Rethinking Trends, Fractals, and a Multi-Timeframe Perspective
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27 August 2026
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I. Rethinking Trends, Fractals, and a Multi-Timeframe Perspective
1
Markets are chaotic and unpredictable by nature, yet they still form self-similar recurring patterns. These patterns, as the results of decisions, in turn influence participants’ decisions to a considerable extent By reading price action, market participants can learn how broad pricing behavior unfolds. This does not mean that simple technical analysis can produce astrological-style predictions. On the contrary, compared with prediction, reading price action is more about identifying and understanding “what is happening.” To identify it well, the first requirement is to have a market language for interpreting price action。
Chart:NDX(Monthly chart, as of 2608)
As a fundamental building block of market language, one perspective is the fractal perspective.The concept of fractals originated in mathematics and was later widely applied in other fields, including audiovisual media, physics, and biology. The advent of fractal geometry made it possible to measure and describe natural structures once considered immeasurable, including, but not limited to, clouds, coastlines, protein structures, snowflakes, and trees.
The key features of fractals are iteration and self-similarity. The best-known iterative model is the Fibonacci sequence, which was later also applied independently to chart pattern recognition in technical analysis. Those of you who have used it to measure price targets have, in fact, already encountered the philosophy of fractals without realizing it.
The feature of self-similarity is linked to the more fundamental multi-timeframe structure of financial markets.Countless participants and pools of capital engage in the market across different timeframes, based on their own decision-making rationales and horizons. Most sovereign entities and large financial institutions make decisions on weekly and monthly timeframes, individual traders tend to focus on the daily timeframe, while many algorithmic trading strategies operate down to the minute or even the second, providing liquidity.
Figure: The world of patterns arises from visual cues at every moment
A foundational understanding of technical analysis from a fractal perspective is that, since individual and collective behavior is underpinned by the same fundamental human nature, or by the algorithms derived from it, seemingly irregular price movements still display highly self-similar recurring patterns across multiple timeframes.
In other words, why are the two features of fractals—iteration and self-similarity—so important? Because together they form the fundamental assumptions underlying the entire system of technical analysis: 1) Market pricing is the full outcome of the iterative interaction of collective behavior; all information is already reflected in prices before it appears before people in the form of language or financial data. 2) Collective behavior has similar characteristics, so judgments based on today's information can yield a specific expected distribution of future outcomes. 3) The distribution of outcomes holds across multiple timeframes. This means the method can produce consistent results on a particular timeframe, as well as across iterative timeframe structures in both directions: seconds to minutes, minutes to hours, and hours to days, weeks, and months.
2
Once we understand fractals, it is natural to ask why they are the first lesson in this handbook. Fractals are the most fundamental building blocks of any pattern or trend. Whatever timeframe you use to make decisions, execute trades, and set recognition criteria, fractals are the most basic units of construction; this section explains their mathematical definition.
Note that this article discusses only local extrema fractals formed by candlesticks in technical analysis; these are not the same as self-similar sets in the strict sense of fractal geometry. The definition uses only the high H and low L;the open O and close C are used only to draw the candlestick body and for subjective early confirmation。
Let a finite K-line sequence consist of a total of T completed bars; each bar contains four fields: the open, high, low, and close. The notation is standardized as follows:
Given a positive integer radius, take the same number of bars to the left and right of the t-th bar as the center,
forming a symmetric window of odd length:
A top fractal and a bottom fractal are regions in which the center bar forms a high or low within the window:
The indicator function is defined as follows; the strict inequalities ensure that the central extremum is unique within the window:
Here, k denotes the radius of the left and right windows; the indicator function takes the value one when the event holds. The fractal is attributed to the central candlestick, and standard confirmation occurs when the final candlestick on the right is complete; the same center may simultaneously qualify as both a top and a bottom fractal.
The chart above shows a standard three-candlestick fractal example, in fact, compared with the three-candlestick fractal, I would prefer to call it a one-delay fractal; this name more clearly conveys the essence of the fractal: it is a fractal pattern that requires at least one candle of delay for confirmation, and traders need to confirm their execution entry near the close of the candle after the top or bottom candle.
