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Borromean rings

Index Borromean rings

In mathematics, the Borromean rings consist of three topological circles which are linked and form a Brunnian link (i.e., removing any ring results in two unlinked rings). [1]

86 relations: American Mathematical Monthly, Arbitrarily large, Aristocracy, Arithmetic topology, Biology, Borromean nucleus, Brady Haran, Braid, Brunnian link, Caesium, Chemical Science (journal), Chemistry, Circle, Clausen function, Coat of arms, Cohomology, Commutator, Coordination complex, Cyclic order, Diane de Poitiers, Discordianism, DNA, Eccentricity (mathematics), Efimov state, Fraser Stoddart, Free group, Fundamental group, Gankyil, Giuseppe Resnati, Graph theory, Group action, Halogen bond, Hopf link, House of Borromeo, Hyperbolic 3-manifold, Hyperbolic link, Hyperbolic volume, International Mathematical Union, Jacques Lacan, John Robinson (sculptor), Knot (mathematics), Knot theory, Legendre symbol, Link (knot theory), List of Martin Gardner Mathematical Games columns, Lithium, Lombardy, Madrid, Martin Gardner, Marundeeswarar Temple, ..., Massey product, Mathematics, Mechanically interlocked molecular architectures, Molecular Borromean rings, Monkey's fist, New York University, Norsemen, Northern Italy, Octahedron, P. Ballantine and Sons Brewing Company, Pabst Brewing Company, Physical Review Letters, Picture stone, Pochhammer contour, Prime number, Principia Discordia, Regular polyhedron, Rice University, Science (journal), Scientific American, Seifert–van Kampen theorem, Self-assembly, Shield of the Trinity, Snoldelev Stone, Spain, Sport Club Internacional, The Mathematical Intelligencer, Thiruvanmiyur, Topology, Trinity, Triquetra, University of California, Los Angeles, Unlink, Valknut, Venn diagram, Vitaly Efimov. Expand index (36 more) »

American Mathematical Monthly

The American Mathematical Monthly is a mathematical journal founded by Benjamin Finkel in 1894.

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Arbitrarily large

In mathematics, the phrases arbitrarily large, arbitrarily small, and arbitrarily long are used in statements such as: which is shorthand for: "Arbitrarily large" is not equivalent to "sufficiently large".

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Aristocracy

Aristocracy (Greek ἀριστοκρατία aristokratía, from ἄριστος aristos "excellent", and κράτος kratos "power") is a form of government that places strength in the hands of a small, privileged ruling class.

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Arithmetic topology

Arithmetic topology is an area of mathematics that is a combination of algebraic number theory and topology.

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Biology

Biology is the natural science that studies life and living organisms, including their physical structure, chemical composition, function, development and evolution.

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Borromean nucleus

A Borromean nucleus is an atomic nucleus that has a nuclear halo containing two neutrons.

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Brady Haran

Brady John Haran (born 18 June 1976) is an Australian-born British independent filmmaker and video journalist who is known for his educational videos and documentary films produced for BBC News and his YouTube channels, the most notable being Periodic Videos and Numberphile.

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Braid

A braid (also referred to as a plait) is a complex structure or pattern formed by interlacing three or more strands of flexible material such as textile yarns, wire, or hair.

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Brunnian link

In knot theory, a branch of topology, a Brunnian link is a nontrivial link that becomes a set of trivial unlinked circles if any one component is removed.

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Caesium

Caesium (British spelling and IUPAC spelling) or cesium (American spelling) is a chemical element with symbol Cs and atomic number 55.

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Chemical Science (journal)

Chemical Science is a monthly peer-reviewed scientific journal covering all aspects of chemistry.

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Chemistry

Chemistry is the scientific discipline involved with compounds composed of atoms, i.e. elements, and molecules, i.e. combinations of atoms: their composition, structure, properties, behavior and the changes they undergo during a reaction with other compounds.

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Circle

A circle is a simple closed shape.

