Fibonacci Spiral

Fibonacci Spiral - Golden Spiral Logarithmic spiral whose growth factor is φ, the golden ratio - gets wider (or further from its origin) by a factor of φ for every quarter turn it makes.

Triple Fibonacci spirals

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.

Fibonacci sequence and its usage. Fibonacci sequence in relationship to the Golden ratio. Weber's law estimations using the sequence.

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Lady Gaga is a consummate performer and a smart composer. She’s a Julliard-trained pianist, after all. Gaga has pulled a neat compositional trick out of the bag for the video below, the title…

Fibonacci sequence (circle) print.

An amazing interactive app for creating beautiful and unique fractal images.

The golden ratio is thought by many to be the perfect measure for beauty. However, this may not be the case: the variation of beauty is too large.