Adaptive Pivot Circles▶Overview
The Adaptive Pivot Circles is a unique geometric indicator that visualizes dynamic market volatility and potential support/resistance zones. Instead of relying on traditional horizontal lines or linear trends, this script projects historical price and time movements into two-dimensional geometric circles.
By applying a Kalman Filter to the distances between historical pivots, the indicator calculates an adaptive, noise-resistant average radius, providing a highly responsive and visually stunning representation of market cycles.
▶Core Concepts & Mechanics
1. Advanced Pivot Detection with ATR Filtering
The script identifies significant Pivot Highs (PH) and Pivot Lows (PL) across the chart. To eliminate market noise and prevent minor pullbacks from distorting the geometry, a built-in ATR Filter is applied. A pivot is only considered valid if its height/depth exceeds a specified multiple of the Average True Range (ATR).
2. Adaptive Radius via Kalman Filter
Most indicators use Simple Moving Averages (SMA) to calculate historical data, which inherently introduces lag. This indicator utilizes a 1D Kalman Filter to estimate the "true" historical radius—measuring both time (X-axis, bars) and price (Y-axis)—between similar pivots (i.e., PH to PH, and PL to PL).
Process Noise (Q): Controls how quickly the filter adapts to new data.
Measurement Noise (R): Controls how much the filter smooths out sudden spikes.
3. Geometric Projection (The Rolling Circles)
When a new pivot is confirmed, the script projects the anticipated market boundaries. The geometric concept is based on a circle connecting the current pivot to the previous one. If you roll that connecting circle around the current pivot, it creates an outer boundary.
To visualize this, the indicator draws two concentric zones around the newly formed pivot:
Inner Ring: Radius is 2x the Kalman-averaged historical radius.
Outer Ring: Radius is 4x the Kalman-averaged historical radius.
▶Key Features & Settings
Kalman Filter Tuning: Fully adjustable Process Noise (Q) and Measurement Noise (R) allow you to fine-tune the algorithm for different timeframes and assets.
Visual Aesthetics (Polyline Drawing): Built using Pine Script v5's advanced polyline drawing objects, the indicator features smooth curves, customizable fill transparencies, and a beautiful Glow Effect (layering transparent thick lines under crisp main lines).
Performance Optimization: You can adjust the Circle Resolution (number of points) to balance between perfect roundness and script rendering performance.
Historical Cleanup: Automatically cleans up old projections to keep your chart uncluttered. Adjust Max History Circles to determine how many recent cycles remain visible.
▶How to Use
Dynamic Support & Resistance: The circumferences of the projected circles often act as non-linear support and resistance levels. Watch for price action reactions as the market approaches the Inner or Outer Rings.
Volatility Gauge: The size of the circles visually represents the current market volatility and the length of recent price swings.
Confluence: Use these geometric projections in conjunction with your existing strategies (e.g., Fibonacci, Volume Profile) to find high-probability reversal zones where price intersects with the circle boundaries.
Disclaimer: This script is for educational and visual purposes only. Geometric projections are not guarantees of future price action. Always use proper risk management. Indicator
Fibonacci Circle Zones🟩 The Fibonacci Circle Zones indicator is a technical visualization tool, building upon the concept of traditional Fibonacci circles. It provides configurable options for analyzing geometric relationships between price and time, used to identify potential support and resistance zones derived from circle-based projections. The indicator constructs these Fibonacci circles based on two user-selected anchor points (Point A and Point B), which define the foundational price range and time duration for the geometric analysis.
Key features include multiple mathematical Circle Formulas for radius scaling and several options for defining the circle's center point, enabling exploration of complex, non-linear geometric relationships between price and time distinct from traditional linear Fibonacci analysis. Available formulas incorporate various mathematical constants (π, e, φ variants, Silver Ratio) alongside traditional Fibonacci ratios, facilitating investigation into different scaling hypotheses. Furthermore, selecting the Center point relative to the A-B anchors allows these circular time-price patterns to be constructed and analyzed from different geometric perspectives. Analysis can be further tailored through detailed customization of up to 12 Fibonacci levels, including their mathematical values, colors, and visibility..
