#FIBONACCI GOLDEN SPIRAL TATTOO SERIES#

An Equiangular spiral itself is a special type of spiral with unique mathematical properties in which the size of the spiral increases but its shape remains the same with each successive rotation of its curve.

Most spirals in nature are equiangular spirals, and Fibonacci and Golden spirals are special cases of the broader class of Equiangular spirals.

#FIBONACCI GOLDEN SPIRAL TATTOO SERIES#

The Fibonacci spiral gets closer and closer to a Golden Spiral as it increases in size because of the ratio of each number in the Fibonacci series to the one before it converges on Phi, 1.618, as the series progresses (e.g., 1, 1, 2, 3, 5, 8 and 13 produce ratios of 1, 2, 1.5, 1.67, 1.6 and 1.625, respectively)įibonacci spirals and Golden spirals appear in nature, but not every spiral in nature is related to Fibonacci numbers or Phi. + F(n) 2 = F(n) x F(n+1)Ī Golden spiral is very similar to the Fibonacci spiral but is based on a series of identically proportioned golden rectangles, each having a golden ratio of 1.618 of the length of the long side to that of the short side of the rectangle: This property results in the Fibonacci spiral, based on the following progression and properties of the Fibonacci series:ġ 2 + 1 2 +.

If you sum the squares of any series of Fibonacci numbers, they will equal the last Fibonacci number used in the series times the next Fibonacci number. Fibonacci numbers and Phi are related to spiral growth in nature.

Fibonacci golden spiral tattoo