マーケットの幾何学的形状 — インジケーターとストラテジー

Symmetrical Geometric Mandala Symmetrical Geometric Mandala Overview The Symmetrical Geometric Mandala is an advanced geometric trading tool that applies phi (φ) harmonic relationships to price-time analysis. This indicator automatically detects swing ranges and constructs a scale-invariant geometric framework based on the square root of phi (√φ), revealing natural support/resistance zones and harmonic price-time balance points. Core Concept Traditional technical analysis often treats price and time as separate dimensions. This indicator harmonizes them using the mathematical constant √φ (approximately 1.272), creating a geometric "squaring" of price and time that remains proportionally consistent across different chart scales. The Mathematics When you select a price range (from swing low to swing high or vice versa), the indicator calculates: PBR (Price-to-Bar Ratio) = Range / Number of Bars Harmonic PBR = PBR × √φ (1.272019649514069) Phi Extension = Range × φ (1.618033988749895) The Harmonic PBR is the critical value - this is the chart scaling factor that creates perfect geometric harmony between price and time for your selected range. Visual Components 1. Horizontal Boundary Lines Two horizontal lines extend from the selected range at a distance of Range × φ (golden ratio extension): Upper line: Extended above the swing high (for uplegs) or swing low (for downlegs) Lower line: Extended below the swing low (for uplegs) or swing high (for downlegs) These lines mark the natural harmonic boundaries of the price movement. 2. Rectangle Diagonal Lines Two diagonal lines that create a "rectangle" effect, connecting: Overlap points on horizontal boundaries to swing extremes These lines go in the opposite direction of the price leg (creating the symmetrical mandala pattern) When extended, they reveal future geometric support/resistance zones 3. Phi Harmonic Circles (Optional) Two precisely calculated circles (drawn as smooth polylines): Circle A: Centered at the first swing extreme (Nodal A) Circle B: Centered at the second swing extreme (Nodal B) Radius = Range × φ, causing them to perfectly touch the horizontal boundary lines These circles visualize the geometric harmony and create a mandala-like pattern that reveals natural price zones. How to Use Step 1: Select Your Range Set the Start Date at your swing low or swing high Set the End Date at the opposite extreme The indicator automatically detects whether it's an upleg or downleg Step 2: Read the Harmonic PBR Check the highlighted yellow row in the table: "PBR × √φ" This is your chart scaling value Step 3: Apply Chart Scaling (Optional) For perfect geometric visualization: Right-click on your chart's price axis Select "Scale price chart only" Enter the PBR × √φ value The geometry will now display in perfect harmonic proportion Step 4: Interpret the Geometry Horizontal lines: Key support/resistance zones at phi extensions Diagonal lines: Dynamic trend channels and future price-time balance points Circle intersections: Natural harmonic turning points Central diamond area: Core price-time equilibrium zone Key Features ✅ Automatic swing detection - identifies upleg/downleg automatically ✅ Scale-invariant geometry - maintains proportions across timeframes ✅ Phi harmonic calculations - based on golden ratio mathematics ✅ Professional color scheme - clean, non-intrusive visuals ✅ Customizable display - toggle circles, lines, and table independently ✅ Smooth circle rendering - adjustable segments (16-360) for optimal smoothness Settings Show Horizontal Boundary Lines: Display phi extension levels Show Rectangle Diagonal Lines: Display the geometric framework Show Phi Harmonic Circles: Display circular geometry (optional) Circle Smoothness: Adjust polyline segments (default: 96) Colors: Fully customizable color scheme for all elements Theory Background This indicator draws inspiration from: W.D. Gann's price-time squaring techniques Bradley Cowan's geometric market analysis Phi/golden ratio harmonic theory Mathematical constants in market structure Unlike traditional Fibonacci retracements, this tool uses √φ instead of φ as the primary scaling constant, creating a unique geometric relationship that "squares" price movement with time passage. Best Practices Use on significant swings - Works best on major swing highs/lows Multiple timeframe analysis - Apply to different timeframes for confluence Combine with other tools - Use alongside support/resistance and trend analysis Respect the geometry - Pay attention when price interacts with geometric elements Chart scaling optional - The geometry works at any scale, but scaling enhances visualization Notes The indicator draws geometry from left to right (from Nodal A to Nodal B) All lines extend infinitely for future projections The table shows real-time calculations for the selected range Date range selection uses confirm dialogs to prevent accidental changes

