This repository contains the FMTS application, an advanced market simulation software that explores fractal mathematics in trading systems. The application features sophisticated pattern recognition, predictive analytics, and real-time market behavior analysis. Available for both Mac and Windows platforms.

FMTS (Fractal Mathematics in Trading Systems) is an intelligent market simulation application built with Unity, designed to:

• Identify self-similar market fractal patterns using advanced mathematical algorithms
• Model complex market behaviors with fractal dimension calculations and box-counting methods
• Generate predictive insights through ensemble machine learning approaches
• Analyze market trends using multi-scale volatility clustering and pattern matching
• Export comprehensive data for further research and analysis

• mac-version/: Contains the Mac version of the application

  • FMTS (Mac).app/: The extracted Mac application bundle
  • FMTS (Mac).app.zip: The original compressed Mac application (39.3 MB)

• windows-version/: Contains the Windows version of the application

  • FMTS (Windows)/: The extracted Windows application files
  • FMTS (Windows).zip: The original compressed Windows application (27.5 MB)

• Platform: Cross-platform (Mac & Windows)
• Engine: Unity (based on file structure and dependencies)
• Runtime: Uses MonoBleedingEdge for managed code execution
• Graphics: DirectX 12 support (Windows version)
• Architecture: 64-bit (x86_64)

• Self-Similarity Detection: Identifies recurring patterns at multiple time scales using fractal dimension analysis
• Box-Counting Algorithm: Calculates fractal dimensions with precision for pattern complexity measurement
• Dynamic Time Warping: Compares pattern similarities across different time horizons
• Pattern Confidence Scoring: Evaluates pattern reliability based on occurrence frequency and mathematical properties

• Multi-Scale Moving Averages: Short, medium, and long-term trend analysis
• Volatility Clustering Detection: Identifies periods of high/low market volatility
• Trend Persistence Calculation: Measures market momentum and direction stability
• Reversal Frequency Analysis: Tracks market turning points and cycles

• Ensemble Prediction Methods: Combines 5 different prediction algorithms for robust forecasting
• Neural Network Integration: Simple feed-forward network for pattern-based predictions
• Volume-Weighted Analysis: Incorporates trading volume for enhanced prediction accuracy
• Confidence-Based Filtering: Only presents predictions above configurable confidence thresholds

• Fractal Market Generation: Creates realistic market data using geometric Brownian motion with fractal noise
• Volatility Clustering: Simulates real market volatility patterns
• Volume Spike Modeling: Generates realistic volume patterns during market events
• Configurable Parameters: Adjustable volatility, trend strength, and simulation speed

• CSV Data Export: Exports session data, patterns, predictions, and market metrics
• Real-time Logging: Continuous data capture during simulation sessions
• Pattern Point Export: Detailed fractal pattern coordinates for external analysis
• Behavioral Metrics Export: Trend analysis and market behavior statistics

• Cross-platform compatibility (Mac & Windows)
• Real-time visualization of market data and patterns
• Interactive UI for system monitoring and control
• Performance-optimized with Burst compilation
• Comprehensive .NET framework integration

1. Extract or download the FMTS (Mac).app from the mac-version directory
2. Run the application bundle
3. The system will automatically start market simulation and pattern analysis
4. Data exports will be saved to the application's persistent data directory

1. Extract or download the contents from FMTS (Windows) directory
2. Run Market Simulation.exe
3. The system will automatically start market simulation and pattern analysis
4. Data exports will be saved to the application's persistent data directory

• Auto-simulation: Runs continuously, generating realistic market data
• Real-time Analysis: Patterns are identified and predictions generated automatically
• Data Export: Session data is exported automatically on application exit
• Session Management: Start new sessions to reset analysis and begin fresh data collection

The application includes all necessary runtime dependencies:

• Unity Player/Engine
• Mono runtime (.NET implementation)
• Platform-specific graphics libraries
• Burst-compiled optimized code

1. FractalPatternRecognition.cs: Core pattern detection using fractal dimension analysis
2. MarketBehaviorAnalyzer.cs: Market trend and volatility analysis system
3. PredictiveInsightEngine.cs: Multi-method prediction system with neural network integration
4. SessionDataExporter.cs: Comprehensive data logging and CSV export functionality
5. FMTSController.cs: Main system coordinator and market data generator

• Fractal Dimension Calculation: Box-counting method for pattern complexity analysis
• Self-Similarity Detection: Multi-scale pattern comparison using Dynamic Time Warping
• Geometric Brownian Motion: Realistic market price simulation with fractal noise components
• Volatility Clustering: Fractal-based volatility modeling for realistic market behavior
• Ensemble Learning: Combines multiple prediction methods for robust forecasting

Exported CSV files include:

• session_summary.csv: Overall session metrics and performance
• market_data.csv: Tick-by-tick price, volume, and direction data
• fractal_patterns.csv: Discovered patterns with similarity indices
• pattern_points.csv: Detailed normalized pattern coordinates
• predictions.csv: All predictions with confidence scores and reasoning
• behavior_metrics.csv: Market behavior analysis results
• market_trends.csv: Identified trends with strength and persistence metrics

• Fractal market hypothesis testing with real-time pattern identification
• Market efficiency studies using self-similarity analysis
• Volatility clustering research with fractal dimension measurements
• Pattern recognition validation for financial time series

• Algorithm development for pattern-based trading strategies
• Risk assessment modeling using fractal complexity measures
• Market regime identification through behavioral pattern analysis
• Backtesting framework for fractal-based prediction models

• Fractal mathematics visualization in financial contexts
• Market simulation training with realistic price generation
• Pattern recognition learning with immediate feedback
• Data analysis skills development using exported CSV datasets

• Mac Version: ~39.3 MB (compressed)
• Windows Version: ~27.5 MB (compressed)

FMTS delivers a comprehensive fractal mathematics trading analysis platform featuring:

✅ Real-time pattern recognition using advanced fractal dimension calculations
✅ Self-similarity detection across multiple market time scales
✅ Ensemble prediction engine combining 5 different forecasting methods
✅ Comprehensive data export with detailed CSV analytics
✅ Live market simulation using fractal-enhanced Brownian motion
✅ Behavioral trend analysis with persistence and reversal tracking
✅ Neural network integration for pattern-based market predictions
✅ Cross-platform deployment on Mac and Windows systems

This repository contains the complete FMTS (Fractal Mathematics in Trading Systems) application - a sophisticated research platform that combines advanced mathematical analysis with real-time market simulation. The system identifies self-similar market patterns, models complex behaviors, and explores predictive insights through fractal mathematics, providing researchers and analysts with powerful tools for understanding market dynamics.

🔬 Research Features: Pattern recognition • Fractal analysis • Predictive modeling
📊 Data Analytics: Real-time CSV export • Behavioral metrics • Trend analysis
⚡ Performance: Unity-optimized • Real-time processing • Configurable simulation
📈 Applications: Academic research • Algorithm development • Educational training