📚 THEORY and CONCEPT 📚
Fibonacci circles represent an application of Fibonacci principles within technical analysis, extending beyond typical horizontal price levels by incorporating the dimension of time. These geometric constructions traditionally use numerical proportions, often derived from the Fibonacci sequence, to project potential zones of price-time interaction, such as support or resistance. A theoretical understanding of such geometric tools involves considering several core components: the significance of the chosen geometric origin or center point , the mathematical principles governing the proportional scaling of successive radii, and the fundamental calculation considerations (like chart scale adjustments and base radius definitions) that influence the resulting geometry and ensure its accurate representation.
⨀ Circle Center ⨀
The traditional construction methodology for Fibonacci circles begins with the selection of two significant anchor points on the chart, usually representing a key price swing, such as a swing low (Point A) and a subsequent swing high (Point B), or vice versa. This defined segment establishes the primary vector—representing both the price range and the time duration of that specific market move. From these two points, a base distance or radius is derived (this calculation can vary, sometimes using the vertical price distance, the time duration, or the diagonal distance). A center point for the circles is then typically established, often at the midpoint (time and price) between points A and B, or sometimes anchored directly at point B.
Concentric circles are then projected outwards from this center point. The radii of these successive circles are calculated by multiplying the base distance by key Fibonacci ratios and other standard proportions. The underlying concept posits that markets may exhibit harmonic relationships or cyclical behavior that adheres to these proportions, suggesting these expanding geometric zones could highlight areas where future price movements might decelerate, reverse, or find equilibrium, reflecting a potential proportional resonance with the initial defining swing in both price and time.
The Fibonacci Circle Zones indicator enhances traditional Fibonacci circle construction by offering greater analytical depth and flexibility: it addresses the origin point of the circles: instead of being limited to common definitions like the midpoint or endpoint B, this indicator provides a selection of distinct center point calculations relative to the initial A-B swing. The underlying idea is that the geometric source from which harmonic projections emanate might vary depending on the market structure being analyzed. This flexibility allows for experimentation with different center points (derived algorithmically from the A, B, and midpoint coordinates), facilitating exploration of how price interacts with circular zones anchored from various perspectives within the defining swing.
Potential Center Points Setup : This view shows the anchor points A and B , defined by the user, which form the basis of the calculations. The indicator dynamically calculates various potential Center points ( C through N , and X ) based on the A-B structure, representing different geometric origins available for selection in the settings.
Point X holds particular significance as it represents the calculated midpoint (in both time and price) between A and B. This 'X' point corresponds to the default 'Auto' center setting upon initial application of the indicator and aligns with the centering logic used in PulseWire's standard Fibonacci Circle tool, offering a familiar starting point.
The other potential center points allow for exploring circles originating from different geometric anchors relative to the A-B structure. While detailing the precise calculation for each is beyond the scope of this overview, they can be broadly categorized: points C through H are derived from relationships primarily within the A-B time/price range, whereas points I through N represent centers projected beyond point B, extrapolating the A-B geometry. Point J, for example, is calculated as a reflection of the A-X midpoint projected beyond B. This variety provides a rich set of options for analyzing circle patterns originating from historical, midpoint, and extrapolated future anchor perspectives.
Default Settings (Center X, FibCircle) : Using the default Center X (calculated midpoint) with the default FibCircle . Although circles begin plotting only after Point B is established, their curvature shows they are geometrically centered on X. This configuration matches the standard PulseWire Fib Circle tool, providing a baseline.
Centering on Endpoint B : Using Point B, the user-defined end of the swing, as the Center . This anchors the circular projections directly to the swing's termination point. Unlike centering on the midpoint (X) or start point (A), this focuses the analysis on geometric expansion originating precisely from the conclusion of the measured A-B move.
Projected Center J : Using the projected Point J as the Center . Its position is calculated based on the A-B swing (conceptually, it represents a forward projection related to the A-X midpoint relationship) and is located chronologically beyond Point B. This type of forward projection often allows complete circles to be visualized as price develops into the corresponding time zone.
Time Symmetry Projection (Center L) : Uses the projected Point L as the Center . It is located at the price level of the start point (A), projected forward in time from B by the full duration of the A-B swing . This perspective focuses analysis on temporal symmetry , exploring geometric expansions from a point representing a full time cycle completion anchored back at the swing's origin price level.
⭕ Circle Formula
Beyond the center point , the expansion of the projected circles is determined by the selected Circle Formula . This setting provides different mathematical methods, or scaling options , for scaling the circle radii. Each option applies a distinct mathematical constant or relationship to the base radius derived from the A-B swing, allowing for exploration of various geometric proportions.
eScaled
Mathematical Basis: Scales the radius by Euler's number ( e ≈ 2.718), the base of natural logarithms. This constant appears frequently in processes involving continuous growth or decay.