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Clausen function

In mathematics, the Clausen function, introduced by, is a transcendental, special function of a single variable.

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Coat of arms

A coat of arms is a heraldic visual design on an escutcheon (i.e., shield), surcoat, or tabard.

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Cohomology

In mathematics, specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups associated to a topological space, often defined from a cochain complex.

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Commutator

In mathematics, the commutator gives an indication of the extent to which a certain binary operation fails to be commutative.

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Coordination complex

In chemistry, a coordination complex consists of a central atom or ion, which is usually metallic and is called the coordination centre, and a surrounding array of bound molecules or ions, that are in turn known as ligands or complexing agents.

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Cyclic order

In mathematics, a cyclic order is a way to arrange a set of objects in a circle.

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Diane de Poitiers

Diane de Poitiers (3 September 1499 – 25 April 1566) was a French noblewoman and a prominent courtier at the courts of king Francis I and his son, King Henry II of France.

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Discordianism

Discordianism is a paradigm based upon the book Principia Discordia, written by Greg Hill with Kerry Wendell Thornley in 1963, the two working under the pseudonyms Malaclypse the Younger and Omar Khayyam Ravenhurst.

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DNA

Deoxyribonucleic acid (DNA) is a thread-like chain of nucleotides carrying the genetic instructions used in the growth, development, functioning and reproduction of all known living organisms and many viruses.

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Eccentricity (mathematics)

In mathematics, the eccentricity, denoted e or \varepsilon, is a parameter associated with every conic section.

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Efimov state

The Efimov effect is an effect in the quantum mechanics of few-body systems predicted by the Russian theoretical physicist V. N. EfimovВ.И. Ефимов: Слабосвязанные состояния трех резонансно взаимодействующих частиц, Ядерная Физика, т. 12, вып.

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Fraser Stoddart

Sir James Fraser Stoddart (born 24 May 1942) is a Scottish-born chemist who is Board of Trustees Professor of Chemistry and head of the Stoddart Mechanostereochemistry Group in the Department of Chemistry at Northwestern University in the United States.

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Free group

In mathematics, the free group FS over a given set S consists of all expressions (a.k.a. words, or terms) that can be built from members of S, considering two expressions different unless their equality follows from the group axioms (e.g. st.

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Fundamental group

In the mathematical field of algebraic topology, the fundamental group is a mathematical group associated to any given pointed topological space that provides a way to determine when two paths, starting and ending at a fixed base point, can be continuously deformed into each other.

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Gankyil

The Gankyil (Lhasa) or "wheel of joy" (cakra) is a symbol and ritual tool used in Tibetan and East Asian Buddhism.

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Giuseppe Resnati

Giuseppe Resnati (born 26 August 1955) is an Italian chemist with interests in fluorine chemistry and supramolecular chemistry.

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Graph theory

In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects.

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Group action

In mathematics, an action of a group is a formal way of interpreting the manner in which the elements of the group correspond to transformations of some space in a way that preserves the structure of that space.

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Halogen bond

A halogen bond occurs when there is evidence of a net attractive interaction between an electrophilic region associated with a halogen atom in a molecular entity and a nucleophilic region in another, or the same, molecular entity.

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Hopf link

In mathematical knot theory, the Hopf link is the simplest nontrivial link with more than one component.

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House of Borromeo

The aristocratic Borromeo family were merchants at San Miniato around 1300 and became bankers at Milan after 1370.

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Hyperbolic 3-manifold

In mathematics, more precisely in topology and differential geometry, a hyperbolic 3–manifold is a manifold of dimension 3 equipped with a hyperbolic metric, that is a Riemannian metric which has all its sectional curvatures equal to -1.

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Hyperbolic link

In mathematics, a hyperbolic link is a link in the 3-sphere with complement that has a complete Riemannian metric of constant negative curvature, i.e. has a hyperbolic geometry.

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Hyperbolic volume

In the mathematical field of knot theory, the hyperbolic volume of a hyperbolic link is the volume of the link's complement with respect to its complete hyperbolic metric.

