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Golden rectangle

Index Golden rectangle

In geometry, a golden rectangle is a rectangle whose side lengths are in the golden ratio, 1: \tfrac, which is 1:\varphi (the Greek letter phi), where \varphi is approximately 1.618. [1]

35 relations: Aspect ratio, Borromean rings, Circumscribed circle, Compass-and-straightedge construction, Convex hull, Decagon, Edinburgh, Fibonacci, Fibonacci number, Garches, Geometry, Golden ratio, Golden rhombus, Golden spiral, Hexagon, Icosahedron, Kepler triangle, Le Corbusier, Logarithmic spiral, Logistics, Luca Pacioli, M1 motorway, M6 motorway, Mario Livio, Milton Keynes, Pentagon, Phi, Plastic number, Pythagorean theorem, Rabatment of the rectangle, Rectangle, Rugby, Warwickshire, Silver ratio, Square, Villa Stein.

Aspect ratio

The aspect ratio of a geometric shape is the ratio of its sizes in different dimensions.

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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).

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Circumscribed circle

In geometry, the circumscribed circle or circumcircle of a polygon is a circle which passes through all the vertices of the polygon.

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Compass-and-straightedge construction

Compass-and-straightedge construction, also known as ruler-and-compass construction or classical construction, is the construction of lengths, angles, and other geometric figures using only an idealized ruler and compass.

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Convex hull

In mathematics, the convex hull or convex envelope or convex closure of a set X of points in the Euclidean plane or in a Euclidean space (or, more generally, in an affine space over the reals) is the smallest convex set that contains X. For instance, when X is a bounded subset of the plane, the convex hull may be visualized as the shape enclosed by a rubber band stretched around X., p. 3.

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Decagon

In geometry, a decagon is a ten-sided polygon or 10-gon.

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Edinburgh

Edinburgh (Dùn Èideann; Edinburgh) is the capital city of Scotland and one of its 32 council areas.

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Fibonacci

Fibonacci (c. 1175 – c. 1250) was an Italian mathematician from the Republic of Pisa, considered to be "the most talented Western mathematician of the Middle Ages".

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Fibonacci number

In mathematics, the Fibonacci numbers are the numbers in the following integer sequence, called the Fibonacci sequence, and characterized by the fact that every number after the first two is the sum of the two preceding ones: Often, especially in modern usage, the sequence is extended by one more initial term: By definition, the first two numbers in the Fibonacci sequence are either 1 and 1, or 0 and 1, depending on the chosen starting point of the sequence, and each subsequent number is the sum of the previous two.

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Garches

Garches is a commune in the western suburbs of Paris, France.

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Geometry

Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.

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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.

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Golden rhombus

In geometry, a golden rhombus is a rhombus whose diagonals are in the ratio \frac.

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Golden spiral

In geometry, a golden spiral is a logarithmic spiral whose growth factor is φ, the golden ratio.

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Hexagon

In geometry, a hexagon (from Greek ἕξ hex, "six" and γωνία, gonía, "corner, angle") is a six-sided polygon or 6-gon.

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Icosahedron

In geometry, an icosahedron is a polyhedron with 20 faces.

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Kepler triangle

A Kepler triangle is a right triangle with edge lengths in geometric progression.

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Le Corbusier

Charles-Édouard Jeanneret (6 October 1887 – 27 August 1965), known as Le Corbusier, was a Swiss-French architect, designer, painter, urban planner, writer, and one of the pioneers of what is now called modern architecture.

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Logarithmic spiral

A logarithmic spiral, equiangular spiral or growth spiral is a self-similar spiral curve which often appears in nature.

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Logistics

Logistics is generally the detailed organization and implementation of a complex operation.

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Luca Pacioli

Fra Luca Bartolomeo de Pacioli (sometimes Paccioli or Paciolo; 1447–1517) was an Italian mathematician, Franciscan friar, collaborator with Leonardo da Vinci, and a seminal contributor to the field now known as accounting.

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M1 motorway

The M1 is a motorway in England connecting London to Leeds, where it joins the A1(M) near Aberford, to connect to Newcastle.

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M6 motorway

The M6 motorway runs from junction 19 of the M1 at the Catthorpe Interchange, near Rugby via Birmingham then heads north, passing Stoke-on-Trent, Liverpool, Manchester, Preston, Lancaster, Carlisle and terminating at the Gretna junction (J45).

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Mario Livio

Mario Livio (born 1945 in Bucharest) is an Israeli-American astrophysicist and an author of works that popularize science and mathematics.

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Milton Keynes

Milton Keynes, locally abbreviated to MK, is a large townAlthough Milton Keynes was specified to be a city in scale and the term "city" is used locally (inter alia to avoid confusion with its constituent towns), formally this title cannot be used.

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Pentagon

In geometry, a pentagon (from the Greek πέντε pente and γωνία gonia, meaning five and angle) is any five-sided polygon or 5-gon.

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Phi

Phi (uppercase Φ, lowercase φ or ϕ; ϕεῖ pheî; φι fi) is the 21st letter of the Greek alphabet.

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Plastic number

In mathematics, the plastic number (also known as the plastic constant, the minimal Pisot number, the platin number, Siegel's number or, in French, le nombre radiant) is a mathematical constant which is the unique real solution of the cubic equation It has the exact value Its decimal expansion begins with.

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Pythagorean theorem

In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.

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Rabatment of the rectangle

Rabatment of the rectangle is a compositional technique used as an aid for the placement of objects or the division of space within a rectangular frame, or as an aid for the study of art.

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Rectangle

In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles.

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Rugby, Warwickshire

Rugby is a market town in Warwickshire, England, close to the River Avon.

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Silver ratio

In mathematics, two quantities are in the silver ratio (also silver mean or silver constant) if the ratio of the sum of the smaller and twice the larger of those quantities, to the larger quantity, is the same as the ratio of the larger one to the smaller one (see below).

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Square

In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or (100-gradian angles or right angles). It can also be defined as a rectangle in which two adjacent sides have equal length. A square with vertices ABCD would be denoted.

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Villa Stein

Villa Stein, designed by Le Corbusier, was built in 1927 at Garches, France.

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Redirects here:

Golden Rectangle, Phi Rectangle, Phi rectangle, PhiRectangle.

References

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

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