How to Calculate Golden Ratio?

Value of golden ratio is calculated using golden ratio equation as,

We know,

ϕ = 1 + 1/ϕ

ϕ2 = ϕ + 1

ϕ2 – ϕ -1 = 0

ϕ = (−b ± √b2 − 4ac)/2a

Here,

a = 1

b = -1

c = -1

ϕ = {1 ± √(1+4)}/2

Taking positive value as,

ϕ = 1/2 + √5/2

Golden Ratio

Golden Ratio, a captivating mathematical concept, finds its expression in diverse fields. Use the Golden ratio calculator to explore its Golden ratio face, Golden ratio symbol, and Golden ratio in nature. Delve into its Golden ratio formula, Golden ratio number, and Golden ratio examples, appreciating its aesthetic presence in Golden ratio photography and Golden ratio in art.

Golden Ratio, also known as the Divine Proportion, is a mathematical concept admired for centuries. It’s a ratio found in nature and art, considered a measure of beauty and proportion. Represented by the Greek letter phi (φ), it’s roughly 1.6180339887.

Golden Ratio

In simple terms, the Golden Ratio is about the relationship between two quantities in patterns like spirals or nested rectangles. In a spiral, each quarter turn relates to the previous one by the Golden Ratio. Artists and designers often use it to create aesthetically pleasing compositions. For instance, in painting, the Golden Ratio guides the placement and size of elements within a frame.

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