3D Cube Projection - √3 Diagonal 3D Cube Projection - √3 Diagonal OVERVIEW This indicator implements Bradley F. Cowan's cube projection methodology from his "Four Dimensional Stock Market Structures & Cycles" work. It visualizes a 3D cube projected onto the 2D price-time chart, using the √3 (square root of 3) body diagonal as the primary analytical tool for identifying market structure and potential cycle termination points. METHODOLOGY The cube is constructed by selecting two pivot points (A and E) which form the body diagonal - the longest diagonal running through the cube's interior from one corner to the diagonally opposite corner. According to Cowan's geometric approach: - Point A = Starting pivot (low or high) - Point E = Ending pivot (opposite extreme) - Body Diagonal (A→E) = √3 × cube side length - Face Diagonal (A→C) = √2 × cube side length The script calculates the cube dimensions by: 1. Measuring the total price range from A to E 2. Dividing by √3 to determine the cube side length in price 3. Distributing the time component across three equal segments 4. Projecting the 3D structure onto the 2D chart plane FEATURES ✓ Interactive date selection for points A and E ✓ Automatic UPLEG/DOWNLEG detection ✓ All 8 cube vertices labeled (A-H) ✓ All 6 cube faces with independent color/opacity controls ✓ √3 body diagonal (red line by default) ✓ √2 face diagonal (orange line by default) ✓ Customizable cube lines, fills, and labels ✓ Information table showing key measurements VISUAL CUSTOMIZATION - Front & Back faces: Box fills for the two square faces - Side faces: Left and right vertical faces - Top & Bottom faces: Horizontal connecting faces - Each group has independent color and opacity settings - Label size and transparency fully adjustable - Cube line styles (solid, dashed, dotted) for depth perception IMPORTANT LIMITATIONS & DISCLOSURES This indicator works within the inherent constraints of projecting 3D geometry onto a 2D price-time chart: ⚠️ VISUAL APPROXIMATION: This is a visual projection tool, not a mathematically perfect 3D cube. True 3D geometry cannot be accurately represented on a 2D plane without distortion. ⚠️ TIME DISTRIBUTION: The script divides the time axis into three equal segments (total bars ÷ 3) for practical visualization. This is an approximation that prioritizes visual coherence over strict geometric accuracy. ⚠️ UNIT SCALING: Price and time use different units (dollars vs. bars), making true isometric projection impossible. The cube appears proportional on screen but the dimensions are not directly comparable. ⚠️ 2D CONSTRAINT: We only have X (time) and Y (price) axes available. The Z-axis (depth) is simulated through visual projection techniques (line styles, shading). INTENDED USE This tool is designed for traders and analysts who study Bradley Cowan's geometric market analysis methods. It helps visualize: - Market structure in geometric terms - Potential support/resistance zones at cube edges - Cycle timing relationships using √2 and √3 ratios - Harmonic price-time relationships The cube projection should be used as one component of a comprehensive analysis approach, combined with other technical tools and fundamental analysis. MATHEMATICAL FOUNDATION While the visual representation involves approximations, the core √3 relationship is mathematically sound: - For any cube, the body diagonal = √3 × side length - The face diagonal = √2 × side length - These ratios are preserved in the price dimension calculations HOW TO USE 1. Select your starting date (Point A) - typically a significant low or high 2. Select your ending date (Point E) - the opposite extreme pivot 3. The indicator automatically constructs the cube geometry 4. Analyze the cube edges, diagonals, and faces for market structure insights 5. Adjust colors and opacity to suit your chart aesthetic TECHNICAL NOTES - Works on all timeframes and instruments - Best viewed on charts with sufficient historical data - Cube updates in real-time as new bars form - Range selection is marked with vertical lines and shading - Calculator table shows Point A, Point E, side length, and bar measurements ACKNOWLEDGMENT This indicator is based on the geometric market analysis principles developed by Bradley F. Cowan. Users are encouraged to study Cowan's original works for deeper understanding of the theoretical framework. DISCLAIMER This indicator is for educational and analytical purposes only. It does not constitute financial advice. Past performance does not guarantee future results. Always conduct your own research and risk management before making trading decisions.

