Buy and Sell Signal with VWAP and EMAsBuy and Sell Signal with VWAP and EMAs and also based on candle stick patterns.
Analyse fondamentale
Dukes Cross (RSI-MA Cross + Bollinger Bands Strategy)Key Commitments:
Track Enhancements:
Every modification will be incremental and documented to ensure measurable improvements.
Optimize Profitability:
The current profitability is 60%; the goal is to improve it incrementally.
Maintain Core Logic:
This code’s foundation—based on RSI-MA crosses, Bollinger Bands, SMA trends, and volume confirmation—will remain central to all strategies.
Adapting and Testing:
All changes will be tested in a backtesting environment using Strategy Tester and real-time charts for validation.
Preserve Readability:
Code will remain clean, structured, and modular to facilitate further iterations
Estrategia de Liquidez en Rango (1H)es un indicador de para abrir y cerrar operaciones basado en terminos de liquidez
Ema8-13-20-144 ve Magic trendDosyada önemli olan EMA değerleri dışında Kıvanc hocamıza ait olan Magic Trend de eklenmiştir.
EMA da ozellikle 34 ve 144 değerleri onemlidir. Ema degerlerini istediğiniz gibi deiştirebilirsiniz. Sinyalleri de aktif edebilirsiniz.
Apart from the important EMA values in the file, Magic Trend, which belongs to our Kıvanc teacher, has also been added.
Especially 34 and 144 values are important in EMA. You can change the EMA values as you wish. You can also activate the signals.
(Total3-USDT)-BTCBenjamin Cowen inspired, Total 3 market cap minus USDT and divided by Bitcoin. A good indication of when Alt coins will out perform Bitcoin and vice versa
Crypto Value RainbowThe best way to value Crypto value is comparing Crypto price against the available money supply circulating in the economy. There are 3 different 4 different type of money supply M0/M1/M2/M3 which denotes the level of money printed by central government to the final credit lend out to the economy via fractional banking system. This rainbow valuation measures the relative Crypto price against the M0/M1/M2/M3 from most popular currency that account for more than 75% of money supply in the world.
CV = US MS + EU MS + CN MS + JP MS + UK MS
CV = Crypto Value
MS = Money Supply
This can only be applied to a few crypto currency:
- BTCUSD Bitcoin
- ETHUSD Ehereum
- BNBUSD BNB
- SOLUSD Solana
- XRPUSD XRP
- TONUSD Toncoin
- DOGEUSD Dogecoin
- TRXUSD Tron
- ADAUSD Cardano
- AVAXUSD Avalanche
The rainbow color is the multiplier for the total Crypto Value by 1x,2x,3x,...,10x
Sri Yantra MTF - AynetSri Yantra MTF - Aynet Script Overview
This Pine Script generates a Sri Yantra-inspired geometric pattern overlay on price charts. The pattern is dynamically updated based on multi-timeframe (MTF) inputs, utilizing high and low price ranges, and adjusting its size relative to a chosen multiplier.
The Sri Yantra is a sacred geometric figure used in various spiritual and mathematical contexts, symbolizing the interconnectedness of the universe. Here, it is applied to visualize structured price levels.
Scientific and Technical Explanation
Multi-Timeframe Integration:
Base Timeframe (baseRes): This is the primary timeframe for the analysis. The opening price and ATR (Average True Range) are calculated from this timeframe.
Pattern Timeframe (patternRes): Defines the granularity of the pattern. It ensures synchronization with price movements on specific time intervals.
Geometric Construction:
ATR-Based Scaling: The script uses ATR as a volatility measure to dynamically size the geometric pattern. The sizeMult input scales the pattern relative to price volatility.
Pattern Width (barOffset): Defines the horizontal extent of the pattern in terms of bars. This ensures the pattern is aligned with price movements and scales appropriately.
Sri Yantra-Like Geometry:
Outer Square: A bounding box is drawn around the price level.
Triangles: Multiple layers of triangles (primary, secondary, and tertiary) are calculated and drawn to mimic the structure of the Sri Yantra. These triangles converge and diverge based on price levels.
Horizontal Lines: Added at key levels to provide additional structure and aesthetic alignment.
