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In geometry, a golden rectangle is a rectangle with side lengths in golden ratio +:, or :, with approximately equal to 1.618 or 89/55. Golden rectangles exhibit a special form of self-similarity : if a square is added to the long side, or removed from the short side, the result is a golden rectangle as well.
A golden rectangle—that is, a rectangle with an aspect ratio of —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 and artificial systems such as financial markets , in some cases based on dubious fits to data. [ 8 ]
Derek Haylock [60] claims that the opening motif of Ludwig van Beethoven's Symphony No. 5 in C minor, Op. 67 (c. 1804–08), occurs exactly at the golden mean point 0.618 in bar 372 of 601 and again at bar 228 which is the other golden section point (0.618034 from the end of the piece) but he has to use 601 bars to get these figures. This he ...
The Section d'Or ("Golden Section"), also known as Groupe de Puteaux or Puteaux Group, was a collective of painters, sculptors, poets and critics associated with Cubism and Orphism. Based in the Parisian suburbs, the group held regular meetings at the home of the Duchamp brothers in Puteaux and at the studio of Albert Gleizes in Courbevoie . [ 1 ]
The result, though not a true logarithmic spiral, closely approximates a golden spiral. [2] Another approximation is a Fibonacci spiral, which is constructed slightly differently. A Fibonacci spiral starts with a rectangle partitioned into 2 squares. In each step, a square the length of the rectangle's longest side is added to the rectangle.
In March, a mother was horrified to find a pedophile symbol on a toy she bought for her daughter. Although the symbol was not intentionally placed on the toy by the company who manufactured the ...
For example, start with a 1-by-Φ rectangle, where Φ is the golden ratio. Add an adjacent Φ-by-Φ square and get another golden rectangle. Add an adjacent (1+Φ)-by-(1+Φ) square and get a larger golden rectangle, and so on. Now, in order to separate more than 1/3 of the shapes, the separator must separate O(N) shapes from two different vertices.
The arrival of The Golden Bachelor—not to mention its strong audience numbers—is an overdue sign of recognition by the TV industry that there is a major trend emerging in this country.Some ...