The criteria are as follows:
The fractal’s shape is attributed to the central candlestick, but it cannot be confirmed until the candle after the center has closed. Therefore, the earliest a closing decision can be made is after that right-side candle closes; if execution is at the next open, it must be deferred by one more candlestick. In practice, if you already have a directional view of the trade as a whole, it is better to act at the close, or even upon an intraday breakout, so as to enter as early as possible relative to others.Ultimately, your trading profits come from other people’s losses. Given that premise, how to get ahead while maintaining a certain degree of certainty is a key objective in applying technical analysis. It is a form of arbitrage in which the certainty for you is greater than the market average.
From day one, you should know that, excess returns come only from:
arbitraging under an advantageous structure (relative to the market average).
The chart above shows a fractal structure with K=2, which is more widely used by swing traders; I call it a two-delay fractal. The central high of a top fractal is higher than the highs of the four comparison candlesticks on either side, while the central low of a bottom fractal is lower than the lows of the four comparison candlesticks on either side.
In actual market movements, there can also be cases of tied highs or tied lows. Unless the equality rule is specified in advance, the same data may produce different results on different platforms or in different code.For equal values, we accept that they simultaneously carry the dual attribute; that is, within a higher-timeframe structure, they can serve as both a top fractal and a bottom fractal to confirm the structure.
Besides confirmation at the close, there is a more aggressive form of confirmation based on an intraday break through the central candle’s body. This pattern often also appears as an engulfing pattern near a key price level on a higher time frame, and confirmation is often stronger when the two occur together than when either occurs alone, with no gap being preferable here, since both sides of the market can fully contend at this level.
Definition of the upper and lower boundaries of the central candlestick’s body:
Record the index of the first subsequent candlestick that meets the breakout condition as the breakout confirmation time:
Breakout confirmation indicates the direction and strength of a reversal, but while the k candlesticks on the right have not all completed, it remains an early confirmation of a candidate structure and does not mean that a standard fractal has been definitively established. Under the same strict criteria, a five-candlestick fractal imposes a stronger local-extremum condition. Every five-candlestick top fractal necessarily qualifies as a three-candlestick top fractal, and every five-candlestick bottom fractal necessarily qualifies as a three-candlestick bottom fractal; the converse does not hold. This distinction will be explored in detail later; in fact, Choosing which one to use is a trade-off between sensitivity and confirmation.Which one to use depends on multiple factors across different multi-timeframe scenarios and the bigger picture.
Beyond that, actual markets are often not as mathematically perfect as a model; more candlesticks may be needed to complete the final confirmation. However, confirmation is objectively defined and can be extended, so this is where flexibility is needed.
Figure: A bottom fractal reversal in the U.S. Dollar Index
3
From the very first day you enter the market, you need to make yourself adopt and stick to a multi-timeframe (MTF) perspective. This point wasAri’s WEEKLY WRAP 260823》thoroughly explained in:
More important than structure is a multi-timeframe (MTF) perspective. The Buddha sees eighty-four thousand insects in a bowl of water; the prices you see with your naked eye are the same. Behind every one or several bars lie dozens, hundreds, or even thousands more bars. Each bar at each level is linked to different market participants and algorithmic models. This is the essence of multiple timeframes...
The essence of a top fractal is a process of price acceptance, price rejection, and price acceptance on a smaller timeframe.The bulls’ advance loses momentum after making a new high, while the bears complete an engulfing move after the new high, first negating the higher bottom fractal and higher top fractal on the smaller timeframe. Next, consensus traders follow closely by confirming acceptance of a lower bottom fractal and a lower top fractal on the smaller timeframe, which is reflected on the larger timeframe as a break through the body of the center candlestick.
Figure: The U.S. Dollar Index on the daily chart
Figure: The U.S. Dollar Index on the minute chart; what happened inside the red circle behind that single candlestick
The process of improving your market feel and eye through diligent practice is the process of learning to see deeper at a glance.Many people look at a candlestick and see only its rise or fall. But an exceptional trader can see one, two, or even three layers of fractal iteration behind it, as well as the further battles between bulls and bears taking place there.
Always pay attention to what is happening outside the timeframe you are betting on. What may seem unrelated to you is actually closely connected. The contests on larger timeframes form the backdrop to your bet, while those on smaller timeframes construct your timeframe at the very margin, Your timeframe is the result of the iteration of larger and smaller timeframes.
