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Golden ratio

Golden ratio
Line segments in the 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. The figure on the right illustrates the geometric relationship. The golden ratio is also called the golden section (Latin: sectio aurea) or golden mean.[1][2][3] Other names include extreme and mean ratio,[4] medial section, divine proportion, divine section (Latin: sectio divina), golden proportion, golden cut,[5] and golden number.[6][7][8] Some twentieth-century artists and architects, including Le Corbusier and Dalí, have proportioned their works to approximate the golden ratio—especially in the form of the golden rectangle, in which the ratio of the longer side to the shorter is the golden ratio—believing this proportion to be aesthetically pleasing (see Applications and observations below). Calculation Two quantities a and b are said to be in the golden ratio φ if Therefore, Multiplying by φ gives and History Related:  mathematics

Podcasts and Downloads - More or Less: Behind the Stats Rabatment of the rectangle The dotted line represents one of two possible rabatments 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. Every rectangle contains two implied squares, each consisting of a short side of the rectangle, an equal length along each longer side, and an imaginary fourth line parallel to the short side. Also known as rebatement and rabattement, rabatment means the rotation of a plane into another plane about their line of intersection, as in closing an open hinge.[1] In two dimensions, it means to rotate a line about a point until the line coincides with another sharing the same point. Theory[edit] Practice[edit] Animation of a rabatment line within a rectangle Renaissance artists used rabatment as a foundation to art and architectural works,[4][5] but the rabatment can be observed in art taken from almost any period.[6] Examples[edit]

Arthur Schopenhauer Life[edit] Schopenhauer's birthplace house, ul. Św. Ducha (formerly Heiligegeistgasse) In 1814, Schopenhauer began his seminal work The World as Will and Representation (Die Welt als Wille und Vorstellung). While in Berlin, Schopenhauer was named as a defendant in a lawsuit initiated by a woman named Caroline Marquet.[18] She asked for damages, alleging that Schopenhauer had pushed her. In 1821, he fell in love with nineteen-year old opera singer, Caroline Richter (called Medon), and had a relationship with her for several years. Schopenhauer had a notably strained relationship with his mother Johanna Schopenhauer. Grave at Frankfurt Hauptfriedhof Schopenhauer had a robust constitution, but in 1860 his health began to deteriorate. Thought[edit] Philosophy of the "Will"[edit] Schopenhauer in 1815, second of the critical five years of the initial composition of Die Welt als Wille und Vorstellung A key focus of Schopenhauer was his investigation of individual motivation. Mathematics[edit] [edit]

A Matter of Proportion This article is intended as a guide to better understand the Second Life avatar mesh and appearance editor, as well as how the broader principles of human anatomy apply in achieving desired body types and appearances. A Matter of Proportion How better understanding of human proportions and the Second Life appearance editor can help users create better avatars. It is impossible not to think of the avatar when you think of Second Life. The avatar is the very face of the virtual world and the basis around which all content in Second Life is created. Despite this, the avatar creation process is probably the least understood aspect of content creation in Second Life. The appearance editor itself is a part of the problem. Given just how bad the proportions of the starter shapes are, users who do want a good shape are forced to remake the avatar one slider at a time. Human Proportions The Roman architect Vitruvius wrote about his observations of the human body about 2,000 years ago. It gets worse.

Black Annis Black Annis, also known as Black Agnes, is a bogeyman figure in English folklore. She is imagined as a blue-faced crone or witch with iron claws and a taste for humans (especially children).[1] She is said to haunt the countryside of Leicestershire, living in a cave in the Dane Hills, with an oak tree at its entrance.[2] She supposedly goes out onto the glens at night looking for unsuspecting children and lambs to eat, then tanning their skins by hanging them on a tree, before wearing them around her waist.[2] She would reach inside houses to snatch people. Origins[edit] It is thought that the earliest written reference to Black Annis was from the eighteenth century, from which a title deed referred to a parcel of land as "Black Anny's Bower Close".[3] In popular culture[edit] In the 1992 Super Nintendo video game Gemfire, Black Annis had a random chance of terrorizing the people of a given territory, lowering their loyalty to the territory's ruler. References[edit] External links[edit]

Divide By Zero About To Divide by Zero is an internet slang term describing an action that leads to an epic failure or theoretically unlikely disaster, such as an earth-shattering apocalypse or a wormhole in the time-space continuum. The concept of division by zero is also associated with the phrase “OH SHI-,” which represents the response of someone that is cut off mid-sentence as a result of the disaster. Origin The earliest known reference to division by zero can be found in a YTMND site titled “1/0 !!!!!!!!!!!!” However, according to Encyclopedia Dramatica, the phrase is said to have originated on 4chan’s /b/ (random) board, with its earliest dating to December 8th, 2006. In Mathematics In math with real numbers, values that represent quantities along a continuous line, division by zero is an undefined operation, meaning it is impossible to have a real number answer to the equation. Spread Mr. Notable Examples Search Interest External References

The use of the golden section at Enguerrand Quarton E Quarton, one of the major figures of the French painting of the XVth century. Native of the diocese of Laon in Picardy, the painter Enguerrand Quarton is known to us only by his activity in Provence, been attested from 1444 till 1466. The definition of his artistic personality took place from two admirable paintings, the Virgin of Mercy (Chantilly, Musée Condé) and the Coronation of the Virgin (Villeneuve-lès-Avignon, Musée) the paternity of which is proved by two contracts of command, spent respectively in 1452 and in 1453 between the painter and his sleeping partner. Compared with these, were allocated to him other painted panels and illuminations. The monumental order of its compositions, the elegance of its so striking, linear rhythms in Pietà, come to him maybe of its training in the North of France, in the contact of the Gothic cathedrals and illuminators' workshops. (Extract from the website of The Louvre) Enguerrand Quarton - Avignon Pieta - circa 1455

Cymatics a study of Wave Phenomena by Hans Jenny

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