th-century German engineer who pioneered the study of machines for translating one type of motion into another, and who used Reuleaux triangles in his designs. However, these shapes were known before his time, for instance by the designers of Gothic architecture, Gothic church windows, by Leonardo da Vinci, who used it for a O ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Double Pendulum
In physics and mathematics, in the area of dynamical systems, a double pendulum, also known as a chaotic pendulum, is a pendulum with another pendulum attached to its end, forming a simple physical system that exhibits rich dynamical systems, dynamic behavior with a butterfly effect, strong sensitivity to initial conditions. The motion of a double pendulum is governed by a pair of coupled ordinary differential equations and is chaos theory, chaotic. Analysis and interpretation Several variants of the double pendulum may be considered; the two limbs may be of equal or unequal lengths and masses, they may be simple pendulums or compound pendulums (also called complex pendulums) and the motion may be in three dimensions or restricted to one vertical plane. In the following analysis, the limbs are taken to be identical compound pendulums of length and mass , and the motion is restricted to two dimensions. In a compound pendulum, the mass is distributed along its length. If the d ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harmonograph
A harmonograph is a mechanical apparatus that employs pendulums to create a geometric image. The drawings created typically are Lissajous curves or related drawings of greater complexity. The devices, which began to appear in the mid-19th century and peaked in popularity in the 1890s, cannot be conclusively attributed to a single person, although Hugh Blackburn, a professor of mathematics at the University of Glasgow, is commonly believed to be the official inventor. A simple, so-called "lateral" harmonograph uses two pendulums to control the movement of a pen relative to a drawing surface. One pendulum moves the pen back and forth along one axis, and the other pendulum moves the drawing surface back and forth along a perpendicular axis. By varying the frequency and phase of the pendulums relative to one another, different patterns are created. Even a simple harmonograph as described can create ellipses, spirals, figure eights and other Lissajous figures. More complex harmono ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chladni Figures
Ernst Florens Friedrich Chladni (, , ; 30 November 1756 – 3 April 1827) was a German physicist and musician. His most important work, for which he is sometimes labeled the father of acoustics, included research on vibrating plates and the calculation of the speed of sound for different gases. He also undertook pioneering work in the study of meteorites and is regarded by some as the father of meteoritics. Early life Although Chladni was born in Wittenberg in Saxony, his family originated from Kremnica, then part of the Kingdom of Hungary and today a mining town in central Slovakia. Chladni has therefore been identified as German, Hungarian and Slovak. Chladni came from an educated family of academics and learned men. Chladni's great-grandfather, the Lutheran clergyman Georg Chladni (1637–1692), had left Kremnica in 1673 during the Counter Reformation. Chladni's grandfather, Martin Chladni (1669–1725), was also a Lutheran theologian and, in 1710, became professo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Institute Of Mathematics And Statistics, University Of São Paulo
The Institute of Mathematics and Statistics of the University of São Paulo (IME-USP) is a teaching, research and extension unit. A unit is located at Cidade Universitária, São Paulo. History Prior to the founding of the IME in 1970, Mathematics studies took place mainly in the Polytechnic School, whose activities began in 1893, even before the foundation of USP. The University of São Paulo was created in 1934, from the junction of existing faculties and the creation of other units, such as the Faculty of Philosophy, Sciences and Letters (FFCL). The FFCL was responsible for teaching courses in all areas of knowledge, predominantly cultural or scientific, including the Mathematical Sciences course. Formerly located at Alameda Glete, in 1949 the FFCL started to operate on the Maria Antonia Street campus. In the late 60's and early 70's, she was transferred to the Butantã campus and dismembered in several institutes, such as Psychology, Chemistry, Physics and Mathematics and Stati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chladni's Law
Chladni's law, named after Ernst Chladni, relates the frequency of modes of vibration for flat circular surfaces with fixed center as a function of the numbers ''m'' of diametric (linear) nodes and ''n'' of radial (circular) nodes. It is stated as the equation : f = C (m + 2n)^p where ''C'' and ''p'' are coefficients which depend on the properties of the plate. For flat circular plates, ''p'' is roughly 2, but Chladni's law can also be used to describe the vibrations of cymbals, handbells, and church bells in which case ''p'' can vary from 1.4 to 2.4.. In fact, ''p'' can even vary for a single object, depending on which family of modes is being examined. References External linksA Study of Vibrating Plates by Derek Kverno and Jim Nolen (Archived 27 July 2011) Waves Quantum mechanics {{applied-math-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Creative Commons
Creative Commons (CC) is an American non-profit organization and international network devoted to educational access and expanding the range of creative works available for others to build upon legally and to share. The organization has released several copyright licenses, known as Creative Commons licenses, free of charge to the public. These licenses allow authors of creative works to communicate which rights they reserve and which rights they waive for the benefit of recipients or other creators. A simplified one-page explanation of rights, with associated visual symbols, explains the specifics of each Creative Commons license. Content owners still maintain their copyright, but Creative Commons licenses give standard releases that replace the individual negotiations for specific rights between copyright owner (licensor) and licensee, that are necessary under an "all rights reserved" copyright management. The organization was founded in 2001 by Lawrence Lessig, Hal Abelson, an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
