Learn how Fibonacci numbers, golden spirals and golden ratio are related to spiral growth in nature. See examples of Fibonacci, golden and equiangular spirals in plants, sea shells and galaxies.

The Golden Spiral plays a role in the geometry of fractals, a complex pattern that repeats forever. American mathematician Edmund Harriss became popular for his fractal curve based on the Golden Spiral, now known as the Harriss Spiral.

Learn how to derive and graph the golden spiral, a special case of the logarithmic spiral that grows at a constant rate of the golden ratio. See examples, images and interactive tools to explore this fascinating curve.

As we know, ϕ can be obtained from the ratio of two successive Fibonacci numbers; the golden ratio forms a spiral pattern. This spiral follows a constant angle close to ϕ and is thus known as the Golden Spiral .

Learn what the golden spiral is, how it relates to the golden ratio and Fibonacci sequence, and how to use it in your photography. Find out how to find the subject, adjust the composition, edit the photo, and practice the golden spiral technique.

Fibonacci Spirals and Golden Spirals are not the same. A Fibonacci spiral is made of squares that increase in size. But a Golden Spiral is made by nesting smaller and smaller Golden Rectangles within a large Golden Rectangle. The Golden Ratio can be used with other shapes as well.

Understand why Fibonacci numbers, the Golden Ratio and the Golden Spiral appear in nature, and why we find them so pleasing to look at.

The golden ratio (symbol is the Greek letter "phi" shown at left) is a special number approximately equal to 1.618. It appears many times in geometry, art, architecture and other areas. The Idea Behind It

Learn about the golden spiral, a logarithmic spiral that passes through the centers of the squares in a golden rectangle. Find out how it relates to the Fibonacci numbers, the golden ratio, and a TV crime drama.