The numerical sequence discovered by Italian mathematician Leonardo of Pisa in the 13th century follows a simple yet fascinating pattern: each number is the sum of the two previous ones (1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144…). What makes this progression special is its fundamental mathematical relationship: the division between consecutive numbers converges to 1.618, known as the golden ratio or the number of beauty.
The Golden Ratio in Nature and Markets
This magical proportion is no mere mathematical coincidence. The ancients already knew it – it appears in Euclid’s Elements (300 B.C.), used in the construction of perfect geometric shapes. In nature, we find it in the spirals of shells, the spacing between leaves, galaxies, and even in the proportions of the human body. Scientist Eduard Soroko observed that everything that grows and seeks to occupy its space naturally follows these proportions.
In financial markets, traders recognize the same pattern. Since all participants see the same charts and apply the same tools, the Fibonacci sequence becomes a common language that predicts price behaviors with surprising frequency.
Fibonacci Levels in Practice
Applying Fibonacci is straightforward: identify a clear trend, mark the peak and the trough, and stretch the grid over the chart. The main levels then appear:
Corrections:
38.2% (0.382)
50.0% (0.5)
61.8% (0.618) – the most reliable
Intermediate Levels:
23.6% (0.236)
76.4% (0.764)
Extensions (when the price goes beyond):
100% (1.0)
138.2% (1.382)
161.8% (1.618)
Trading in Uptrends
When the market rises, pullbacks (corrections) are opportunities. The Fibonacci grid provides precise levels to re-enter long positions, taking advantage of retracements before the upward movement continues. These levels also help determine where to place your stop-loss rationally, protecting your position.
Trading in Downtrends
In falling markets, confirmations appear when the price corrects up to 50% or 61.8% before heading to new lows. The grid assists in identifying these temporary resistance points.
Why Fibonacci Works
The answer is simple: it works because everyone uses it. In technical analysis, the tool gains power when it absorbs collective attention. Moreover, the universe itself seems to tend toward the proportion 0.618 – making Fibonacci more than a convention, but a natural principle of markets.
However, recognize its limitations: Fibonacci is not a magic solution, but a robust aid. Use it to identify movement amplitudes and critical support and resistance levels. Combine it with candlestick patterns, trend structure analysis, and a clear understanding of market direction for better results.
Deepen Your Knowledge
For those wishing to master this topic, the following works offer complementary perspectives:
“The Elliott Wave Principle” (A. Frost and R. Prechter): The classic fundamentals of wave theory
“Disobedient Markets” (B. Mendelbrot and R. Hudson): A modern view on fractals and market rhythms
“The Fibonacci Sequence: Applications and Strategies for Traders” (R. Fisher): Practical Fibonacci applications in real strategies
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How to Apply Fibonacci in Cryptocurrency Technical Analysis
The numerical sequence discovered by Italian mathematician Leonardo of Pisa in the 13th century follows a simple yet fascinating pattern: each number is the sum of the two previous ones (1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144…). What makes this progression special is its fundamental mathematical relationship: the division between consecutive numbers converges to 1.618, known as the golden ratio or the number of beauty.
The Golden Ratio in Nature and Markets
This magical proportion is no mere mathematical coincidence. The ancients already knew it – it appears in Euclid’s Elements (300 B.C.), used in the construction of perfect geometric shapes. In nature, we find it in the spirals of shells, the spacing between leaves, galaxies, and even in the proportions of the human body. Scientist Eduard Soroko observed that everything that grows and seeks to occupy its space naturally follows these proportions.
In financial markets, traders recognize the same pattern. Since all participants see the same charts and apply the same tools, the Fibonacci sequence becomes a common language that predicts price behaviors with surprising frequency.
Fibonacci Levels in Practice
Applying Fibonacci is straightforward: identify a clear trend, mark the peak and the trough, and stretch the grid over the chart. The main levels then appear:
Corrections:
Intermediate Levels:
Extensions (when the price goes beyond):
Trading in Uptrends
When the market rises, pullbacks (corrections) are opportunities. The Fibonacci grid provides precise levels to re-enter long positions, taking advantage of retracements before the upward movement continues. These levels also help determine where to place your stop-loss rationally, protecting your position.
Trading in Downtrends
In falling markets, confirmations appear when the price corrects up to 50% or 61.8% before heading to new lows. The grid assists in identifying these temporary resistance points.
Why Fibonacci Works
The answer is simple: it works because everyone uses it. In technical analysis, the tool gains power when it absorbs collective attention. Moreover, the universe itself seems to tend toward the proportion 0.618 – making Fibonacci more than a convention, but a natural principle of markets.
However, recognize its limitations: Fibonacci is not a magic solution, but a robust aid. Use it to identify movement amplitudes and critical support and resistance levels. Combine it with candlestick patterns, trend structure analysis, and a clear understanding of market direction for better results.
Deepen Your Knowledge
For those wishing to master this topic, the following works offer complementary perspectives: