In geometry, a golden spiral is a logarithmic spiral whose growth factor is φ, the golden ratio. That is, a golden spiral gets wider (or further from its origin) by a factor of φ for every quarter turn it makes.

You can find the Golden Ratio when you divide a line into two parts and the longer part (a) divided by the smaller part (b) is equal to the sum of (a) + (b) divided by (a), which both equal 1.618. This formula can help you when creating shapes, logos, layouts, and more.

If you take our Golden Ratio diagram above and draw an arch in each square, from one corner to the opposite corner, you will draw the first curve of the Golden Spiral (or Fibonacci Sequence) – a series in which the pattern of each number is the sum of the previous two numbers.

Symbolised by the character φ (Phi), it's found when a line is split in such a way that the larger part divided by the smaller part is equal to the whole part divided by the larger part -- a ratio of (rounded) 1.618.

A cosmic constant known as the 'golden ratio' is said to be found in the shape of hurricanes, elephant tusks and even in galaxies. Now researchers say this ratio is also seen in the topology of space-time, affecting the entire universe as a whole.

Throughout history, the ratio for length to width of rectangles of 1.61803 39887 49894 84820 has been considered the most pleasing to the eye. This ratio was named the golden ratio by the Greeks.

The golden ratio, also known as the divine proportion, is a special number (equal to about 1.618) that appears many times in geometry, art, an architecture.

What is the difference between Fibonacci and golden ratio?

The golden ratio describes predictable patterns on everything from atoms to huge stars in the sky. The ratio is derived from something called the Fibonacci sequence, named after its Italian founder, Leonardo Fibonacci. Nature uses this ratio to maintain balance, and the financial markets seem to as well.

Fibonacci spirals and Golden spirals appear in nature, but not every spiral in nature is related to Fibonacci numbers or Phi. Most spirals in nature are equiangular spirals, and Fibonacci and Golden spirals are special cases of the broader class of Equiangular spirals.

Fibonacci levels are used as guides, possible areas where a trade could develop. The price should confirm prior to acting on the Fibonacci level. In advance, traders don't know which level will be significant, so they need to wait and see which level the price respects before taking a trade.

A spiral is a curved pattern that focuses on a center point and a series of circular shapes that revolve around it. Examples of spirals are pine cones, pineapples, hurricanes. The reason for why plants use a spiral form like the leaf picture above is because they are constantly trying to grow but stay secure.

For example, the measurement from the navel to the floor and the top of the head to the navel is the golden ratio. Animal bodies exhibit similar tendencies, including dolphins (the eye, fins and tail all fall at Golden Sections), starfish, sand dollars, sea urchins, ants, and honey bees.

This was first described by the Greek mathematician Euclid, though he called it "the division in extreme and mean ratio," according to mathematician George Markowsky of the University of Maine. This representation can be rearranged into a quadratic equation with two solutions, (1 + √5)/2 and (1 - √5)/2.

The Golden Ratio (phi = φ) is often called The Most Beautiful Number In The Universe. The reason φ is so extraordinary is because it can be visualized almost everywhere, starting from geometry to the human body itself! The Renaissance Artists called this “The Divine Proportion” or “The Golden Ratio”.

During the Renaissance, painter and draftsman Leonardo Da Vinci used the proportions set forth by the Golden Ratio to construct his masterpieces. Sandro Botticelli, Michaelangelo, Georges Seurat, and others appear to have employed this technique in their artwork.

golden ratio, also known as the golden section, golden mean, or divine proportion, in mathematics, the irrational number (1 + Square root of√5)/2, often denoted by the Greek letter ϕ or τ, which is approximately equal to 1.618.

First, the length and width of the face are measured. Once this is done, the length is divided by the width. The ideal result is considered the Golden Ratio which should equal 1.6. This means a beautiful person's face is about 1 ½ times longer than it is wide.

A traditional Golden Spiral is formed by the nesting of Golden Rectangles with a Golden Rectangle. This resulting Golden Spiral is often associated with the Nautilus spiral, but incorrectly because the two spirals are clearly very different.

The name "Spiral" is indicative of the skating edge. This move is generally (but not exclusively) demonstrated on a deep inside or outside edge. As the skater moves, he or she glides slightly to the left or right (depending on the edge used), and continues in a spiral pattern around the ice if held long enough.

Spiral Galaxies is another example of where Fibonacci's sequence is apparent. The milky way has several spiralled arms that follow in the Fibonacci sequence.