Dynamic Updates:
The pattern recalculates and redraws itself on the last bar of the selected timeframe, ensuring it adapts to real-time price data.
A built-in check identifies new bars in the chosen timeframe (patternRes), ensuring accurate updates.
Information Table:
Displays the selected base and pattern timeframes in a table format on the top-right corner of the chart.
Allows traders to see the active settings for quick adjustments.
Key Inputs
Style Settings:
Pattern Color: Customize the color of the geometric patterns.
Size Multiplier (sizeMult): Adjusts the size of the pattern relative to price movements.
Line Width: Controls the thickness of the geometric lines.
Timeframe Settings:
Base Resolution (baseRes): Timeframe for calculating the pattern's anchor (default: daily).
Pattern Resolution (patternRes): Timeframe granularity for the pattern’s formation.
Geometric Adjustments:
Pattern Width (barOffset): Horizontal width in bars.
ATR Multiplier (rangeSize): Vertical size adjustment based on price volatility.
Scientific Concepts
Volatility Representation:
ATR (Average True Range): A standard measure of market volatility, representing the average range of price movements over a defined period. Here, ATR adjusts the vertical height of the geometric figures.
Geometric Symmetry:
The script emulates symmetry similar to the Sri Yantra, aligning with the principles of sacred geometry, which often appear in nature and mathematical constructs. Symmetry in financial data visualizations can aid in intuitive interpretation of price movements.
Multi-Timeframe Fusion:
Synchronizing patterns with multiple timeframes enhances the relevance of overlays for different trading strategies. For example, daily trends combined with hourly patterns can help traders optimize entries and exits.
Visual Features
Outer Square:
Drawn to encapsulate the geometric structure.
Represents the broader context of price levels.
Triangles:
Three layers of interlocking triangles create a fractal pattern, providing a visual alignment to price dynamics.
Horizontal Lines:
Emphasize critical levels within the pattern, offering visual cues for potential support or resistance areas.
Information Table:
Displays the active timeframe settings, helping traders quickly verify configurations.
Applications
Trend Visualization:
Patterns overlay on price movements provide a clearer view of trend direction and potential reversals.
Volatility Mapping:
ATR-based scaling ensures the pattern adjusts to varying market conditions, making it suitable for different asset classes and trading strategies.
Multi-Timeframe Analysis:
Integrates higher and lower timeframes, enabling traders to spot confluences between short-term and long-term price levels.
Potential Enhancements
Add Fibonacci Levels: Overlay Fibonacci retracements within the pattern for deeper price level insights.
Dynamic Alerts: Include alert conditions when price intersects key geometric lines.
Custom Labels: Add text descriptions for critical intersections or triangle centers.
This script is a unique blend of technical analysis and sacred geometry, providing traders with an innovative way to visualize market dynamics.
Pivotal Point Detection
The indicator highlights price gaps (overnight gaps) with significantly increased volume in the daily chart only. These price jumps can occur after earnings reports or other significant news and often point to an important event (e.g., a new product or business model). According to Jesse Livermore, these are called Pivotal Points.
The price jumps displayed by the indicator are not a guarantee that they represent a true Pivotal Point, but they provide a hint of a significant business development - especially when they occur repeatedly alongside revenue growth. This can help identify potentially strong growth stocks and high-performing investments. However, the underlying events and connections must be investigated through additional research.
make posible to find stocks like:
NYSE:PLTR NASDAQ:ROOT NASDAQ:NVDA NYSE:CVNA NYSE:LRN
A "pivotal price line" is drawn at the opening price of the Pivotal Point. This line is considered a support level. If the price falls below this line, the Pivotal Point loses its validity.
Global vs National Index Spread RSIThe Global vs National Index Spread RSI indicator visualizes the relative strength of national stock indices compared to a global benchmark (e.g., AMEX). It calculates the percentage spread between the closing prices of each national index and the global index, applying the Relative Strength Index (RSI) to each spread.
How It Works
Spread Calculation: The spread represents the percentage difference between a national index and the global index.
RSI Application: RSI is applied to these spreads to identify overbought or oversold conditions in the relative performance of the national indices.
