Pyramid Golden Ratio Calculator

Formula

The formula to calculate the Pyramid Golden Ratio (φ) is:

\[ \phi = \frac{L + W}{H} \]

Where:

\( \phi \) is the golden ratio.
\( L \) is the base length of the pyramid.
\( W \) is the base width of the pyramid.
\( H \) is the height of the pyramid.

What is a Pyramid Golden Ratio?

The pyramid golden ratio is a specific proportion that is often found in the design of pyramids, particularly those of ancient Egypt. This ratio, also known as the divine proportion, is approximately 1.618 and is believed to contribute to the aesthetic and structural properties of the pyramid. The golden ratio can be observed in various aspects of the pyramid’s geometry, including the relationship between its base dimensions and height. This ratio is not only significant in architecture but also appears in nature, art, and other fields, symbolizing harmony and balance.

Example Calculation

Consider an example where:

Base Length (L): 200 units
Base Width (W): 200 units
Height (H): 248 units

Using the formula to calculate the Pyramid Golden Ratio:

\[ \phi = \frac{200 + 200}{248} = \frac{400}{248} \approx 1.61 \]

This means that the golden ratio for this example is approximately 1.61.