Enables investigation of market geometry scaled by e , exploring relationships potentially based on natural exponential growth applied to time-price circles, potentially relevant for analyzing phases of accelerating momentum or volatility expansion.
FibCircle
Mathematical Basis: Scales the radius to align with PulseWire’s built-in Fibonacci Circle Tool.
Provides a baseline circle size, potentially emulating scaling used in standard drawing tools, serving as a reference point for comparison with other options.
GoldenFib
Mathematical Basis: Scales the radius by the Golden Ratio (φ ≈ 1.618).
Explores the fundamental Golden Ratio proportion, central to Fibonacci analysis, applied directly to circular time-price geometry, potentially highlighting zones reflecting harmonic expansion or retracement patterns often associated with φ.
GoldenContour
Mathematical Basis: Scales the radius by a factor derived from Golden Ratio geometry (√(1 + φ²) / 2 ≈ 0.951). It represents a specific geometric relationship derived from φ.
Allows analysis using proportions linked to the geometry of the Golden Rectangle, scaled to produce circles very close to the initial base radius. This explores structural relationships often associated with natural balance or proportionality observed in Golden Ratio constructions.
SilverRatio
Mathematical Basis: Scales the radius by the Silver Ratio (1 + √2 ≈ 2.414). The Silver Ratio governs relationships in specific regular polygons and recursive sequences.
Allows exploration using the proportions of the Silver Ratio, offering a significant expansion factor based on another fundamental metallic mean for comparison with φ-based methods.
PhiDecay
Mathematical Basis: Scales the radius by φ raised to the power of -φ (φ⁻ᵠ ≈ 0.53). This unique exponentiation explores a less common, non-linear transformation involving φ.
Explores market geometry scaled by this specific phi-derived factor which is significantly less than 1.0, offering a distinct contractile proportion for analysis, potentially relevant for identifying zones related to consolidation phases or decaying momentum.
PhiSquared
Mathematical Basis: Scales the radius by φ squared, normalized by dividing by 3 (φ² / 3 ≈ 0.873).
Enables investigation of patterns related to the φ² relationship (a key Fibonacci extension concept), visualized at a scale just below 1.0 due to normalization. This scaling explores projections commonly associated with significant trend extension targets in linear Fibonacci analysis, adapted here for circular geometry.
PiScaled
Mathematical Basis: Scales the radius by Pi (π ≈ 3.141).
Explores direct scaling by the fundamental circle constant (π), investigating proportions inherent to circular geometry within the market's time-price structure, potentially highlighting areas related to natural market cycles, rotational symmetry, or full-cycle completions.
PlasticNumber
Mathematical Basis: Scales the radius by the Plastic Number (approx 1.3247), the third metallic mean. Like φ and the Silver Ratio, it is the solution to a specific cubic equation and relates to certain geometric forms.
Introduces another distinct fundamental mathematical constant for geometric exploration, comparing market proportions to those potentially governed by the Plastic Number.
SilverFib
Mathematical Basis: Scales the radius by the reciprocal Golden Ratio (1/φ ≈ 0.618).
Explores proportions directly related to the core 0.618 Fibonacci ratio, fundamental within Fibonacci-based geometric analysis, often significant for identifying primary retracement levels or corrective wave structures within a trend.
Unscaled
Mathematical Basis: No scaling applied.
Provides the base circle defined by points A/B and the Center setting without any additional mathematical scaling, serving as a pure geometric reference based on the A-B structure.
🧪 Advanced Calculation Settings
Two advanced settings allow further refinement of the circle calculations: matching the chart's scale and defining how the base radius is calculated from the A-B swing.
The Chart Scale setting ensures geometric accuracy by aligning circle calculations with the chart's vertical axis display. Price charts can use either a standard (linear) or logarithmic scale, where vertical distances represent price changes differently. The setting offers two options:
Standard : Select this option when the price chart's vertical axis is set to a standard linear scale.
Logarithmic : It is necessary to select this option if the price chart's vertical axis is set to a logarithmic scale. Doing so ensures the indicator adjusts its calculations to maintain correct geometric proportions relative to the visual price action on the log-scaled chart.
The Radius Calc setting determines how the fundamental base radius is derived from the A-B swing, offering two primary options:
Auto : This is the default setting and represents the traditional method for radius calculation. This method bases the radius calculation on the vertical price range of the A-B swing, focusing the geometry on the price amplitude.