Reference Lines: Overbought (70), oversold (30), and neutral (50) levels help guide interpretation.
Insights from Research
The correlation between global and national indices provides insights into market integration and interdependence. Studies such as Forbes & Rigobon (2002) emphasize the importance of understanding these linkages during periods of financial contagion. Observing spread trends with RSI can aid in identifying shifts in investor sentiment and regional performance anomalies.
Use Cases
- Detect divergences between national and global markets.
- Identify overbought or oversold conditions for specific indices.
- Complement portfolio management strategies by monitoring geographic performance.
References
Forbes, K. J., & Rigobon, R. (2002). "No contagion, only interdependence: Measuring stock market co-movements." Journal of Finance.
Eun, C. S., & Shim, S. (1989). "International transmission of stock market movements." Journal of Financial and Quantitative Analysis.
BTC CME Futures Divergence TrackerThis script tracks divergences between price action and open interest for the BTC CME Futures contract (symbol "BTC1!") using the following components:
Key Features:
1. Price Analysis: Identifies lower highs in the price over a specified lookback period. Marks these points with red upward-facing triangles above the bars.
2. Open Interest Analysis: Retrieves open interest (OI) data for the BTC CME Futures contract via request.security. Detects lower highs in open interest over the same lookback period. Highlights these points with blue downward-facing triangles below the bars.
3. Divergence Detection: A divergence is identified when both price and open interest form lower highs simultaneously. Highlights such occurrences with a purple background, indicating potential bearish sentiment or weakening momentum.
4. Alerts: If divergences are detected, an alert is triggered (if enabled), notifying the trader to take action.
5. Visualization: Open interest is plotted as a blue line in a separate pane for added context. Red and blue markers highlight significant points in price and open interest trends.
Use Cases:
- Spot Weakening Trends: Divergences between price and open interest may indicate a loss of momentum or bearish sentiment, allowing traders to preemptively adjust their strategies.
- Monitor Institutional Activity: Open interest changes reflect shifts in market participation, especially in derivative markets like CME Futures.
- Set Alerts for Key Signals: With automated alerts, traders can stay informed of potential divergence signals without constant monitoring.
Customization Options:
- Lookback Period: Adjust the number of bars used to detect lower highs.
- Timeframe: Choose the timeframe for fetching open interest data (e.g., daily, hourly).
- Alert Activation: Enable or disable alerts for divergences.
This tool combines price action with open interest dynamics to provide a robust method for identifying market trends and potential reversals in BTC CME Futures.
Volume HighlightVolume Highlight
Description:
This script helps users analyze trading volume by:
1. Highlighting the highest volume bars:
• Trading sessions with volume equal to or exceeding the highest value over the last 20 periods are displayed in purple.
• Other sessions are displayed in light gray.
2. Displaying the 20-period SMA (Simple Moving Average):
• A 20-period SMA line of the volume is included to track the general trend of trading volume.
Key Features:
• Color-coded Highlights:
• Quickly identify trading sessions with significant volume spikes.
• 20-Period SMA Line:
• Observe the overall trend of trading volume.
• Intuitive Volume Bars:
• Volume bars are clearly displayed for easy interpretation.
How to Use:
1. Add the script to your chart on TradingView.
2. Look at the color of the volume bars:
• Purple: Sessions with the highest trading volume in the past 20 periods.
• Light gray: Other sessions.
3. Use the 20-period SMA line to analyze volume trends.
Purpose:
• Analyze market momentum through trading volume.
• Support trading decisions by identifying significant volume spikes.
Illustration:
• A chart showing color-coded volume bars and the 20-period SMA line.
Sharpe Ratio Indicator (180)Meant to be used on the 1D chart and on BTC.
The Sharpe Ratio Indicator (180 days) is a tool for evaluating risk-adjusted returns, designed for investors who want to assess whether BTC is overvalued, undervalued, or in a neutral state. It plots the Sharpe Ratio over the past 180 days, color-coded to indicate valuation states:
- Red: Overvalued (Sharpe Ratio > 5).
- Green: Undervalued (Sharpe Ratio < -1).
-Blue: Critically Undervalued (Sharpe Ratio <-3).
- Yellow: Neutral (between -1 and 5).