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International Mathematical Union

The International Mathematical Union (IMU) is an international non-governmental organization devoted to international cooperation in the field of mathematics across the world.

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Jacques Lacan

Jacques Marie Émile Lacan (13 April 1901 – 9 September 1981) was a French psychoanalyst and psychiatrist who has been called "the most controversial psycho-analyst since Freud".

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John Robinson (sculptor)

John Robinson (4 May 1935 – 6 April 2007) was a British sculptor and co-founder of the Bradshaw Foundation.

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Knot (mathematics)

In mathematics, a knot is an embedding of a circle S^1 in 3-dimensional Euclidean space, R3 (also known as E3), considered up to continuous deformations (isotopies).

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Knot theory

In topology, knot theory is the study of mathematical knots.

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Legendre symbol

No description.

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Link (knot theory)

In mathematical knot theory, a link is a collection of knots which do not intersect, but which may be linked (or knotted) together.

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List of Martin Gardner Mathematical Games columns

Over a period of 24 years (January 1957 – December 1980), Martin Gardner wrote 288 consecutive "Mathematical Games" columns for Scientific American magazine.

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Lithium

Lithium (from lit) is a chemical element with symbol Li and atomic number 3.

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Lombardy

Lombardy (Lombardia; Lumbardia, pronounced: (Western Lombard), (Eastern Lombard)) is one of the twenty administrative regions of Italy, in the northwest of the country, with an area of.

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Madrid

Madrid is the capital of Spain and the largest municipality in both the Community of Madrid and Spain as a whole.

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Martin Gardner

Martin Gardner (October 21, 1914May 22, 2010) was an American popular mathematics and popular science writer, with interests also encompassing scientific skepticism, micromagic, philosophy, religion, and literature—especially the writings of Lewis Carroll, L. Frank Baum, and G. K. Chesterton.

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Marundeeswarar Temple

Marundeeswarar Temple (மருந்தீஸ்வரர் கோயில்):ta:திருவான்மியூர் மருந்தீசுவரர் கோயில் is a temple dedicated to Hindu deity Shiva, located in Thiruvanmiyur, Chennai adjacent to the beach of Bay of Bengal.

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Massey product

In algebraic topology, the Massey product is a cohomology operation of higher order introduced in, which generalizes the cup product.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Mechanically interlocked molecular architectures

Mechanically interlocked molecular architectures (MIMAs) are molecules that are connected as a consequence of their topology.

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Molecular Borromean rings

Molecular Borromean rings are an example of a mechanically-interlocked molecular architecture in which three macrocycles are interlocked in such a way that breaking any macrocycle allows the others to disassociate.

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Monkey's fist

A monkey's fist or monkey paw is a type of knot, so named because it looks somewhat like a small bunched fist/paw.

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New York University

New York University (NYU) is a private nonprofit research university based in New York City.

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Norsemen

Norsemen are a group of Germanic people who inhabited Scandinavia and spoke what is now called the Old Norse language between 800 AD and c. 1300 AD.

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Northern Italy

Northern Italy (Italia settentrionale or just Nord) is a geographical region in the northern part of Italy.

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Octahedron

In geometry, an octahedron (plural: octahedra) is a polyhedron with eight faces, twelve edges, and six vertices.

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P. Ballantine and Sons Brewing Company

P.

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Pabst Brewing Company

The Pabst Brewing Company is an American company that dates its origins to a brewing company founded in 1844 by Jacob Best and was, by 1889, named after Frederick Pabst.

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Physical Review Letters

Physical Review Letters (PRL), established in 1958, is a peer-reviewed, scientific journal that is published 52 times per year by the American Physical Society.

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Picture stone

A picture stone, image stone or figure stone is an ornate slab of stone, usually limestone, which was raised in Germanic Iron Age or Viking Age Scandinavia, and in the greatest number on Gotland.

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Pochhammer contour

In mathematics, the Pochhammer contour, introduced by and, is a contour in the complex plane with two points removed, used for contour integration.

