Showing posts with label Fractals. Show all posts
Showing posts with label Fractals. Show all posts

Tuesday, January 2, 2024

A Way Of Seeing Infinity │ Benoît Mandelbrot

 
 » Why is geometry often described as 'cold' and 'dry'? One reason lies in its inability to describe the shape of a cloud, a mountain, a coastline, or a tree. Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line [...] Nature exhibits not simply a higher degree but an altogether different level of complexity [...] Bottomless wonders spring from simple rules, which are repeated without end. «
 
Benoît MandelbrotFractals: Form, Chance and Dimension, 1977.
 
Infinite Self-Similarity-Zoom.

Sunday, July 10, 2022

Three Bar Patterns: The Smallest Fractals of Market Structure | Larry Williams

This is how Larry Williams defines market structure:  
 
"Any time there is a daily low with higher lows on both sides of it, that low will be a short-term low. We know this because a study of market action will show that prices descended in the low day, then failed to make a new low, and thus turned up, marking that ultimate low as a short-term point. A short-term market high is just the opposite. Here we will see a high with lower highs on both sides of it. What this says is that prices rallied up to the zenith of that middle day, then began to move back down, and in the process formed a short-term high. For our purposes in identifying short-term swing points, we will simply ignore inside days and the possible short-term points they produce."  
 
His concept is universal and applies to all bars in all time frames.
 
  • A Short-Term High (STH) is a bar with a high greater than or equal to the high of the bar to the left and greater than the bar high to the right. Neighboring bars should not be inside. If they are inside bars, the bars that follow them should be analyzed.
  • A Medium-Term High (MTH) has Short-Term Highs to the left and and to the right that are below the high of this bar.
  • A Long-Term High (LTH) has Medium-Term Highs to the left and and to the right that are below the high of this bar.

And for the lows, it's the opposite: 

  • Short-Term Low (STL) = bar with higher lows on both sides
  • Intermediate-Term Low (ITL) = higher STL on both sides
  • Long-Term Low (LTL) = higher ITL on both sides

In other words, three bar patterns are the smallest fractals and building blocks of market structure. Since price is always either in consolidation, an uptrend, or a downtrend, three successive price bars must form either a directional pattern (higher highs, higher lows, or vice versa), a continuation pattern (e.g., also including an inside bar), or a reversal pattern (e.g., outside bar, pin bar, head & shoulders, V, A, or M&W patterns)(see also HERE):

  

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