Fibonacci 3-D 🟩 The Fibonacci 3-D indicator is a visual tool that introduces a three-dimensional approach to Fibonacci projections, leveraging market geometry. Unlike traditional Fibonacci tools that rely on two points and project horizontal levels, this indicator leverages slopes derived from three points to introduce a dynamic element into the calculations. The Fibonacci 3-D indicator uses three user-defined points to form a triangular structure, enabling multi-dimensional projections based on the relationships between the triangle’s sides. This triangular framework forms the foundation for the indicator’s calculations, with each slope (⌳AB, ⌳AC, and ⌳BC) representing the rate of price change between its respective points. By incorporating these slopes into Fibonacci projections, the indicator provides an alternate approach to identifying potential support and resistance levels. The Fibonacci 3-D expands on traditional methods by integrating both historical price trends and recent momentum, offering deeper insights into market dynamics and aligning with broader market geometry. The indicator operates across three modes, each defined by the triangular framework formed by three user-selected points (A, B, and C): 1-Dimensional (1-D): Fibonacci levels are based on a single side of the triangle, such as AB, AC, or BC. The slope of the selected side determines the angle of the projection, allowing users to analyze linear trends or directional price movements. 2-Dimensional (2-D): Combines two slopes derived from the sides of the triangle, such as AB and BC or AC and BC. This mode adds depth to the projections, accounting for both historical price swings and recent market momentum. 3-Dimensional (3-D): Integrates all three slopes into a unified projection. This mode captures the full geometric relationship between the points, revealing a comprehensive view of geometric market structure. 🌀 THEORY & CONCEPT 🌀 The Fibonacci 3-D indicator builds on the foundational principles of traditional Fibonacci analysis while expanding its scope to capture more intricate market structures. At its core, the indicator operates based on three user-selected points (A, B, and C), forming the vertices of a triangle that provides the structural basis for all calculations. This triangle determines the slopes, projections, and Fibonacci levels, aligning with the unique geometric relationships between the chosen points. By introducing multiple dimensions and leveraging this triangular framework, the indicator enables a deeper examination of price movements. 1️⃣ First Dimension (1-D) In technical analysis, traditional Fibonacci retracement and extension tools operate as one-dimensional instruments. They rely on two price points, often a swing high and a swing low, to calculate and project horizontal levels at predefined Fibonacci ratios. These levels identify potential support and resistance zones based solely on the price difference between the selected points. A one-dimensional Fibonacci showing levels derived from two price points (B and C). The Fibonacci 3-D indicator extends this one-dimensional concept by introducing Ascending and Descending projection options. These options calculate the levels to align with the directional movement of price, creating sloped projections instead of purely horizontal levels. 1-D mode with an ascending projection along the ⌳BC slope aligned to the market's slope. Potential support is observed at 0.236 and 0.382, while resistance appears at 1.0 and 0.5. 2️⃣ Second Dimension (2-D) The second dimension incorporates a second side of the triangle, introducing relationships between two slopes (e.g., ⌳AB and ⌳BC) to form a more dynamic three-point structure (A, B, and C) on the chart. This structure enables the indicator to move beyond the single-axis (price) calculations of traditional Fibonacci tools. The sides of the triangle (AB, AC, BC) represent slopes calculated as the rate of price change over time, capturing distinct components of market movement, such as trend direction and momentum. 2-D mode of the Fibonacci 3-D indicator using the ⌳AC slope with a descending projection. The Fibonacci projections align closely with observed market behavior, providing support at 0.236 and resistance at 0.618. Unlike traditional zigzag setups, this configuration uses two swing highs (A and B) and a swing low (C). The alignment along the descending slope highlights the geometric relationships between selected points in identifying potential support and resistance levels. 3️⃣ Third Dimension (3-D) The third dimension expands the analysis by integrating all three slopes into a unified calculation, encompassing the entire triangle structure formed by points A, B, and C. Unlike the second dimension, which analyzes pairwise slope relationships, the 3-D mode reflects the combined geometry of the triangle. Each slope contributes a distinct perspective: AB and AC provide historical context, while BC emphasizes the most recent price movement and is given greater weight in the calculations to ensure projections remain responsive to current dynamics. Using this integrated framework, the 3-D mode dynamically adjusts Fibonacci projections to balance long-term patterns and short-term momentum. The projections extend outward in alignment with the triangle’s geometry, offering a comprehensive framework for identifying potential support and resistance zones and capturing market structures beyond the scope of simpler 1-D or 2-D modes. Three-dimensional Fibonacci projection using the ⌳AC slope, aligning closely with the market's directional movement. The projection highlights key levels: resistance at 0.0 and 0.618, and support at 1.0, 0.786, and 0.382. By leveraging all three slopes simultaneously, the 3-D mode introduces a level of complexity particularly suited for volatile or non-linear markets. The weighted slope calculations ensure no single price movement dominates the analysis, allowing the projections to adapt dynamically to the broader market structure while remaining sensitive to recent momentum. Three-dimensional ascending projection. In 3D mode, the indicator integrates all three slopes to calculate the angle of projection for the Fibonacci levels. The resulting projections adapt dynamically to the overall geometry of the ABC structure, aligning with the market’s current direction. 