D08 / Territory 8 of 49
Geometric Chart Patterns
Detect repeated price structures with explicit tolerances.
Published work
Released builds
in this territory.
Every card below is included in the current governed release with its article, sources, Python, TypeScript, and available labs.
Search the released libraryPivots and Levels
13 buildsGeometric Chart Patterns / Pivots and Levels
Causal Pivot Detection
Learn to separate pivot event time from confirmation time and implement a detector that never sees future bars with formulas, synthetic fixtures, Python, TypeScript, visuals, and an interactive lab.Geometric Chart Patterns / Pivots and Levels
ZigZag Segmentation
Learn to build a causal percentage-reversal state machine with explicit confirmed and repaintable endpoints with formulas, synthetic fixtures, Python, TypeScript, visuals, and an interactive lab.Geometric Chart Patterns / Pivots and Levels
Support/Resistance Clustering
Learn to turn confirmed pivots into scale-aware level clusters with explicit noise and knowledge time with formulas, synthetic fixtures, Python, TypeScript, visuals, and an interactive lab.Geometric Chart Patterns / Pivots and Levels
Robust Trendline Fitting
Learn to fit deterministic support or resistance trendlines without letting one outlier dominate ordinary least squares with formulas, synthetic fixtures, Python, TypeScript, visuals, and an interactive lab.Geometric Chart Patterns / Pivots and Levels
Classic and Floor-Trader Pivot Points
Projects the classic floor-trader pivot and two resistance/support pairs for each bar from the previous bar's high, low, and close.Geometric Chart Patterns / Pivots and Levels
Fibonacci Pivot Points
Takes the same (H + L + C) / 3 pivot as the classic variant but places the bands at Fibonacci fractions of the previous bar's range: r1/s1 at 0.382 of it and r2/s2 at 0.618.Geometric Chart Patterns / Pivots and Levels
Camarilla Pivot Points
Anchors its bands on the previous bar's close rather than on the pivot: r1/s1 sit at close ± 1.1 × range / 12 and r2/s2 at close ± 1.1 × range / 6.Geometric Chart Patterns / Pivots and Levels
Woodie Pivot Points
Weights the current bar's open into the pivot, (H_prev + L_prev + 2 × open) / 4, then derives r1/s1 by reflecting that pivot across the previous low and high and r2/s2 by adding and subtracting the previous bar's range.Geometric Chart Patterns / Pivots and Levels
DeMark Pivot Points
Chooses one of three formulas for the intermediate X depending on whether the previous bar closed below, above, or level with its open, then reports pivot = X / 4 with a single band pair r1 = X / 2 - L_prev and s1 = X / 2 - H_prev.Geometric Chart Patterns / Pivots and Levels
Rolling Support and Resistance
Reports, for each bar, the lowest low and highest high of the period bars that came strictly before it.Geometric Chart Patterns / Pivots and Levels
Fractal Support and Resistance
Holds the most recent confirmed five-bar fractal high and low forward as resistance and support.Geometric Chart Patterns / Pivots and Levels
ATR Support and Resistance
Places support and resistance a volatility-scaled distance either side of a simple moving average of close: center ± multiplier × ATR(period), where the ATR is Wilder-smoothed true range.Geometric Chart Patterns / Pivots and Levels
Pivot Range Width
Measures the central pivot range rather than its bands: bottom is the previous bar's midpoint (H + L) / 2, top is that midpoint reflected through the pivot, and width is the absolute distance between them.Reversal Structures
6 buildsGeometric Chart Patterns / Reversal Structures
Double Top
Double top detection: two comparable highs separated by a trough, confirmed on a close below the neckline.Geometric Chart Patterns / Reversal Structures
Double Bottom
Double bottom detection: two comparable lows separated by a peak, confirmed on a close above the neckline.Geometric Chart Patterns / Reversal Structures
Triple Top
Triple top detection: three comparable highs, confirmed on a close below the neckline.Geometric Chart Patterns / Reversal Structures
Triple Bottom
Triple bottom detection: three comparable lows, confirmed on a close above the neckline.Geometric Chart Patterns / Reversal Structures
Head and Shoulders
Head and shoulders detection: a central high flanked by two lower highs, confirmed on a close below the neckline.Geometric Chart Patterns / Reversal Structures
Inverse Head and Shoulders
Inverse head and shoulders detection: a central low flanked by two higher lows, confirmed on a close above the neckline.Continuation Structures
6 buildsGeometric Chart Patterns / Continuation Structures
Ascending Triangle
Scans a close series for an ascending triangle - a flat ceiling sitting over a rising floor - and reports whether that shape is still forming, has broken out, or was rejected.Geometric Chart Patterns / Continuation Structures
Descending Triangle
Scans a close series for a descending triangle - a falling ceiling pressing down on a flat floor - and reports whether that shape is still forming, has broken out, or was rejected.Geometric Chart Patterns / Continuation Structures