Note that you can change those values yourself in the settings of the indicator.
Strengths:
- Real-time feedback on risk-adjusted returns helps in making timely investment decisions.
- Color-coded signals (red, green, blue and yellow) provide an intuitive, visual indication of the asset's valuation.
- Flexible: Easily adjustable to different subjective valuation levels and risk-free rates.
All hail to Professor Adam and The Real World Community!
London USDEGP priceThis indicator calculates the hypothetical USDEGP price using CIB receipts price in London Stock Exchange and its price in EGX. Values are smoothed.
Exponential growthPurpose
The indicator plots an exponential curve based on historical price data and supports toggling between exponential regression and linear logarithmic regression. It also provides offset bands around the curve for additional insights.
Key Inputs
1. yxlogreg and dlogreg:
These are the "Endwert" (end value) and "Startwert" (start value) for calculating the slope of the logarithmic regression.
2. bars:
Specifies how many historical bars are considered in the calculation.
3.offsetchannel:
Adds an adjustable percentage-based offset to create upper and lower bands around the main exponential curve.
Default: 1 (interpreted as 10% bands).
4.lineareregression log.:
A toggle to switch between exponential function and linear logarithmic regression.
Default: false (exponential is used by default).
5.Dynamic Labels:
Creates a label showing the calculated regression values and historical bars count at the latest bar. The label is updated dynamically.
Use Cases
Exponential Growth Tracking:
Useful for assets or instruments exhibiting exponential growth trends.
Identifying Channels:
Helps identify support and resistance levels using the offset bands.
Switching Analysis Modes:
Flexibility to toggle between exponential and linear logarithmic analysis.
Cosmic Cycle Trader -AYNETThe "Cosmic Cycle Trader 🌌"
Here's a summarized breakdown of the code:
Inputs
Orbital Periods (Moving Averages):
User specifies moving average (MA) periods as a comma-separated string (e.g., "10,20,50,100").
Predefined colors for each MA are used.
Fibonacci Sphere Levels:
User specifies Fibonacci retracement levels as a string (e.g., "0.236,0.382,0.618,1.0").
Color customization for Fibonacci levels is included.
Gravitational Pull (Signal Thresholds):
Configurable thresholds (buy_pull and sell_pull) to define signal triggers.
Alerts can be toggled on or off.
Core Features
Helper Functions:
parse_floats: Converts a comma-separated string into an array of floating-point numbers.
parse_ints: Converts a comma-separated string into an array of integers.
Orbital Periods (Moving Averages):
Moving averages are calculated for the given periods using the ta.sma function.
Each MA is stored in an array and plotted on the chart with a unique color.
Fibonacci Spheres:
Fibonacci levels are calculated based on the high and low of the current bar.
These levels are plotted as circles, visually indicating key price zones.
Signals:
Buy Signal: Triggered when:
The price closes above the highest MA.
The price is between specific Fibonacci levels.
Sell Signal: Triggered when:
The price closes below the lowest MA.
The price is below specific Fibonacci levels.
Alerts:
Alerts are created for buy and sell signals.
Signals are also annotated on the chart with labels and shapes.
Visual Elements
Plots:
Moving averages are plotted with distinct colors and line widths.
Fibonacci spheres are plotted as circles with customizable transparency.
Shapes:
Triangles indicate buy (green) and sell (red) signals on the chart.
Labels:
Buy signals display a "🌕 Buy" label.
Sell signals display a "🌑 Sell" label.
Purpose
This indicator helps traders identify potential buy and sell zones based on:
Moving average trends (orbital periods).
Key Fibonacci retracement levels.
Configurable thresholds (gravitational pull).
This combination of technical analysis tools makes it a visually appealing and functional indicator for traders.
MA Rainbow-AYNETSummary of the "MA Rainbow"
The 200 MA Rainbow script creates a visually appealing representation of multiple moving averages (MAs) with varying lengths and colors to provide insights into price trends and market momentum.
Key Features:
Base Moving Average:
A starting point (ma_length, default 200) is used as the foundation for all other bands.
Rainbow Bands:
The script generates multiple moving averages (bands) with increasing lengths, spaced by a user-defined band_spacing multiplier.
