Golden Rectangle Calculator

Discover the beauty of the Golden Ratio with our calculator. Enter one side of a rectangle to find its golden proportions.

Enter Side Length


Results

Outer Golden Rectangle

Width (b):

Height (a):

Interior Golden Rectangle

Width (a):

Height (b - a):

Enter side length and calculate to see the golden rectangle dimensions.

What is a Golden Rectangle?

A golden rectangle is a rectangle whose side lengths are in the golden ratio, approximately 1.618 to 1. This ratio, often represented by the Greek letter phi (φ), is found throughout nature, art, and architecture, and is considered aesthetically pleasing.

When you remove a square from a golden rectangle, the remaining rectangle is also a golden rectangle. This process can be repeated infinitely, creating a spiral pattern known as the golden spiral.

Formula and Calculation

If the shorter side of a golden rectangle is 'a', then the longer side 'b' is calculated using the golden ratio (φ):

b = a × φ ≈ a × 1.618

Our calculator helps you easily find the dimensions of both the outer and inner golden rectangles based on a given side length.

Uses and Applications

Explore the golden ratio and its fascinating properties with this tool!

Source: Wikipedia - Golden Ratio