Golden Ratio Calculator

Understanding the Golden Ratio

The golden ratio, approximately 1.6180339887, is a mathematical constant found in nature and used in art and design. 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.

Also known as the divine proportion, golden mean, or phi, the golden ratio has been used throughout history in architecture, art, and design to create aesthetically pleasing compositions.

How to Use This Tool

1. Enter any positive number in the input field.

2. Click the "Calculate" button.

3. The tool will generate a sequence of 11 numbers based on the golden ratio, with your input number at the center.

Applications of the Golden Ratio

The golden ratio has various applications, including:

• Architecture and design for creating visually appealing proportions
• Art composition for balanced and aesthetically pleasing layouts
• Financial markets for analyzing price patterns
• Nature, where it appears in phenomena like spiral patterns in shells and flower petals