4
At this point, we can build a basic method for identifying trends and non-trending conditions. Though basic, in practical terms it can outperform the 99% trend-identification systems you see on the market.Everything in the manual is practical, with the aim of making it possible to put what you learn to use immediately. Only by applying it in the actual market can you continually improve how well the techniques mesh with your own system, in service of the goal of earning profits in the market.
Generally speaking, because one-bar delayed fractals appear frequently in price action and create too much noise, a trend-identification system should be built on at least two-bar delayed fractals. The use of one-bar delayed fractals will be discussed in a later section of the manual, including how to retain the most sensitive leading edge while also achieving as much stability as possible, in order to obtain better probability, payoff, and expected outcomes.
1) Uptrend: higher bottom fractals and higher top fractals
2) Downtrend: lower bottom fractals and lower top fractals
3) Ranging price action: all other cases
Chart:NDX(Monthly chart, 1990-2004)
The chart above is the monthly chart of NDX in the 90s; the lower panel shows statistics on price changes within trends. The maximum gain within a trend reached 600%. If you can clearly identify a trend’s persistence, and were trading in the market in the 90s, you would not have missed this major rally either.There is no need to worry about supposedly missing out, because the market will tell you itself when it is coming to an end.
As you can see in the chart, a series of higher lows and higher highs formed an uptrend, shown by the green background, while around the 2000 year and -2001 year a break below the latest bottom fractal at the time (a variant of the immediate-use approach, in which a renewed rejection of the previous latest bottom or top fractal can also be regarded as the end of a trend or a trend reversal)announced the end of this nearly decade-long advance. The bear market began and persisted until 04, when it finally eased. If you had used so-called upward trendlines to mark support at the time, you would have lagged the fractal confirmation by at least 4 weeks. If you had used a medium-term moving average, you would have lagged the fractal confirmation by at least 6 weeks.
Chart:MU(Daily chart, as of 260827)
The chart above shows price action from the beginning of MU to date. It is clear that the two major trends are both identified very cleanly through the formation of fractals, capturing swings of 60% and 165%, respectively, and retaining profits of 53% and 140% when the trends ended. If you traded only these two moves, the compounded return would be approximately 370%, while MU’s total gain from the first trend at the beginning of the year to date is approximately 270%.
5
Any tool must be used with the strictest scrutiny. To borrow Munger’s words, what you always need to know is not what you can do, but what you cannot do—where, exactly, you will die. If you know where you will die, never go there. Knowing what not to do is often far more important than knowing what to do.。
The problem with fractals is that they only consider local structure, and do not inherently account for the broader context or MTF structure.To address this, combining rectangles with a broader time-frame perspective can lead to better decisions:
Chart: MU (daily chart, as of 260827)
Taking MU as an example again, most trendless periods and losing trades occur within rectangle structures. If you can identify these structures, when to act—and when it is appropriate not to act—becomes much clearer. To some extent, this also lets you intelligently avoid the weaknesses of fractals.
Rectangles can likewise be identified using fractals, including the threshold method and the extreme-line method. There are actually even better ways to identify them, but let us set those aside for now. In the chapter on using fractals, we will first develop a thorough understanding of them; later, we will gradually expand on the discussion and help you find the right tool—the one that plays to your strengths—for every action.When participating in the market, discard the traditional idea of compensating for weaknesses. Trying to shore up weaknesses is useless; we should make the best use of everything and use the best available tool in each situation.
...
First, the threshold method:
After measuring price changes within fractal trends (shown in the lower panel of the chart), for each instrument we can derive a consolidation threshold line—that is, an indication of the approximate range in which the rectangle characteristics of a particular instrument lie. For MU, for example, the threshold line is approximately within 20%. This is a better way to identify ranges and trends than traditional channels and indicators such as ADX.
Every instrument has its own set of characteristic values within a given time frame. These values are determined by the instrument’s main participants during that time frame. Traditionally, some call these main participants the “market makers”; Graham’s term, “Mr. Market,” can also be used. Some instruments are made up of speculative capital, some are major allocations for insurance funds, and others are linked to broader cross-market instruments. Behind them are different market figures—Mr. A, Mr. B—and particular pools of capital are often linked to particular behaviors. Price suppression, accumulation, and distribution are all deliberately or unintentionally kept within the threshold, and the trading range within that threshold naturally forms a dynamic rectangle. Sometimes this range departs from the rectangle that the eye can directly see and appears in various forms. But you can see through appearances to the underlying reality: behind all these varied shapes, they are all rectangles.