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Prime number

A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.

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Principia Discordia

The Principia Discordia is a Discordian religious text written by Greg Hill (Malaclypse the Younger) with Kerry Wendell Thornley (Lord Omar Khayyam Ravenhurst).

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Regular polyhedron

A regular polyhedron is a polyhedron whose symmetry group acts transitively on its flags.

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Rice University

William Marsh Rice University, commonly known as Rice University, is a private research university located on a 300-acre (121 ha) campus in Houston, Texas, United States.

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Science (journal)

Science, also widely referred to as Science Magazine, is the peer-reviewed academic journal of the American Association for the Advancement of Science (AAAS) and one of the world's top academic journals.

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Scientific American

Scientific American (informally abbreviated SciAm) is an American popular science magazine.

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Seifert–van Kampen theorem

In mathematics, the Seifert–van Kampen theorem of algebraic topology (named after Herbert Seifert and Egbert van Kampen), sometimes just called van Kampen's theorem, expresses the structure of the fundamental group of a topological space X in terms of the fundamental groups of two open, path-connected subspaces that cover X. It can therefore be used for computations of the fundamental group of spaces that are constructed out of simpler ones.

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Self-assembly

Self-assembly is a process in which a disordered system of pre-existing components forms an organized structure or pattern as a consequence of specific, local interactions among the components themselves, without external direction.

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Shield of the Trinity

The Shield of the Trinity or Scutum Fidei (Latin for "shield of faith") is a traditional Christian visual symbol which expresses many aspects of the doctrine of the Trinity, summarizing the first part of the Athanasian Creed in a compact diagram.

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Snoldelev Stone

The Snoldelev Stone, listed as DR 248 in the Rundata catalog, is a 9th-century runestone that was originally located at Snoldelev, Ramsø, Denmark.

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Spain

Spain (España), officially the Kingdom of Spain (Reino de España), is a sovereign state mostly located on the Iberian Peninsula in Europe.

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Sport Club Internacional

Sport Club Internacional is a Brazilian multisport club based in Porto Alegre, Rio Grande do Sul.

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The Mathematical Intelligencer

The Mathematical Intelligencer is a mathematical journal published by Springer Verlag that aims at a conversational and scholarly tone, rather than the technical and specialist tone more common among academic journals.

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Thiruvanmiyur

Thiruvanmiyur is a largely residential neighborhood in the south of Chennai, Tamil Nadu, India.

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Topology

In mathematics, topology (from the Greek τόπος, place, and λόγος, study) is concerned with the properties of space that are preserved under continuous deformations, such as stretching, crumpling and bending, but not tearing or gluing.

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Trinity

The Christian doctrine of the Trinity (from Greek τριάς and τριάδα, from "threefold") holds that God is one but three coeternal consubstantial persons or hypostases—the Father, the Son (Jesus Christ), and the Holy Spirit—as "one God in three Divine Persons".

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Triquetra

Triquetra (Latin tri- "three" and quetrus "cornered") originally meant "triangle" and was used to refer to various three-cornered shapes.

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University of California, Los Angeles

The University of California, Los Angeles (UCLA) is a public research university in the Westwood district of Los Angeles, United States.

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Unlink

In the mathematical field of knot theory, the unlink is a link that is equivalent (under ambient isotopy) to finitely many disjoint circles in the plane.

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Valknut

The valknut (coined from Old Norse valr, "slain warriors" and knut, "knot") is a symbol consisting of three interlocked triangles.

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Venn diagram

A Venn diagram (also called primary diagram, set diagram or logic diagram) is a diagram that shows all possible logical relations between a finite collection of different sets.

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Vitaly Efimov

Vitaly N. Efimov (Russian: Вита́лий Никола́евич Ефи́мов) is a Russian theoretical physicist.

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Redirects here:

Borromean circle, Borromean circles, Borromean knot, Borromean link, Borromean links, Borromean ring, L6a4 link.

References

[1] https://en.wikipedia.org/wiki/Borromean_rings

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