Geometric : This setting provides an alternative calculation method, determining the base radius from the diagonal distance between Point A and Point B. It considers both the price change and the time duration relative to the chart's aspect ratio, defining the radius based on the overall magnitude of the A-B price-time vector.
This choice allows the resulting circle geometry to be based either purely on the swing's vertical price range ( Auto ) or on its combined price-time movement ( Geometric ).
🖼️ CHART EXAMPLES 🖼️
Default Behavior (X Center, FibCircle Formula) : This configuration uses the midpoint ( Center X) and the FibCircle scaling Formula , representing the indicator's effective default setup when 'Auto' is selected for both options initially. This is designed to match the output of the standard PulseWire Fibonacci Circle drawing tool.
Center B with Unscaled Formula : This example shows the indicator applied to an uptrend with the Center set to Point B and the Circle Formula set to Unscaled . This configuration projects the defined levels (0.236, 0.382, etc.) as arcs originating directly from the swing's termination point (B) without applying any additional mathematical scaling from the formulas.
Visualization with Projected Center J : Here, circles are centered on the projected point J, calculated from the A-B structure but located forward in time from point B. Notice how using this forward-projected origin allows complete inner circles to be drawn once price action develops into that zone, providing a distinct visual representation of the expanding geometric field compared to using earlier anchor points. ( Unscaled formula used in this example).
PhiSquared Scaling from Endpoint B : The PhiSquared scaling Formula applied from the user-defined swing endpoint (Point B). Radii expand based on a normalized relationship with φ² (the square of the Golden Ratio), creating a unique geometric structure and spacing between the circle levels compared to other formulas like Unscaled or GoldenFib .
Centering on Swing Origin (Point A) : Illustrates using Point A, the user-defined start of the swing, as the circle Center . Note the significantly larger scale and wider spacing of the resulting circles. This difference occurs because centering on the swing's origin (A) typically leads to a larger base radius calculation compared to using the midpoint (X) or endpoint (B). ( Unscaled formula used).
Center Point D : Point D, dynamically calculated from the A-B swing, is used as the origin ( Center =D). It is specifically located at the price level of the swing's start point (A) occurring precisely at the time coordinate of the swing's end point (B). This offers a unique perspective, anchoring the geometric expansion to the initial price level at the exact moment the defining swing concludes. ( Unscaled formula shown).
Center Point G : Point G, also dynamically calculated from the A-B swing, is used as the origin ( Center =G). It is located at the price level of the swing's endpoint (B) occurring at the time coordinate of the start point (A). This provides the complementary perspective to Point D, anchoring the geometric expansion to the final price level achieved but originating from the moment the swing began . As observed in the example, using Point G typically results in very wide circle projections due to its position relative to the core A-B action. ( Unscaled formula shown).
Center Point I: Half-Duration Projection : Using the dynamically calculated Point I as the Center . Located at Point B's price level but projected forward in time by half the A-B swing duration , Point I's calculated time coordinate often falls outside the initially visible chart area. As the chart progresses, this origin point will appear, revealing large, sweeping arcs representing geometric expansions based on a half-cycle temporal projection from the swing's endpoint price. ( Unscaled formula shown).
Center Point M : Point M, also dynamically calculated from the A-B swing, serves as the origin ( Center =M). It combines the midpoint price level (derived from X) with a time coordinate projected forward from Point B by the full duration of the A-B swing . This perspective anchors the geometric expansion to the swing's balance price level but originates from the completion point of a full temporal cycle relative to the A-B move. Like other projected centers, using M allows for complete circles to be visualized as price progresses into its time zone. ( SilverFib formula shown).
Geometric Validation & Functionality : Comparing the indicator (red lines), using its default settings ( Center X, FibCircle Formula ), against PulseWire's standard Fib Circle tool (green lines/white background). The precise alignment, particularly visible at the 1.50 and 2.00 levels shown, validates the core geometry calculation.
🛠️ CONFIGURATION AND SETTINGS 🛠️
The Fibonacci Circle Zones indicator offers a range of configurable settings to tailor its functionality and visual representation. These options allow customization of the circle origin, scaling method, level visibility, visual appearance, and input points.
Center and Formula
Settings for selecting the circle origin and scaling method.
Center : Dropdown menu to select the origin point for the circles.
Auto : Automatically uses point X (the calculated midpoint between A and B).