Symmetrical Triangle
Scans a close series for a symmetrical triangle - a falling ceiling and a rising floor closing on each other - and reports whether that shape is still forming, has broken out, or was rejected.Geometric Chart Patterns / Continuation Structures
Flag
Scans a close series for a flag - a strong prior move followed by a narrow channel drifting against it - and reports whether that shape is still forming, has broken out, or was rejected.Geometric Chart Patterns / Continuation Structures
Pennant
Scans a close series for a pennant - a strong prior move followed by a small converging triangle - and reports whether that shape is still forming, has broken out, or was rejected.Geometric Chart Patterns / Continuation Structures
Rising/Falling Wedge
Scans a close series for a wedge - two boundaries tilted the same way while converging - and reports whether that shape is still forming, has broken out, or was rejected.Pattern Matching
4 buildsGeometric Chart Patterns / Pattern Matching
Normalized Template Matching
Slides a template over a series and finds the window whose shape is closest to it.Geometric Chart Patterns / Pattern Matching
Dynamic-Time-Warping Pattern Match
Measures how far a query is from a candidate under dynamic time warping, which lets the two series stretch against each other in time instead of comparing them bar for bar.Geometric Chart Patterns / Pattern Matching
Matrix-Profile Motif Discovery
Computes the matrix profile of a series for a given subsequence length - for each window, the distance to its nearest non-overlapping neighbour - and reports the closest pair, the motif.Geometric Chart Patterns / Pattern Matching
Shapelet Pattern Classifier
Labels a series by how closely its best-matching window resembles a shapelet.Indicator Divergence Detection
8 buildsGeometric Chart Patterns / Indicator Divergence Detection
Price–Indicator Pivot Alignment
Aligns confirmed price and indicator pivots of the same kind within an explicit lag bound while preserving both event and knowledge indexes.Geometric Chart Patterns / Indicator Divergence Detection
Regular Bullish/Bearish Divergence Detection
Detects regular bullish and bearish divergence from causally aligned consecutive pivot pairs.Geometric Chart Patterns / Indicator Divergence Detection
Hidden Bullish/Bearish Divergence Detection
Detects hidden bullish and bearish divergence from causally aligned consecutive pivot pairs.Geometric Chart Patterns / Indicator Divergence Detection
Multi-Indicator Divergence Adapters
Normalizes indicator pivots into one polarity- and scale-aware representation for downstream divergence logic.Geometric Chart Patterns / Indicator Divergence Detection
Divergence Strength and Quality Scoring
Scores the first detected divergence from explicit geometry, prominence, alignment, and separation components.Geometric Chart Patterns / Indicator Divergence Detection
Divergence Confirmation and Invalidation State Machine
Advances the first detected divergence through causal confirmation, invalidation, and expiry checks.Geometric Chart Patterns / Indicator Divergence Detection
Multi-Indicator Divergence Confluence
Combines same-geometry divergence events across distinct indicators using declared non-negative weights.Geometric Chart Patterns / Indicator Divergence Detection
Market-Wide Divergence Scanner and Ranking
Filters point-in-time eligible universe records and ranks them from explicit confluence, state, freshness, liquidity, and data-quality components.Level Confluence and Zone Scoring
9 buildsGeometric Chart Patterns / Level Confluence and Zone Scoring
Price-by-Volume Profile Construction
Aggregates eligible point-in-time trades into deterministic tick-aligned price-by-volume bins.Geometric Chart Patterns / Level Confluence and Zone Scoring
Point of Control, Value Area, HVN, and LVN Detection
Selects the point of control, expands a deterministic value area, and identifies local high- and low-volume nodes.Geometric Chart Patterns / Level Confluence and Zone Scoring
Fibonacci Retracement and Extension Projection
Projects declared retracement and extension ratios from a directed price leg and snaps every level to the nearest tick.Geometric Chart Patterns / Level Confluence and Zone Scoring
Psychological Round-Number Level Generation
Generates tick-aligned round-number levels inside explicit bounds and labels their salience and distance from current price.Geometric Chart Patterns / Level Confluence and Zone Scoring
Multi-Source Support/Resistance Zone Fusion
Clusters nearby levels, computes deterministic zone centers, and separates accepted multi-source zones from rejected clusters.Geometric Chart Patterns / Level Confluence and Zone Scoring
Support/Resistance Zone Strength and Decay Scoring
Scores zone strength from source confluence, decayed touches, rejection quality, durability, and break penalties.Geometric Chart Patterns / Level Confluence and Zone Scoring
Support/Resistance Role-Reversal State Machine
Processes closes through active-role, break, retest, confirmation, and invalidation transitions for one zone.Geometric Chart Patterns / Level Confluence and Zone Scoring