🔂 Interactions: Dimensions. Slope Source, Projections, and Orientation The Dimensions , Projections , and Orientation settings work together to define Fibonacci projections within the triangular framework. Each setting plays a specific role in the geometric analysis of price movements. ♾️ Dimension determines which of the three modes (1-D, 2-D, or 3-D) is used for Fibonacci projections. In 1-D mode, the projections are based on a single side of the triangle, such as AB, AC, or BC. In 2-D mode, two sides are combined, producing levels based on their geometric relationship. The 3-D mode integrates all three sides of the triangle, calculating projections using weighted averages that emphasize the BC side for its relevance to recent price movement while maintaining historical context from the AB and AC sides. A one-dimensional Fibonacci projection using the ⌳AB slope with a neutral projection. Important levels of interaction are highlighted: repeated resistance at Level 1.0 and repeated support at Levels 0.5 and 0.618. The projection aligns horizontally, reflecting the relationship between points A, B, and C while identifying recurring zones of market structure. 🧮 Slope Source determines which side of the triangle (AB, AC, or BC) serves as the foundation for Fibonacci projections. This selection directly impacts the calculations by specifying the slope that anchors the geometric relationships within the chosen Dimension mode (1-D, 2-D, or 3-D). In 1-D mode, the selected Source defines the single side used for the projection. In 2-D and 3-D modes, the Source works in conjunction with other settings to refine projections by integrating the selected slope into the multi-dimensional framework. One-dimensional Fibonacci projection using the ⌳AC Slope Source and Ascending projection. The projection continues on the AC slope line. 🎯 Projection controls the direction and alignment of Fibonacci levels. Neutral projections produce horizontal levels, similar to traditional Fibonacci tools. Ascending and Descending projections adjust the levels along the calculated slope to reflect market trends. These options allow the indicator’s outputs to align with different market behaviors. An ascending projection along the ⌳BC slope aligns with resistance levels at 1.0, 0.618, and 0.236. The geometric relationship between points A, B, and C illustrates how the projection adapts to market structure, identifying resistance zones that may not be captured by traditional Fibonacci tools. 🧭 Orientation modifies the alignment of the setup area defined by points A, B, and C, which influences Fibonacci projections in 2-D and 3-D modes. In Default mode, the triangle aligns naturally based on the relative positions of points B and C. In Inverted mode, the geometric orientation of the setup area is reversed, altering the slope calculations while preserving the projection direction specified in the Projection setting. In 1-D mode, Orientation has no effect since only one side is used for the projection. Adjusting the Orientation setting provides alternative views of how Fibonacci levels align with the market's structure. By recalibrating the triangle’s setup, the inverted orientation can highlight different relationships between the sides, providing additional perspectives on support and resistance zones. 2-D inverted. The ⌳AC slope defines the projection, and the inverted orientation adjusts the alignment of the setup area, altering the angles used in level calculations. Key levels are highlighted: resistance at 0.786, strong support at 0.5 and 0.236, and a resistance-turned-support interaction at 0.618. 🛠️ CONFIGURATION AND SETTINGS 🛠️ The Fibonacci 3-D indicator includes configurable settings to adjust its functionality and visual representation. These options include customization of the dimensions (1-D, 2-D, or 3-D), slope calculations, orientations, projections, Fibonacci levels, and visual elements. When adding the indicator to a new chart, select three reference points (A, B, and C). These are usually set to recent swing points. All three points can be easily changed at any time by clicking on the reference point and dragging it to a new location. By default, all settings are set to Auto . The indicator uses an internal algorithm to estimate the projections based on the orientation and relative positions of the reference points. However, all values can be overridden to reflect the user's interpretation of the current market geometry. ⚙️ Core Settings Dimensions : Defines how many sides of the triangle formed by points A, B, and C are incorporated into the calculations for Fibonacci projections. This setting determines the level of complexity and detail in the analysis. 1-D : Projects levels along the angle of a single user-selected side of the triangle. 2-D : Projects levels based on a composite slope derived from the angles of two sides of the triangle. 3-D : Projects levels based on a composite slope derived from all three sides of the triangle (A-B, A-C, and B-C), providing a multi-dimensional projection that adapts to both historical and recent market movements. Slope Source : Determines which side of the triangle is used as the basis for slope calculations. A–B: The slope between points A and B. In 1-D mode, this determines the projection. In 2-D and 3-D modes, it contributes to the composite slope calculation. A–C: The slope between points A and C. In 1-D mode, this determines the projection. In 2-D and 3-D modes, it contributes to the composite slope calculation. B--C: The slope between points B and C. In 1-D mode, this determines the projection. In 2-D and 3-D modes, it contributes to the composite slope calculation. Orientation : Defines the triangle's orientation formed by points A, B, and C, influencing slope calculations. Auto : Automatically determines orientation based on the relative positions of points B and C. If point C is to the right of point B, the orientation is "normal." If point C is to the left, the orientation is inverted. Inverted : Reverses the orientation set in "Auto" mode. This flips the triangle, reversing slope calculations ⌳AB becomes ⌳BA). Projection : Determines the direction of Fibonacci projections: Auto : Automatically determines projection direction based on the triangle formed by A, B, and C. Ascending : Projects the levels upward. Neutral : Projects the levels horizontally, similar to traditional Fibonacci retracements. Descending : Projects the levels downward. ⚙️ Fibonacci Level Settings Show or hide specific levels. Level Value : Adjust Fibonacci ratios for each level. The 0.0 and 1.0 levels are fixed. Color : Set level colors. ⚙️ Visibility Settings Show Setup : Toggle the display of the setup area, which includes the projected lines used in calculations. Show Triangle : Toggle the display of the triangle formed by points A, B, and C. Triangle Color : Set triangle line colors. Show Point Labels : Toggle the display of labels for points A, B, and C. Show Left/Right Labels : Toggle price labels on the left and right sides of the chart. Fill % : Adjust the fill intensity between Fibonacci levels (0% for no fill, 100% for full fill). Info : Set the location or hide the Slope Source and Dimension. If Orientation is Inverted , the Slope Source will display with an asterisk (*). ⚙️ Time-Price Points : Set the time and price for points A, B, and C, which define the Fibonacci projections. A, B, and C Points : User-defined time and price coordinates that form the foundation of the indicator's calculations. Interactive Adjustments : Changes made to points on the chart automatically synchronize with the settings panel and update projections in real time. Notes Unlike traditional Fibonacci tools that include extensions beyond 1.0 (e.g., 1.618 or 2.618), the Fibonacci 3-D indicator restricts Fibonacci levels to the range between 0.0 and 1.0. This is because the projections are tied directly to the proportional relationships along the sides of the triangle formed by points A, B, and C, rather than extending beyond its defined structure. The indicator's calculations dynamically sort the user-defined A, B, and C points by time, ensuring point A is always the earliest, point C the latest, and point B the middle. This automatic sorting allows users to freely adjust the points directly on the chart without concern for their sequence, maintaining consistency in the triangular structure. 🖼️ ADDITIONAL CHART EXAMPLES 🖼️ Three-dimensional ⌳AC slope is used with an ascending projection, even as the broader market trend moves downward. Despite the apparent contradiction, the projected Fibonacci levels align closely with price action, identifying zones of support and resistance. These levels highlight smaller countertrend movements, such as pullbacks to 0.382 and 0.236, followed by continuations at resistance levels like 0.618 and 0.786. In 2-D mode, an ascending projection based on the BC slope highlights the market's geometric structure. A setup triangle, defined by a swing high (A), a swing low (B), and another swing high (C), reveals Fibonacci projections aligning with support at 0.236, 0.382, and 0.5, and resistance at 0.618, 0.786, and 1.0, as shown by the green and red arrows. This demonstrates the ability to uncover dynamic support and resistance levels not calculated in traditional Fibonacci tools. In 2-D mode with an ascending projection from the ⌳AB slope, price movement is contained within the 0.5 and 0.786 levels. The 0.5 level serves as support, while the 0.786 level acts as resistance, with price action consistently interacting with these boundaries. An AC (2-D) ascending projection is derived from two swing highs (A and B) and a swing low (C), reflecting a non-linear market structure that deviates from traditional zigzag patterns. The ascending projection aligns closely with the market's upward trajectory, forming a channel between the 0.0 and 0.5 Fibonacci levels. Note how price action interacts with the projected levels, showing support at 0.236 and 0.382, with the 0.5 level acting as a mid-channel equilibrium. Two-dimensional ascending Fibonacci projection using the ⌳AC slope. Arrows highlight resistance at 0.786 and support at 0.0 and 0.236. The projection follows the ⌳AC slope, reflecting the geometric relationship between points A, B, and C to identify these levels. Three-dimensional Fibonacci projection using the ⌳AC slope, aligned with the actual market's directional trend. By removing additional Fibonacci levels, the image emphasizes key areas: resistance at Level 0.0 and support at Levels 1.0 and 0.5. The projection dynamically follows the ⌳AC slope, adapting to the market's structure as defined by points A, B, and C. A three-dimensional configuration uses the ⌳AB slope as the baseline for projections while incorporating the geometric influence of point C. Only the 0.0 and 0.618 levels are enabled, emphasizing the relationship between support at 0.0 and resistance at 0.618. Unlike traditional Fibonacci tools, which operate in a single plane, this setup reveals levels that rely on the triangular relationship between points A, B, and C. The third dimension allows for projections that align more closely with the market’s structure and reflect its multi-dimensional geometry. The Fibonacci 3-D indicator can adapt to non-traditional point selection. Point A serves as a swing low, while points B and C are swing highs, forming an unconventional configuration. ⌳The BC slope is used in 2-D mode with an inverted orientation, flipping the projection direction and revealing resistance at Level 0.786 and support at Levels 0.618 and 0.5. ⚠️ DISCLAIMER ⚠️ The Fibonacci 3-D indicator is a visual analysis tool designed to illustrate Fibonacci relationships. While the indicator employs precise mathematical and geometric formulas, no guarantee is made that its calculations will align with other Fibonacci tools or proprietary methods. Like all technical and visual indicators, the Fibonacci projections generated by this tool may appear to visually align with key price zones in hindsight. However, these projections are not intended as standalone signals for trading decisions. This indicator is intended for educational and analytical purposes, complementing other tools and methods of market analysis. 🧠 BEYOND THE CODE 🧠 The Fibonacci 3-D indicator, like other xxattaxx indicators , is designed to encourage both education and community engagement. Your feedback and insights are invaluable to refining and enhancing the Fibonacci 3-D indicator. We look forward to the creative applications, adaptations, and observations this tool inspires within the trading community.