The number of bands is controlled by rainbow_bands, allowing up to 7 bands.
Moving Average Types:
Users can select the MA type: Simple (SMA), Exponential (EMA), or Weighted (WMA).
Dynamic Colors:
Each band is assigned a unique color from a predefined rainbow palette, making the chart visually distinct.
Inputs for Customization:
ma_length: Adjust the base period of the moving average.
rainbow_bands: Set the number of bands to display.
band_spacing: Control the spread between bands.
How It Works:
Precomputing Bands:
Each band’s length is calculated based on the base length (ma_length) and a multiplier (band_spacing).
For example, if ma_length = 200 and band_spacing = 0.2, the lengths of the first 3 bands will be:
Band 1: 200
Band 2: 240
Band 3: 280
Global Plotting:
Each band’s moving average is precomputed using the selected type (SMA, EMA, or WMA).
Bands are plotted globally to avoid scope issues, ensuring compatibility with Pine Script rules.
Color Cycling:
Colors are assigned dynamically from a rainbow palette (red, orange, yellow, green, blue, purple, teal).
Use Case:
The 200 MA Rainbow helps traders:
Visualize market trends with multiple layers of moving averages.
Identify areas of support and resistance.
Gauge momentum through the spread and alignment of bands.
Customization:
Users can:
Change the base moving average length (ma_length).
Adjust the number of bands (rainbow_bands).
Control the spread between bands with band_spacing.
Select the moving average type (SMA, EMA, WMA).
Application:
Copy the script into the Pine Editor in TradingView.
Apply it to your chart to observe the Rainbow MA visualization.
Adjust inputs to match your trading style or strategy.
This script is a versatile tool for both beginner and advanced traders, providing a colorful way to track price trends and market conditions. 🌈
Sharpe Ratio Z-ScoreThe "Sharpe Ratio Z-Score" indicator is a powerful tool designed to measure risk-adjusted returns in financial assets. This script helps investors evaluate the performance of a security relative to its risk, using a Z-score based modification of the Sharpe Ratio. The indicator is suitable for assessing market environments and understanding periods of underperformance or overperformance relative to historical standards.
Features:
Risk Assessment and Scaling: The indicator calculates a modified version of the Sharpe Ratio
over a user-defined period. By using scaling and mean offset adjustments, it allows for better
fitting to different market conditions.
Customizable Settings:
Period Length: The number of bars used to calculate the Sharpe Ratio.
Mean Adjustment: Offset value to adjust the average return of the calculated Sharpe ratio.
Scale Factor: A multiplier for emphasizing or reducing the calculated score's impact.
Line Color: Easily customize the plot's appearance.
Visual Cues:
Plots horizontal lines and fills specific regions to visually represent significant Z-score levels.
Highlighted zones include risk thresholds, such as overbought (positive Z-scores) and oversold
(negative Z-scores) areas, using intuitive color fills:
Green for areas below -0.5 (potential buy opportunities).
Red for areas above 0.5 (potential sell opportunities).
Yellow for neutral zones between -0.5 and 0.5.
Use Cases:
Risk-Adjusted Decision Making: Understand when returns are favorable compared to risk, especially during volatile market conditions.
Timing Reversion to Mean: Use highlighted zones to identify potential reversion-to-mean scenarios.
Trend Analysis: Identify times when an asset's performance is significantly deviating from its
average risk-adjusted return.
How It Works:
The script computes the daily returns over a set period, calculates the standard deviation of
those returns, and then applies a modified Sharpe Ratio approach. The Z-score transformation
helps to visualize how far an asset's risk-adjusted return deviates from its historical average.
This "Sharpe Ratio Z-Score" indicator is well-suited for investors seeking to combine quantitative metrics with visual cues, enhancing decision-making for long and short positions while maintaining a risk-adjusted perspective.
Rainbow Fisher - AYNETThe Rainbow Fisher Indicator is inspired by John Ehlers' work on the Fisher Transform, a tool designed to normalize price movements and highlight overbought and oversold conditions. This script combines Ehlers' Fisher Transform with a rainbow visualization for enhanced trend analysis.