Selectable points including start/end (A, B), midpoint (X), plus various points derived from or projected beyond the A-B swing (C-N).
Circle Formula : Dropdown menu to select the mathematical method for scaling circle radii.
Auto : Automatically selects a default formula ('FibCircle' if Center is 'X', 'Unscaled' otherwise).
Includes standard Fibonacci scaling ( FibCircle, GoldenFib ), other mathematical constants ( PiScaled, eScaled ), metallic means ( SilverRatio ), phi transformations ( PhiDecay, PhiSquared ), and others.
Fib Levels
Configuration options for the 12 individual Fibonacci levels.
Advanced Settings
Settings related to core calculation methods.
Radius Calc : Defines how the base radius is calculated (e.g., 'Auto' for vertical price range, 'Geometric' for diagonal price-time distance).
Chart Scale : Aligns circle calculations with the chart's vertical axis setting ('Standard' or 'Logarithmic') for accurate visual proportions.
Visual Settings
Settings controlling the visual display of the indicator elements.
Plots : Dropdown controlling which parts of the calculated circles are displayed ( Upper , All , or Lower ).
Labels : Dropdown controlling the display of the numerical level value labels ( All , Left , Right , or None ).
Setup : Dropdown controlling the visibility of the initial setup graphics ( Show or Hide ).
Info : Dropdown controlling the visibility of the small information table ( Show or Hide ).
Text Size : Adjusts the font size for all text elements displayed by the indicator (Value ranges from 0 to 36).
Line Width : Adjusts the width of the circle plots (1-10).
Time/Price
Inputs for the anchor points defining the base swing.
These settings define the start (Point A) and end (Point B) of the price swing used for all calculations.
Point A (Time, Price) : Input fields for the exact time coordinate and price level of the swing's starting point (A).
Point B (Time, Price) : Input fields for the exact time coordinate and price level of the swing's ending point (B).
Interactive Adjustment : Points A and B can typically be adjusted directly by clicking and dragging their markers on the chart (if 'Setup' is set to 'Show'). Changes update settings automatically.
📝 NOTES 📝
Fibonacci circles begin plotting only once the time corresponding to Point B has passed and is confirmed on the chart. While potential center locations might be visible earlier (as shown in the setup graphic), the final circle calculations require the complete geometry of the A-B swing. This approach ensures that as new price bars form, the circles are accurately rendered based on the finalized A-B relationship and the chosen center and scaling.
The indicator's calculations are anchored to user-defined start (A) and end (B) points on the chart. When switching between charts with significantly different price scales (e.g., from an index at 5,000 to a crypto asset at $0.50), it is typically necessary to adjust these anchor points to ensure the circle elements are correctly positioned and scaled.
⚠️ DISCLAIMER ⚠️
The Fibonacci Circle Zones indicator is a visual analysis tool designed to illustrate Fibonacci relationships through geometric constructions incorporating curved lines, providing a structured framework for identifying potential areas of price interaction. Like all technical and visual indicators, these visual representations may visually align with key price zones in hindsight, reflecting observed price dynamics. It is not intended as a predictive or standalone trading signal indicator.
The indicator calculates levels and projections using user-defined anchor points and Fibonacci ratios. While it aims to align with PulseWire’s standard Fibonacci circle tool by employing mathematical and geometric formulas, no guarantee is made that its calculations are identical to PulseWire's proprietary methods.
🧠 BEYOND THE CODE 🧠
The Fibonacci Circle Zones indicator, like other xxattaxx indicators , is designed with education and community collaboration in mind. Its open-source nature encourages exploration, experimentation, and the development of new Fibonacci and grid calculation indicators and tools. We hope this indicator serves as a framework and a starting point for future Innovation and discussions. Indicator
Fibonacci Time-Price Zones🟩 Fibonacci Time-Price Zones is a chart visualization tool that combines Fibonacci ratios with time-based and price-based geometry to analyze market behavior. Unlike typical Fibonacci indicators that focus solely on horizontal price levels, this indicator incorporates time into the analysis, providing a more dynamic perspective on price action.
The indicator offers multiple ways to visualize Fibonacci relationships. Drawing segmented circles creates a unique perspective on price action by incorporating time into the analysis. These segmented circles, similar to PulseWire's built-in Fibonacci Circles, are derived from Fibonacci time and price levels, allowing traders to identify potential turning points based on the dynamic interaction between price and time.
