Golden Rectangle Calculator
Calculate the dimensions of a golden rectangle using our online calculator. Understand the golden ratio and its applications in art and nature.
Enter Side Length
Results
Outer Golden Rectangle
Width (b):
Height (a):
Interior Golden Rectangle
Width (a):
Height (b - a):
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
- Art and Design: Used in compositions to achieve balance and harmony.
- Architecture: Evident in structures like the Parthenon.
- Nature: Found in the patterns of sunflowers, seashells, and galaxies.
- Web Design: Employed for layout proportions and visual hierarchy.
Explore the golden ratio and its fascinating properties with this tool!
Source: Wikipedia - Golden Ratio