Parallel Projections [theEccentricTrader]█ OVERVIEW This indicator automatically projects parallel trendlines or channels, from a single point of origin. In the example above I have applied the indicator twice to the 1D SPXUSD. The five upper lines (green) are projected at an angle of -5 from the 1-month swing high anchor point with a projection ratio of -72. And the seven lower lines (blue) are projected at an angle of 10 with a projection ratio of 36 from the 1-week swing low anchor point. █ CONCEPTS Green and Red Candles • A green candle is one that closes with a high price equal to or above the price it opened. • A red candle is one that closes with a low price that is lower than the price it opened. Swing Highs and Swing Lows • A swing high is a green candle or series of consecutive green candles followed by a single red candle to complete the swing and form the peak. • A swing low is a red candle or series of consecutive red candles followed by a single green candle to complete the swing and form the trough. Peak and Trough Prices (Basic) • The peak price of a complete swing high is the high price of either the red candle that completes the swing high or the high price of the preceding green candle, depending on which is higher. • The trough price of a complete swing low is the low price of either the green candle that completes the swing low or the low price of the preceding red candle, depending on which is lower. Historic Peaks and Troughs The current, or most recent, peak and trough occurrences are referred to as occurrence zero. Previous peak and trough occurrences are referred to as historic and ordered numerically from right to left, with the most recent historic peak and trough occurrences being occurrence one. Support and Resistance • Support refers to a price level where the demand for an asset is strong enough to prevent the price from falling further. • Resistance refers to a price level where the supply of an asset is strong enough to prevent the price from rising further. Support and resistance levels are important because they can help traders identify where the price of an asset might pause or reverse its direction, offering potential entry and exit points. For example, a trader might look to buy an asset when it approaches a support level , with the expectation that the price will bounce back up. Alternatively, a trader might look to sell an asset when it approaches a resistance level , with the expectation that the price will drop back down. It's important to note that support and resistance levels are not always relevant, and the price of an asset can also break through these levels and continue moving in the same direction. Trendlines Trendlines are straight lines that are drawn between two or more points on a price chart. These lines are used as dynamic support and resistance levels for making strategic decisions and predictions about future price movements. For example traders will look for price movements along, and reactions to, trendlines in the form of rejections or breakouts/downs. █ FEATURES Inputs • Anchor Point Type • Swing High/Low Occurrence • HTF Resolution • Highest High/Lowest Low Lookback • Angle Degree • Projection Ratio • Number Lines • Line Color Anchor Point Types • Swing High • Swing Low • Swing High (HTF) • Swing Low (HTF) • Highest High • Lowest Low • Intraday Highest High (intraday charts only) • Intraday Lowest Low (intraday charts only) Swing High/Swing Low Occurrence This input is used to determine which historic peak or trough to reference for swing high or swing low anchor point types. HTF Resolution This input is used to determine which higher timeframe to reference for swing high (HTF) or swing low (HTF) anchor point types. Highest High/Lowest Low Lookback This input is used to determine the lookback length for highest high or lowest low anchor point types. Intraday Highest High/Lowest Low Lookback When using intraday highest high or lowest low anchor point types, the lookback length is calculated automatically based on number of bars since the daily candle opened. Angle Degree This input is used to determine the angle of the trendlines. The output is expressed in terms of point or pips, depending on the symbol type, which is then passed through the built in math.todegrees() function. Positive numbers will project the lines upwards while negative numbers will project the lines downwards. Depending on the market and timeframe, the impact input values will have on the visible gaps between the lines will vary greatly. For example, an input of 10 will have a far greater impact on the gaps between the lines when viewed from the 1-minute timeframe than it would on the 1-day timeframe. The input is a float and as such the value passed through can go into as many decimal places as the user requires. It is also worth mentioning that as more lines are added the gaps between the lines, that are closest to the anchor point, will get tighter as they make their way up the y-axis. Although the gaps between the lines will stay constant at the x2 plot, i.e. a distance of 10 points between them, they will gradually get tighter and tighter at the point of origin as the slope of the lines get steeper. Projection Ratio This input is used to determine the distance between the parallels, expressed in terms of point or pips. Positive numbers will project the lines upwards while negative numbers will project the lines downwards. Depending on the market and timeframe, the impact input values will have on the visible gaps between the lines will vary greatly. For example, an input of 10 will have a far greater impact on the gaps between the lines when viewed from the 1-minute timeframe than it would on the 1-day timeframe. The input is a float and as such the value passed through can go into as many decimal places as the