Fibonacci Spiral: How It Is Built, How to Draw It, and What It Cannot Prove

A Fibonacci spiral, or fib spiral, is a curve made of quarter circles drawn inside squares whose sides follow the Fibonacci sequence: 1, 1, 2, 3, 5, 8, 13 and so on. Each quarter turn makes the curve grow by the ratio of two consecutive Fibonacci numbers, a ratio that gets closer and closer to the golden ratio, about 1.618. On a price chart, you place the center of the spiral on a major high or low, set the first radius with a second click, and watch where price meets the curve as a zone in both price and time. The spiral is a drawing aid: its placement is a choice, and we found no test showing that its touches predict turns.

How the spiral is built

Start with two squares of side 1 side by side, add a square of side 2 along their long edge, then 3, 5, 8 and 13. Each new square takes the side of the two before it combined, and together they tile a rectangle whose proportions approach the golden rectangle. A quarter circle drawn across each square, corner to corner, links into one continuous curve. Mathwords describes this curve as an approximation of the golden spiral, the logarithmic spiral that grows by exactly the golden ratio each quarter turn.

The ratios settle quickly: 1.625, then 1.615, then 1.619, closing in on 1.618. That convergence is plain arithmetic and it is the whole link between the spiral and the Fibonacci ratios used in retracements and extensions. It says nothing about markets by itself.

How to draw a Fibonacci spiral on a chart

1. Choose the center. Use a clear swing high or swing low, the same kind of point you would use as an anchor for a retracement.
2. Set the first radius. In TradingView, the Fibonacci spiral tool takes two points: the first sets the center, the second sets the starting size and orientation of the spiral.
3. Pick the direction. The TradingView tool expands clockwise by default, with a Counterclockwise option to reverse it.
4. Read the touches as zones. Where price meets the curve, look for your own confirmation: a reversal candle, a break of a prior swing, a level of support or resistance that is already on the chart.

The chart above draws that example. Both spirals start from the same swing low; only the second click differs. The solid curve meets the price path at the highlighted points, the dashed one at other bars and other prices. Nothing on the chart says which set of touches matters, and once the later bars are known it is easy to keep the drawing that fits and forget the other.

Why the spiral depends on the chart scale

A circle needs one unit of length in every direction. A price chart has two different units: price on the vertical axis and time on the horizontal axis. Any spiral on a chart therefore assumes an exchange rate between a bar and a unit of price, and that exchange rate comes from the two points you click and from how the chart is scaled. Stretch the price axis, switch from a linear to a log scale, or move to a weekly chart, and the curve meets price at other places. Ratio tools such as the retracement do not have this problem, because they only measure price against price.

Does the Fibonacci spiral work?

We do not know of any reproducible test. Our test bench measures chart patterns detected by rule against random entries; it does not measure drawing tools such as the spiral (see our methodology). A fair test would need a fixed rule for the center and the first radius, a fixed chart scale, and a comparison with curves placed at random. Without that, the honest use of the spiral is as a visual reminder that moves often come in proportion to earlier ones, next to tools you can check more easily.

For related tools, see the Gann Square of 9, another spiral of numbers used for price levels, and the technical analysis guides.