The golden spiral

Illustration showing succession of golden rectangles that are used to construct the golden spiral. Two quantities are considered to be in the golden ratio if (a+ b)/a = a/b which is represented by the Greek letter phi. Each rectangle shown is subdivided into smaller golden rectangles. The golden spiral is a special type of logarithmic spiral. Each part is similar to smaller and larger parts.

A Fibonacci spiral which approximates the golden spiral, using Fibonacci sequence square sizes up to 34.

Who among us has never heard of the golden ratio? We speak of a mathematical constant, the number 1.618, producedContinue reading

Phi, or 1.618, is known as the golden ratio, and can be found throughout artistic composition and nature. It can be represented in the formula (a+b)/a = a/b = phi.This formula applies to the golden…

Spiritual AWareness (or simply AWARENESS {AW} as everything is ultimately spiritual) can be divided into 7 DENSITIES (as differentiated from dimensions, which are purely mathematical): * 1st Densit…

Geometric Models on Instagram: “Fibonacci numbers appear in nature often enough to prove that they reflect some naturally occurring patterns. You can commonly spot these…”

For artistically-minded people, the golden ratio—or better yet, the divine proportion—might be easier to understand visually. Here are several examples of how the golden ratio can be applied to works from art history.

Designers everywhere should know about the Golden Ratio. It is a mathematical ratio that creates aesthetically pleasing designs. Since the Golden Ratio exists so frequently in nature, it’s not a surprise that its results are natural-looking. The Golden Ratio goes by several other names, too: Divine Proportion Golden Mean Golden Section Phi (Greek letter) Table […]