The stage approach represented by Stan Weinstein and the price-volume approach represented by Richard Wyckoff both attempt to identify and classify consolidation ranges. The former divides them into Stage1 and Stage3, while the latter divides them into accumulation and distribution. In essence, whether they are called 1 and 3 or accumulation and distribution, non-trending ranges are the enemy of all traders and investors. Ultimately, everything comes down to trying to do one thing: act only when it is time to act, as much as possible.
Both of these approaches have some fundamental problems, which is why I basically don't use them. In fact, if you use them directly, they both have negative expected returns and will lose money over the long run. Later, I’ll share how I’ve adapted the material on these approaches.
Chart: CMX gold (daily chart, as of 260827), rectangles identified by the feature-threshold method (areas to avoid)
...
Besides the threshold method, there is also the extreme-value method.The extreme-value method essentially treats trend-ending fractals that reject trend continuation as extreme highs or lows, then adds buffer zones above and below these points. Until subsequent price action breaks out of a buffer zone, the area can be viewed as a directionless range in which price continues to be rejected at that point:
Chart: Changfei Optical Fiber (weekly chart, as of 260827), rectangles identified by the extreme-value method (areas to avoid)
Taking the chart above as an example, after the downward fractal swing in year 21 was invalidated, it effectively marked an extreme price at the bottom of a rectangle. This price matters because bears were rejected there. After the upward fractal swing in the middle of year 22 was capped, it effectively marked an extreme price at the top of a rectangle, and this price matters because bulls were rejected there. These rejections at the top and bottom define a value range. Until price breaks out of that range, mean-reversion trading will have the upper hand and trend trading will take a temporary pause. The larger the swing within the trend before the rejection, the stronger the rejection price.
6
The material above Section Six is written for swing and position traders. From here, Section Six is for short-term traders who scalp. First, an important disclaimer: I do not want any of you to become short-term traders, because short-term price fluctuations offer no excess returns. There are no real profits in scalping; the money you make here is more like a wage or compensation. The only way out of this kind of trading is to use leverage, but that also tends to be a dead end.
For the swing traders I hope you will become, daily P&L fluctuations and intraday market structure are things that need to be blocked out completely. Repeated exposure to noise will make you give up all your favorable odds—you’ll cut off your right tail, take on all the stop-loss risk, and then voluntarily truncate the potential returns that go with it. Add normal probabilities to the mix, and the result won’t be good. This is also where the vast majority of retail traders operate, which is why they lose money, or make money occasionally but lose over the long run, or earn less than they would from a wage. In short, even if you use it, I don’t recommend making it your main tool, because it really isn’t a good habit. It’s a bit like drug use: it can damage your brain and your nervous system’s habits to the point that you can no longer truly ride a trend. It’s an addictive behavior, and its physiological effects are fairly similar to those of gambling.
Chart:SMH(Daily chart)
Chart: SI (daily chart)
If you look carefully at the image above, you’ll get a very clear answer: 1)A truly smooth rise will not produce a top fractal, and a truly smooth decline will not produce a bottom fractal; once a fractal opposing the trend appears, 2), the vast majority of cases will enter an ambiguous zone of consolidation, stagnation, or reduced volatility. This does not mean that the trend over a longer time frame has come to a halt, but it does mean that the best window for deploying capital has passed.If your goal is to maximize capital utilization through scalping then what you should be looking for is a definable, smooth rise or smooth decline.
The best approach here is also to use a MTF perspective. That is, if your holding period is measured in hours, look for a smooth move on the daily chart. If your holding period is 15 minutes, work to identify a potential smooth move following a breakout near a key price level on the hourly chart.
This is also an if...then logic: if a rise or decline is smooth, there will be no pause before the initial pricing is complete. Initial pricing is often the climactic stage of expanding volatility. Many traders have discussed this, for example EP and others; they are all, in fact, betting on the initial pricing.
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