Summary of the Code
Fisher Transform Calculation:
The indicator calculates the Fisher Transform based on normalized high-low price data (hl2), which emphasizes turning points in market trends.
Rainbow Visualization:
The Fisher line is dynamically colored using a rainbow gradient to visually represent the magnitude and direction of market movements.
Overbought/Oversold Levels:
Configurable horizontal lines mark thresholds (1.5 for overbought and -1.5 for oversold by default), helping traders identify extremes in price action.
Signal Labels:
Labels are displayed when the Fisher line crosses the overbought or oversold levels, providing clear visual cues for potential market reversals.
Acknowledgment:
This indicator is an homage to John Ehlers' groundbreaking work in digital signal processing for financial markets.
How to Use
Trend Reversal Detection:
Use the overbought and oversold levels to identify potential turning points in market trends.
Momentum Analysis:
Observe the rainbow-colored Fisher line for directional cues and the strength of price movements.
Customization
Adjust the Fisher Transform length to refine sensitivity.
Modify overbought/oversold levels to align with your trading strategy.
Enable or disable the rainbow effect for simplicity or added clarity.
Let me know if you’d like further refinements or additional features! 🌈
Sharpe Ratio With Upper/Lower BandsSharpe Ratio with Upper/Lower Bands is an advanced indicator designed to measure and visualize risk-adjusted returns. The Sharpe Ratio evaluates the performance of an asset or portfolio relative to its risk, helping traders and investors gauge efficiency.
This indicator enhances the traditional Sharpe Ratio by adding dynamic upper and lower bands based on its historical mean and standard deviation. These bands provide clear visual thresholds for overperformance and underperformance, allowing users to identify when the Sharpe Ratio deviates significantly from its typical range.
It’s a valuable tool for spotting extreme risk-adjusted performance levels, optimizing entry and exit points, and maintaining a balanced risk-reward strategy.
ATH/ATL trackerThis script calculates and displays in a table in realtime:
- ATH, date of occurrence, and that price/current price
- ATL, date of occurrence, and that price/current price
- ATH of the current year, date of occurrence, and that price/current price
- ATL of the current year, date of occurrence, and that price/current price
Fibonacci Candlestick - AYNETHow It Works
Inputs:
ltf_timeframe: Specify the timeframe for candlestick data (e.g., 1H, 4H).
Fibonacci Levels:
Toggle Fibonacci level visibility (show_fib_levels).
Customize Fibonacci line color (fib_color) and width (fib_width).
Candlestick Data:
Fetches open, high, low, and close prices for the specified timeframe using request.security.
Fibonacci Levels:
Calculates standard Fibonacci retracement levels (0.0, 23.6%, 38.2%, 50%, 61.8%, 78.6%, 100%) for each candle's high-low range.
Draws horizontal lines for each level using line.new.
Candlestick Visualization:
Plots lower timeframe candles with customizable bullish and bearish colors.
Key Features
Dynamic Fibonacci Levels:
Fibonacci levels are recalculated for each candlestick's high-low range.
Levels update dynamically with new candles.
Candlestick Overlay:
Visualizes candlestick data from the specified timeframe directly on the current chart.
Customizable Appearance:
Configure colors for Fibonacci levels, candlestick bodies, and wicks.
Use Cases
Microstructure Analysis:
Analyze individual candlesticks with their Fibonacci retracements for potential support/resistance zones.
Multi-Timeframe Trading:
Overlay candlestick and Fibonacci data from a lower timeframe onto a higher timeframe chart.
Let me know if you'd like further enhancements or explanations! 😊
Lower and Higher Timeframe Candles with Labels-AYNETHow It Works
Input Parameters:
Users define:
LTF timeframe (e.g., 5m, 15m, 1H).
Time range (e.g., 9 AM to 5 PM) for candle visibility.
Candle colors for bullish, bearish, and wick.
Data Fetching:
The script fetches LTF candle data (open, high, low, close) using request.security.
Conditional Plotting:
Candles are plotted only if the current time falls within the specified range.
Dynamic Label:
A label with the LTF name is created and updated dynamically as the chart progresses.
Use Cases
Multi-Timeframe Analysis:
Analyze LTF price action within the context of a higher timeframe chart.
