Fibonacci Spiral

Fibonacci Spiral

The Fibonacci Spiral, a conglomeration of arcs, squares and golden rectangles, has been used by artists and architects as far back as the ancient Greeks. The Parthenon, Leonardo da Vinci’s Mona Lisa, and Salvador Dali’s The Sacrament of the Last Super are examples which are said to exhibit the golden ratio.

The Fibonacci Spiral, or Golden Spiral, is a geometric rendering of the Fibonacci numbers, a special sequence of numbers.

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...

The sequence begins with 1 and 1, and then each subsequent term is found by adding the proceeding two terms.

Notably, by taking the ratio of consecutive terms, this new sequence converges to special number, the golden ratio, φ.

1, 2, 3/2, 5/3, 8/5, 13/8, 21/13, 34/21, 55/34, 89/55, ... = 1+ √5 or φ

2

A golden rectangle is a rectangle whose length divided by width is equal to the golden ratio.