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Many works of art are claimed to have been designed using the golden ratio. However, many of these claims are disputed, or refuted by measurement. [1] The golden ratio, an irrational number, is approximately 1.618; it is often denoted by the Greek letter φ .
The psychologist Adolf Zeising noted that the golden ratio appeared in phyllotaxis and argued from these patterns in nature that the golden ratio was a universal law. [92] Zeising wrote in 1854 of a universal orthogenetic law of "striving for beauty and completeness in the realms of both nature and art".
Several properties and common features of the Penrose tilings involve the golden ratio = + (approximately 1.618). [ 31 ] [ 32 ] This is the ratio of chord lengths to side lengths in a regular pentagon , and satisfies φ = 1 + 1/ φ .
Pages in category "Golden ratio" The following 26 pages are in this category, out of 26 total. This list may not reflect recent changes. ...
The ratio of the progression of side lengths is , where = (+) / is the golden ratio, and the progression can be written: ::, or approximately 1 : 1.272 : 1.618. Squares on the edges of this triangle have areas in another geometric progression, 1 : φ : φ 2 {\displaystyle 1:\varphi :\varphi ^{2}} .
The golden ratio (phi) represented as a line divided into two segments a and b, such that the entire line is to the longer a segment as the a segment is to the shorter b segment. Date: 23 March 2007: Source: Image:Golden ratio line.png: Author: Traced by Stannered: Other versions: Derivative works of this file: Golden ratio line percentages.svg
The golden ratio is a number, approximately 1.618. Golden ratio may also refer to: The Golden Ratio (album), 2010 pop music album by Ace of Base; Golden Ratio (song), 2021 electronic music track by Hayden Thorpe
The golden rhombus. In geometry, a golden rhombus is a rhombus whose diagonals are in the golden ratio: [1] = = + Equivalently, it is the Varignon parallelogram formed from the edge midpoints of a golden rectangle. [1]