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Golden Section Calculator

Please enter exactly one value!

What is the Golden Section Calculator?

Golden Ratio (φ) is a unique mathematical ratio found in nature, art, and architecture. It represents perfect balance and harmony, often seen in famous structures like the Parthenon and even in natural elements like spiral galaxies and flower petals.

Mathematically, it follows the rule:

For Total (a+b):

\( a = \frac{a+b}{\varphi} \)

\( b = \frac{a}{\varphi} \)

For Longer Segment (a):

\( a+b = a \times \varphi \)

\( b = \frac{a}{\varphi} \)

For Shorter Segment (b):

\( a = b \times \varphi \)

\( a+b = a+b \)

where a is the longer segment, b is the shorter segment, and their sum (a + b) maintains the golden proportion.

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