Session-Specific Focus:
Limit candle visibility to specific trading hours for better insights.
This script combines LTF visualization and a dynamic label for clear and actionable multi-timeframe analysis.
Math Art with Fibonacci, Trigonometry, and Constants-AYNETScientific Explanation of the Code
This Pine Script code is a dynamic visual representation that combines mathematical constants, trigonometric functions, and Fibonacci sequences to generate geometrical patterns on a TradingView chart. The code leverages Pine Script’s drawing functions (line.new) and real-time bar data to create evolving shapes. Below is a detailed scientific explanation of its components:
1. Inputs and User-Defined Parameters
num_points: Specifies the number of points used to generate the geometrical pattern. Higher values result in more complex and smoother shapes.
scale: A scaling factor to adjust the size of the shape.
rotation: A dynamic rotation factor that evolves the shape over time based on the bar index (bar_index).
shape_color: Defines the color of the drawn shapes.
2. Mathematical Constants
The script employs essential mathematical constants:
Phi (ϕ): Known as the golden ratio
(
1
+
5
)
/
2
(1+
5
)/2, which governs proportions in Fibonacci spirals and natural growth patterns.
Pi (π): Represents the ratio of a circle's circumference to its diameter, crucial for trigonometric calculations.
Euler’s Number (e): The base of natural logarithms, incorporated in exponential growth modeling.
3. Geometric and Trigonometric Calculations
Fibonacci-Based Radius: The radius for each point is determined using a Fibonacci-inspired formula:
𝑟
=
scale
×
𝜙
⋅
𝑖
num_points
r=scale×
num_points
ϕ⋅i
Here,
𝑖
i is the point index. This ensures the shape grows proportionally based on the golden ratio.
Angle Calculation: The angular position of each point is calculated as:
𝜃
=
𝑖
⋅
Δ
𝜃
+
rotation
⋅
bar_index
100
θ=i⋅Δθ+rotation⋅
100
bar_index
where
Δ
𝜃
=
2
𝜋
num_points
Δθ=
num_points
2π
. This generates evenly spaced points along a circle, with dynamic rotation.
Coordinates: Cartesian coordinates
(
𝑥
,
𝑦
)
(x,y) for each point are derived using:
𝑥
=
𝑟
⋅
cos
(
𝜃
)
,
𝑦
=
𝑟
⋅
sin
(
𝜃
)
x=r⋅cos(θ),y=r⋅sin(θ)
These coordinates describe a polar-to-Cartesian transformation.
4. Dynamic Line Drawing
Connecting Points: For each pair of consecutive points, a line is drawn using:
line.new
(
𝑥
1
,
𝑦
1
,
𝑥
2
,
𝑦
2
)
line.new(x
1
,y
1
,x
2
,y
2
)
The coordinates are adjusted by:
bar_index: Aligns the x-axis to the chart’s time-based bar index.
int() Conversion: Ensures x-coordinates are integers, as required by line.new.
Line Properties:
Color: Set by the user.
Width: Fixed at 1 for simplicity.
5. Real-Time Adaptation
The shapes evolve dynamically as new bars form:
Rotation Over Time: The rotation parameter modifies angles proportionally to bar_index, creating a rotating effect.
Bar Index Alignment: Shapes are positioned relative to the current bar on the chart, ensuring synchronization with market data.
6. Visualization and Applications
This script generates evolving geometrical shapes, which have both aesthetic and educational value. Potential applications include:
Mathematical Visualization: Demonstrating the interplay of Fibonacci sequences, trigonometry, and geometry.
Technical Analysis: Serving as a visual overlay for price movement patterns, highlighting cyclical or wave-like behavior.
Dynamic Art: Creating visually appealing and evolving patterns on financial charts.
Scientific Relevance
This code synthesizes principles from:
Mathematical Analysis: Incorporates constants and formulas central to calculus, trigonometry, and algebra.
Geometry: Visualizes patterns derived from polar coordinates and Fibonacci scaling.
Real-Time Systems: Adapts dynamically to market data, showcasing practical applications of mathematics in financial visualization.
If further optimization or additional functionality is required, let me know! 😊
