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. Expressed algebraically, for quantities ⁠ ⁠ and ⁠ ⁠ with ⁠ ⁠, ⁠ ⁠ is in a golden ratio to ⁠ ⁠ if. where the Greek letter phi (⁠ ⁠ or ⁠ ⁠) denotes the golden ratio.

2019年11月25日 · The number phi, often known as the golden ratio, is a mathematical concept that people have known about since the time of the ancient Greeks.

Phi ( Φ = 1.618033988749895… ), most often pronounced fi like “fly,” is simply an irrational number like pi ( p = 3.14159265358979… ), but one with many unusual mathematical properties. Unlike pi, which is a transcendental number, phi is the solution to a quadratic equation.

2012年5月15日 · Phi (Φ) and pi (Π) and Fibonacci numbers can be related in several ways: The product of phi and pi, 1.618033988… X 3.141592654…, or 5.083203692, is found in golden geometries:

2012年5月13日 · Phi is the first letter of Phidias (1), who used the golden ratio in his sculptures, as well as the Greek equivalent to the letter “F,” the first letter of Fibonacci. Phi is also the 21st letter of the Greek alphabet, and 21 is one of numbers in the Fibonacci series.

The golden ratio, also known as the divine proportion, golden mean, or golden section, is a number often encountered when taking the ratios of distances in simple geometric figures such as the pentagon, pentagram, decagon and dodecahedron. It is denoted phi, or sometimes tau.

The golden ratio (symbol is the Greek letter phi shown at left) is a special number approximately equal to 1.618 ... It appears many times in geometry, art, architecture and other Golden Ratio

The golden ratio. The golden ratio, also called the golden number, divine proportion, etc., has a very close association with the Fibonacci sequence. It is often represented by the Greek letter phi, \(\varphi\) or \(\phi\). For the sake of uniformity, we shall denote the golden ratio by \(\phi\).

2025年2月14日 · golden ratio, in mathematics, the irrational number (1 + Square root of √ 5)/2, often denoted by the Greek letter ϕ or τ, which is approximately equal to 1.618. It is the ratio of a line segment cut into two pieces of different lengths such that the ratio of the whole segment to that of the longer segment is equal to the ratio of the longer ...

2024年10月14日 · The golden ratio, often symbolized by the Greek letter phi (φ), is a mathematical concept that has fascinated scholars, artists, and thinkers for centuries. It is an irrational number, approximately equal to 1.618, that arises when a line is divided into two parts in such a way that the ratio of the whole line to the longer segment equals the ...