user requires. Number Lines This input is used to determine the number of lines to be drawn on the chart, maximum is 500. █ LIMITATIONS All green and red candle calculations are based on differences between open and close prices, as such I have made no attempt to account for green candles that gap lower and close below the close price of the preceding candle, or red candles that gap higher and close above the close price of the preceding candle. This may cause some unexpected behaviour on some markets and timeframes. I can only recommend using 24-hour markets, if and where possible, as there are far fewer gaps and, generally, more data to work with. If the lines do not draw or you see a study error saying that the script references too many candles in history, this is most likely because the higher timeframe anchor point is not present on the current timeframe. This problem usually occurs when referencing a higher timeframe, such as the 1-month, from a much lower timeframe, such as the 1-minute. How far you can lookback for higher timeframe anchor points on the current timeframe will also be limited by your Trading View subscription plan. Premium users get 20,000 candles worth of data, pro+ and pro users get 10,000, and basic users get 5,000. █ RAMBLINGS It is my current thesis that the indicator will work best when used in conjunction with my Wavemeter indicator, which can be used to set the angle and projection ratio. For example, the average wave height or amplitude could be used as the value for the angle and projection ratio inputs. Or some factor or multiple of such an average. I think this makes sense as it allows for objectivity when applying the indicator across different markets and timeframes with different energies and vibrations. “If you want to find the secrets of the universe, think in terms of energy, frequency and vibration.” ― Nikola Tesla

Fan Projections [theEccentricTrader]█ OVERVIEW This indicator automatically projects trendlines in the shape of a fan, from a single point of origin. In the example above I have applied the indicator twice to the 1D SPXUSD. The seven upper lines (green) are projected at an angle of -5 from the 1-month swing high anchor point. And the five lower lines (blue) are projected at an angle of 10 from the 1-week swing low anchor point. █ CONCEPTS Green and Red Candles • A green candle is one that closes with a high price equal to or above the price it opened. • A red candle is one that closes with a low price that is lower than the price it opened. Swing Highs and Swing Lows • A swing high is a green candle or series of consecutive green candles followed by a single red candle to complete the swing and form the peak. • A swing low is a red candle or series of consecutive red candles followed by a single green candle to complete the swing and form the trough. Peak and Trough Prices (Basic) • The peak price of a complete swing high is the high price of either the red candle that completes the swing high or the high price of the preceding green candle, depending on which is higher. • The trough price of a complete swing low is the low price of either the green candle that completes the swing low or the low price of the preceding red candle, depending on which is lower. Historic Peaks and Troughs The current, or most recent, peak and trough occurrences are referred to as occurrence zero. Previous peak and trough occurrences are referred to as historic and ordered numerically from right to left, with the most recent historic peak and trough occurrences being occurrence one. Support and Resistance • Support refers to a price level where the demand for an asset is strong enough to prevent the price from falling further. • Resistance refers to a price level where the supply of an asset is strong enough to prevent the price from rising further. Support and resistance levels are important because they can help traders identify where the price of an asset might pause or reverse its direction, offering potential entry and exit points. For example, a trader might look to buy an asset when it approaches a support level , with the expectation that the price will bounce back up. Alternatively, a trader might look to sell an asset when it approaches a resistance level , with the expectation that the price will drop back down. It's important to note that support and resistance levels are not always relevant, and the price of an asset can also break through these levels and continue moving in the same direction. Trendlines Trendlines are straight lines that are drawn between two or more points on a price chart. These lines are used as dynamic support and resistance levels for making strategic decisions and predictions about future price movements. For example traders will look for price movements along, and reactions to, trendlines in the form of rejections or breakouts/downs. █ FEATURES Inputs • Anchor Point Type • Swing High/Low Occurrence • HTF Resolution • Highest High/Lowest Low Lookback • Angle Degree • Number Lines • Line Color Anchor Point Types • Swing High • Swing Low • Swing High (HTF) • Swing Low (HTF) • Highest High • Lowest Low • Intraday Highest High (intraday charts only) • Intraday Lowest Low (intraday charts only) Swing High/Swing Low Occurrence This input is used to determine which historic peak or trough to reference for swing high or swing low anchor point types. HTF Resolution This input is used to determine which higher timeframe to reference for swing high (HTF) or swing low (HTF) anchor point types. Highest High/Lowest Low Lookback This input is used to determine the lookback length for highest high or lowest low anchor point types. Intraday Highest High/Lowest Low Lookback When using intraday highest high or lowest low anchor point types, the lookback length is calculated automatically based on number