As another distinct visualization method, the indicator incorporates orthogonal patterns, created by the intersection of horizontal and vertical Fibonacci levels. These intersections form L-shaped connections on the chart, derived from key Fibonacci price and time intervals, highlighting potential areas of support or resistance at specific points in time.
In addition to these geometric approaches, another option is sloped lines, which project Fibonacci levels that account for both time and price along the trendline. These projections derive their angles from the interplay between Fibonacci price levels and Fibonacci time intervals, creating dynamic zones on the chart. The slope of these lines reflects the direction and angle of the trend, providing a visual representation of price alignment with market direction, while maintaining the time-price relationship unique to this indicator
The indicator also includes horizontal Fibonacci levels similar to traditional retracement and extension tools. However, unlike standard tools, traders can display retracement levels, extension levels, or both simultaneously from a single instance of the indicator. These horizontal levels maintain consistency with the chosen visualization method, automatically scaling and adapting whether used with circles, orthogonal patterns, or slope-based analysis.
By combining these distinct methods—circles, orthogonal patterns, sloped projections, and horizontal levels—the indicator provides a comprehensive approach to Fibonacci analysis based on both time and price relationships. Each visualization method offers a unique perspective on market structure while maintaining the core principle of time-price interaction.
⭕ THEORY AND CONCEPT ⭕
While traditional Fibonacci tools excel at identifying potential support and resistance levels through price-based ratios (0.236, 0.382, 0.618), they do not incorporate the dimension of time in market analysis. Extensions and retracements effectively measure price relationships within trends, yet markets move through both price and time dimensions simultaneously.
Fibonacci circles represent an evolution in technical analysis by incorporating time intervals alongside price levels. Based on the mathematical principle that markets often move in circular patterns proportional to Fibonacci ratios, these circles project potential support and resistance zones as partial circles radiating from significant price points. However, traditional circle-based tools can create visual complexity that obscures key market relationships. The integration of time into Fibonacci analysis reveals how price movements often respect both temporal and price-based ratios, suggesting a deeper geometric structure to market behavior.
The Fibonacci Time-Price Zones indicator advances these concepts by providing multiple geometric approaches to visualize time-price relationships. Each shape option—circles, orthogonal patterns, slopes, and horizontal levels—represents a different mathematical perspective on how Fibonacci ratios manifest across both dimensions. This multi-faceted approach allows traders to observe how price responds to Fibonacci-based zones that account for both time and price movements, potentially revealing market structure that purely price-based tools might miss.
Shape Options
The indicator employs four distinct geometric approaches to analyze Fibonacci relationships across time and price dimensions:
Circular : Represents the cyclical nature of market movements through partial circles, where each radius is scaled by Fibonacci ratios incorporating both time and price components. This geometry suggests market movements may follow proportional circular paths from significant pivot points, reflecting the harmonic relationship between time and price.
Orthogonal : Constructs L-shaped patterns that separate the time and price components of Fibonacci relationships. The horizontal component represents price levels, while the vertical component measures time intervals, allowing analysis of how these dimensions interact independently at key market points.
Sloped : Projects Fibonacci levels along the prevailing trend, incorporating both time and price in the angle of projection. This approach suggests that support and resistance levels may maintain their relationship to price while adjusting to the temporal flow of the market.
Horizontal : Provides traditional static Fibonacci levels that serve as a reference point for comparing price-only analysis with the dynamic time-price relationships shown in the other three shapes. This baseline approach allows traders to evaluate how the incorporation of time dimension enhances or modifies traditional Fibonacci analysis.
By combining these geometric approaches, the Fibonacci Time-Price Zones indicator creates a comprehensive analytical framework that bridges traditional and advanced Fibonacci analysis. The horizontal levels serve as familiar reference points, while the dynamic elements—circular, orthogonal, and sloped projections—reveal how price action responds to temporal relationships. This multi-dimensional approach enables traders to study market structure through various geometric lenses, providing deeper insights into time-price symmetry within technical analysis. Whether applied to retracements, extensions, or trend analysis, the indicator offers a structured methodology for understanding how markets move through both price and time dimensions.
🛠️ CONFIGURATION AND SETTINGS 🛠️
The Fibonacci Time-Price Zones indicator offers a range of configurable settings to tailor its functionality and visual representation to your specific analysis needs. These options allow you to customize zone visibility, structures, horizontal lines, and other features.
