Cline rules

1# Lorentzian Geometry Visualization
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3This project is an interactive educational tool for visualizing concepts from special relativity and Lorentzian geometry.
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5## Project Purpose
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7This application helps students and educators understand key concepts in special relativity by providing:
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9- Interactive visualizations of Lorentz transformations
10- Minkowski diagrams showing spacetime coordinates
11- Gamma factor calculations and visualizations
12- Time dilation demonstrations with animated clocks
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14## Key Components
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16- **VelocityContext**: Manages the shared velocity state across components
17- **VelocitySlider**: Interactive control for adjusting relative velocity
18- **GammaReadout**: Displays the calculated Lorentz factor (gamma)
19- **GammaGraph**: Visualizes how gamma changes with velocity
20- **MinkowskiDiagram**: Displays spacetime coordinates in different reference frames
21- **ClockAnimation**: Demonstrates time dilation effects
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23## Technical Implementation
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25Built as a Vite + React application using TypeScript and Tailwind CSS 4.1+. The project leverages:
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27- React's Context API for state management
28- Visx for data visualization components
29- MathJax for rendering mathematical equations
30- Tailwind CSS for responsive, utility-first styling
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32## Development
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34This project follows modern React development practices with a component-based architecture and TypeScript for type safety.
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