Breakout and Retest Detection
Processes bars through breakout-pending, retest, confirmation, failure, and expiry states around one zone.Geometric Chart Patterns / Level Confluence and Zone Scoring
Market-Wide Zone-Proximity Scanner and Ranking
Filters point-in-time zone records by proximity and ranks eligible instruments from proximity, strength, and freshness.Market Structure, Breakouts, and Regimes
18 buildsGeometric Chart Patterns / Market Structure, Breakouts, and Regimes
Highest-High and Lowest-Low Primitives
The two rolling extremes every breakout rule is built on: the highest high and lowest low over a window of period bars ending at, and including, the current bar.Geometric Chart Patterns / Market Structure, Breakouts, and Regimes
Single-Asset New-High/New-Low Signal
Flags whether a single instrument's close has cleared the highest high or undercut the lowest low of the preceding period bars.Geometric Chart Patterns / Market Structure, Breakouts, and Regimes
Breakout Strength
Expresses how far a close sits beyond its Donchian channel in units of ATR, so a two-tick break in a quiet market and a two-tick break in a violent one do not score the same.Geometric Chart Patterns / Market Structure, Breakouts, and Regimes
Donchian Breakout
The Donchian channel over the preceding period bars plus the two breakout booleans it implies.Geometric Chart Patterns / Market Structure, Breakouts, and Regimes
Opening Range Breakout
Fixes the high and low of the session's first opening_bars bars and then tests every later close against that frozen range.Geometric Chart Patterns / Market Structure, Breakouts, and Regimes
Price Compression Index
Compares short-horizon volatility to long-horizon volatility as 100 × ATR(short_period) / ATR(long_period).Geometric Chart Patterns / Market Structure, Breakouts, and Regimes
Range Expansion Index
Scores directional conviction as the signed sum of close-to-close changes over period bars divided by the sum of their absolute values, scaled to ±100.Geometric Chart Patterns / Market Structure, Breakouts, and Regimes
Fractal Dimension Index
Compares the total path length walked by close over a window against the straight-line span of that window, on a log scale, and clamps the result to [1, 2].Geometric Chart Patterns / Market Structure, Breakouts, and Regimes
Hurst Exponent
A rolling rescaled-range estimate: over each window of period closes it takes the range of the mean-adjusted cumulative sum, divides by the window's standard deviation, and reports log(R/S) / log(period).Geometric Chart Patterns / Market Structure, Breakouts, and Regimes
Efficiency Ratio
Kaufman's ratio of net displacement to gross travel: the absolute change in close over period bars divided by the sum of the absolute bar-to-bar changes across the same span.Geometric Chart Patterns / Market Structure, Breakouts, and Regimes
Market Meanness Index
Counts how often close crosses the median of its own period-bar window and reports that as a percentage of the period - 1 opportunities.Geometric Chart Patterns / Market Structure, Breakouts, and Regimes
Trend/Range Regime Classifier
Labels each bar trend, range or uncertain by requiring two independent readings to agree: efficiency ratio at or above 0.55 with Choppiness at or below 45 gives trend, efficiency at or below 0.25 with Choppiness at or above 55 gives range, and…Geometric Chart Patterns / Market Structure, Breakouts, and Regimes
Volatility Regime Classifier
Computes realized volatility as the standard deviation of simple close returns over period bars, then ranks each reading against the last rank_period of them: bottom quartile is low, top quartile is high, everything between is normal.Geometric Chart Patterns / Market Structure, Breakouts, and Regimes
Directional Persistence
Maps each bar to +1, -1 or 0 by the sign of its close-to-close change, sums those signs over period bars, and reports the absolute total divided by period.Geometric Chart Patterns / Market Structure, Breakouts, and Regimes
Swing Structure Detector
Confirms five-bar swing highs and lows and labels each one against the previous swing of the same kind - HH, LH, HL, LL, or swing-high/swing-low for the first of each.Geometric Chart Patterns / Market Structure, Breakouts, and Regimes
Higher-High/Lower-Low Structure
Reduces price to the higher-high / lower-low sequence traders read structure from, labelling each confirmed five-bar swing HH, LH, HL or LL against the previous swing of its kind.Geometric Chart Patterns / Market Structure, Breakouts, and Regimes
Inside/Outside Bar Structure
Classifies each bar against its immediate predecessor as inside (high not above and low not below), outside (high not below and low not above), or neither.Geometric Chart Patterns / Market Structure, Breakouts, and Regimes
Market Entropy
Treats each bar as one of three states by the sign of its close change, then reports the Shannon entropy of the state distribution over a period-bar window, normalised by log(3) so a perfectly balanced mix scores 1.Territory coverage
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