Important Note: The indicator's calculations are anchored to user-defined start and end points on the chart. When switching between charts with significantly different price scales (e.g., from Bitcoin at $100,000 to Silver at $30), adjustment of these anchor points is required to ensure correct positioning of the Fibonacci elements.
Fibonacci Levels
The indicator allows users to customize Fibonacci levels for both retracement and extension analysis. Each level can be individually configured with the following options:
Visibility : Toggle the visibility of each level to focus on specific areas of interest.
Level Value : Set the Fibonacci ratio for the level, such as 0.618 or 1.000, to align with your analysis needs.
Color : Customize the color of each level for better visual clarity.
Line Thickness : Adjust the line thickness to emphasize critical levels or maintain a cleaner chart.
Setup
Zone Type : Select which Fibonacci zones to display:
- Retracement : Shows potential pull back levels within the trend
- Extension : Projects levels beyond the trend for potential continuation targets
- Both : Displays both retracement and extension zones simultaneously
Shape : Choose from four visualization methods:
- Circular : Time-price based semicircles centered on point B
- Orthogonal : L-shaped patterns combining time and price levels
- Sloped : Trend-aligned projections of Fibonacci levels
- Horizontal : Traditional horizontal Fibonacci levels
Visual Settings
Fill % : Adjusts the fill intensity of zones:
0% : No fill between levels
100% : Maximum fill between levels
Lines :
Trendline : The base A-B trend with customizable color
Extension : B-C projection line
Retracement : B-D pullback line
Labels :
Points : Show/hide A, B, C, D markers
Levels : Show/hide Fibonacci percentages
Time-Price Points
Set the time and price for the points that define the Fibonacci zones and horizontal levels. These points are defined upon loading the chart. These points can be configured directly in the settings or adjusted interactively on the live chart.
A and B Points : These user-defined time and price points determine the basis for calculating the semicircles and Fibonacci levels. While the settings panel displays their exact values for fine-tuning, the easiest way to modify these points is by dragging them directly on the chart for quick adjustments.
Interactive Adjustments : Any changes made to the points on the chart will automatically synchronize with the settings panel, ensuring consistency and precision.
🖼️ CHART EXAMPLES 🖼️
Fibonacci Time-Price Zones using the 'Circular' Shape option. Note the price interaction at the 0.786 level, which acts as a support zone. Additional points of interest include resistance near the 0.618 level and consolidation around the 0.5 level, highlighting the utility of both horizontal and semicircular Fibonacci projections in identifying key price areas.
Fibonacci Time-Price Zones using the 'Sloped' Shape option. The chart displays price retracing along the sloped Fibonacci levels, with blue arrows highlighting potential support zones at 0.618 and 0.786, and a red arrow indicating potential resistance at the 1.0 level. This visual representation aligns with the prevailing downtrend, suggesting potential selling pressure at the 1.0 Fibonacci level.
Fibonacci Time-Price Zones using the 'Orthogonal' Shape option. The chart demonstrates price action interacting with vertical zones created by the orthogonal lines at the 0.618, 0.786, and 1.0 Fibonacci levels. Blue arrows highlight potential support areas, while red arrows indicate potential resistance areas, revealing how the orthogonal lines can identify distinct points of price interaction.
Fibonacci Time-Price Zones using the 'Circular' Shape option. The chart displays price action in relation to segmented circles emanating from the starting point (point A). The circles represent different Fibonacci ratios (0.382, 0.5, 0.618, 0.786) and their intersections with the price axis create potential zones of support and resistance. This approach offers a visually distinct way to analyze potential turning points based on both price and time.
Fibonacci Time-Price Zones using the 'Sloped' Shape option. The sloped Fibonacci levels (0.786, 0.618, 0.5) create zones of potential support and resistance, with price finding clear interaction within these areas. The ellipses highlight this price action, particularly the support between 0.786 and 0.618, which aligns closely with the trend.
Fibonacci Time-Price Zones using the 'Circular' Shape option. The price action appears to be ‘hugging’ the 0.5 Fibonacci level, suggesting potential resistance. This demonstrates how the circular zones can identify potential turning points and areas of consolidation which might not be seen with linear analysis.
Fibonacci Time-Price Zones using the 'Sloped' Shape option with Point D marker enabled. The chart demonstrates clear price action closely following along the sloped Retracement line until the orthogonal intersection at the 0.618 levels where the trend is broken and price dips throughout the 0.618 to 0.786 horizontal zone. Price jumps back to the retracement slope at the start of the 0.786 horizontal zone and continues to the 1.0 horizontal zone. The aqua-colored retracement line is enabled to further emphasize this retracement slope .