of bars since the daily candle opened. Angle Degree This input is used to determine the angle of the trendlines. The output is expressed in terms of point or pips, depending on the symbol type, which is then passed through the built in math.todegrees() function. Positive numbers will project the lines upwards while negative numbers will project the lines downwards. Depending on the market and timeframe, the impact input values will have on the visible gaps between the lines will vary greatly. For example, an input of 10 will have a far greater impact on the gaps between the lines when viewed from the 1-minute timeframe than it would on the 1-day timeframe. The input is a float and as such the value passed through can go into as many decimal places as the user requires. It is also worth mentioning that as more lines are added the gaps between the lines, that are closest to the anchor point, will get tighter as they make their way up the y-axis. Although the gaps between the lines will stay constant at the x2 plot, i.e. a distance of 10 points between them, they will gradually get tighter and tighter at the point of origin as the slope of the lines get steeper. Number Lines This input is used to determine the number of lines to be drawn on the chart, maximum is 500. █ LIMITATIONS All green and red candle calculations are based on differences between open and close prices, as such I have made no attempt to account for green candles that gap lower and close below the close price of the preceding candle, or red candles that gap higher and close above the close price of the preceding candle. This may cause some unexpected behaviour on some markets and timeframes. I can only recommend using 24-hour markets, if and where possible, as there are far fewer gaps and, generally, more data to work with. If the lines do not draw or you see a study error saying that the script references too many candles in history, this is most likely because the higher timeframe anchor point is not present on the current timeframe. This problem usually occurs when referencing a higher timeframe, such as the 1-month, from a much lower timeframe, such as the 1-minute. How far you can lookback for higher timeframe anchor points on the current timeframe will also be limited by your Trading View subscription plan. Premium users get 20,000 candles worth of data, pro+ and pro users get 10,000, and basic users get 5,000. █ RAMBLINGS It is my current thesis that the indicator will work best when used in conjunction with my Wavemeter indicator, which can be used to set the angle. For example, the average wave height or amplitude could be used as the value for the angle input. Or some factor or multiple of such an average. I think this makes sense as it allows for objectivity when applying the indicator across different markets and timeframes with different energies and vibrations. “If you want to find the secrets of the universe, think in terms of energy, frequency and vibration.” ― Nikola Tesla

Function Square Wave This is a script to draw a square wave on the chart, with an indicator for current price. Markets undergoing Dow Jones or Wyckoff Accumulation/Distribution cycles tend to move in such waves, and if the period of the cycles are detected, a signal for accumulation/distribution phases can be created as an early warning. Useful inputs: - Average True Range as the wave height. - Assumed Wave period as the wave duration. I divided the current price wave by 2 to make the indicator more visually friendly. GLHF - DPT

Grid System This script plots a a square composed of 8 equilateral triangles ("grid"). User can set the frequency of calculation/interval by adjusting the 't' parameter. Steps for calculating grid: 1. Find the highest high and lowest low for last 't' periods. 2. Calculate midpoint for prices during that interval (highest high + lowest low) / 2. 3. Center of the grid = {time , price midpoint}. Interpretation: Volatility : If price is volatile for a given period, the area of the grid will expand, since the top and bottom sides are based on the highest high and lowest low for the period. So as range for a given period increases, the grid's area increases. Support and resistance : The grid's center line often acts as the support / resistance line. Trend Following : The example chart shows Cognex (CGNX) price using an interval of t=365. When the stock's trend was bullish, the area of the grids became increasingly larger and the y-coordinate of each grid was greater than that of the previous grid.

[JRL] Murrey Math Lines Murrey Math Lines are support and resistance lines based on geometric mathematical formulas developed by T. H. Murrey. MM lines are a derivation of the observations of W.D. Gann. Murrey's geometry facilitate the use of Gann's theories in a somewhat easier application. According to Gann's theory, price tends to trend and retrace in 1/8th intervals. The most important MM line levels are the 0/8, 4/8 and 8/8 levels, which typically provide strong support and resistance points. The 3/8 and 5/8 levels represent the low and high of the typical trading range. When price is above the typical trading range, it is considered overbought, and when it is below it is considered oversold. The 2/8 and 6/8 levels provide strong pivot points. Some of the other Murrey Math indicators on TradingView use different formulas and therefore produce varying results. I've checked my indicator against MM indicators on other platforms and it is consistent with those indicators. This indicator also allows users to switch to alternative timeframes for analysis and it includes labels for the MM lines. If you have any suggestions or comments, please leave them below. Cheers!

[RS]Function - Geometric Line Drawings functions using the new line functions in V4 to draw multiple geometric shapes.