Geometric validation using PulseWire's built-in Fibonacci Circle tool (overlaid). The alignment at the 0.5 and 1.0 levels demonstrates the indicator's consistent approximation of Fibonacci Circles.
Comparison of Fibonacci Time-Price Zones (Shape: Horizontal) with PulseWire's Built-in Retracement and Extension Tools (overlaid): This example demonstrates how the Horizontal structure aligns with PulseWire’s retracement and extension levels, allowing users to integrate multiple tools seamlessly. The Fibonacci circle connects retracement and extension zones, highlighting the potential relationship between past retracements and future extensions.
📐 GEOMETRIC FOUNDATIONS 📐
This indicator integrates circular and straight representations of Fibonacci levels, specifically the Circular , Orthogonal , Sloped , and Horizontal shape options. The geometric principles behind these shapes differ significantly, requiring distinct scaling methods for accurate representation. The Circular shape employs logarithmic scaling with radial expansion, where the distance from a central point determines the level's position, creating partial circles that align with PulseWire's built-in Fibonacci Circle tool. The other three shapes utilize geometric progression scaling for linear extension from a starting point, resulting in straight lines that align with PulseWire's built-in Fibonacci retracement and extension tools. Due to these distinct geometric foundations and scaling methods, perfectly aligning both the partial circles and straight lines simultaneously is mathematically constrained, though any differences are typically visually imperceptible.
The Circular shape's partial circles are calculated and scaled to align with PulseWire's built-in Fibonacci Circles. These circles are plotted from the second swing point onward. This approach ensures consistent and accurate visualization across all market types, including those with gaps or closed sessions, which unlike 24/7 markets, do not have a direct one-to-one correspondence between bar indices and time. To maintain accurate geometric proportions across varying chart scales, the indicator calculates an aspect ratio by normalizing the proportional difference between vertical (price) and horizontal (time) distances of the swing points. This normalization factor ensures geometric shapes maintain their mathematical properties regardless of price scale magnitude or time period span, while maintaining the correct proportions of the geometric constructions at any chart zoom level.
The indicator automatically applies the appropriate scaling factor based on the selected shape option, optimizing either circular proportions and proper radius calculations for each Fibonacci level, or straight-line relationships between Fibonacci levels. These distinct scaling approaches maintain mathematical integrity while preserving the essential characteristics of each geometric representation, ensuring optimal visualization accuracy whether using circular or linear shapes.
⚠️ DISCLAIMER ⚠️
The Fibonacci Time-Price Zones indicator is a visual analysis tool designed to illustrate Fibonacci relationships through geometric constructions incorporating both curved and straight lines, providing a structured framework for identifying potential areas of price interaction. It is not intended as a predictive or standalone trading signal indicator.
The indicator calculates levels and projections using user-defined anchor points and Fibonacci ratios. While it aims to align with PulseWire’s Fibonacci extension, retracement, and circle tools by employing mathematical and geometric formulas, no guarantee is made that its calculations are identical to PulseWire's proprietary methods.
Like all technical and visual indicators, these visual representations may visually align with key price zones in hindsight, reflecting observed price dynamics. However, these visualizations are not standalone signals for trading decisions and should be interpreted as part of a broader analytical approach.
This indicator is intended for educational and analytical purposes, complementing other tools and methods of market analysis. Users are encouraged to integrate it into a comprehensive trading strategy, customizing its settings to suit their specific needs and market conditions.
🧠 BEYOND THE CODE 🧠
The Fibonacci Time-Price Zones indicator is designed to encourage both education and community engagement. By integrating time-sensitive geometry with Fibonacci-based frameworks, it bridges traditional grid-based analysis with dynamic time-price relationships. The inclusion of semicircles, horizontal levels, orthogonal structures, and sloped trends provides users with versatile tools to explore the interaction between price movements and temporal intervals while maintaining clarity and adaptability.
As an open-source tool, the indicator invites exploration, experimentation, and customization. Whether used as a standalone resource or alongside other technical strategies, it serves as a practical and educational framework for understanding market structure and Fibonacci relationships in greater depth.
Your feedback and contributions are essential to refining and enhancing the Fibonacci Time-Price Zones indicator. We look forward to the creative applications, adaptations, and insights this tool inspires within the trading community.
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