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https://github.com/zelosleone/iching

Modern I Ching oracle powered by true random number generation and mathematical state transformations.
https://github.com/zelosleone/iching

async-javascript atmospheric-noise binary-mathematics binary-transformation divination hexagrams i-ching iching javascript mathematics oracle random-org vector-graphics

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Modern I Ching oracle powered by true random number generation and mathematical state transformations.

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README 

        
# I Ching Oracle



A sophisticated implementation of the I Ching (Book of Changes) divination system, combining ancient wisdom with modern cryptographic-grade randomness. This web application employs true quantum atmospheric noise from Random.org to generate authentic hexagrams, ensuring cryptographically secure and genuinely random divination results.



## Features



- **Cryptographic-Grade Randomness**: Utilizes Random.org's atmospheric noise measurements for true random number generation, superior to pseudo-random algorithms

- **Binary-Decimal Transformation**: Elegant mathematical conversion between binary hexagram representations and their numerical equivalents (6:7:8:9 methodology)

- **Deterministic State Transitions**: Sophisticated state machine handling hexagram transformations through changing lines

- **Advanced Line Mutation Algorithm**: Mathematical mapping of 6/7/8/9 to Yin/Yang states with built-in transformation logic

- **Real-Time Binary Key Generation**: Dynamic conversion of hexagram states to binary keys for instant lookup and transformation

- **Responsive Vector Graphics**: Pure CSS-based vector line rendering for crisp display at any resolution

- **Asynchronous API Integration**: Non-blocking architecture for seamless Random.org API interactions

- **State-Preserving Transformations**: Intelligent handling of hexagram mutations while maintaining mathematical validity



## Technical Implementation



### Mathematics of Hexagram Generation



The application employs a sophisticated mathematical approach to hexagram generation:



1. **Random Number Generation**: 

   - Range: [6,9] for changing/unchanging states

   - Probability distribution: Uniform over discrete integers

   - Source: Atmospheric noise measurements



2. **Binary State Mapping**:

   ```

   6 -> Changing Yin  (0 -> 1)

   7 -> Static Yang   (1)

   8 -> Static Yin    (0)

   9 -> Changing Yang (1 -> 0)

   ```



3. **Transformation Matrix**:

   - Original state: [a₁, a₂, a₃, a₄, a₅, a₆] where aᵢ ∈ {6,7,8,9}

   - Binary mapping: ℱ: {6,7,8,9} → {0,1}

   - Transformation: T(aᵢ) → bᵢ where bᵢ represents the final state



## Technology Stack



- HTML5 with semantic structure

- CSS3 with custom properties and mathematical transforms

- Vanilla JavaScript leveraging modern ES6+ features

- RESTful integration with Random.org's API

- Asynchronous architecture with Promise-based flow control

- Vector-based line rendering system



## Getting Started



### Prerequisites



No special prerequisites are required. You only need a modern web browser to run this application.



## Usage



1. Enter your question in the provided text area

2. (Optional) Toggle unchanging hexagram mode for specific state constraints

3. Initiate the casting process

4. The system will display:

   - Generated random numbers and their mathematical significance

   - Original hexagram with binary state representation

   - Changing line calculations (when present)

   - Transformed hexagram with mathematical derivation



## Contributing



Contributions are welcome! Please feel free to submit a Pull Request.



## License



This project is licensed under the MIT License.



## Acknowledgments



- [Random.org](https://www.random.org) for providing cryptographic-grade random number generation

- [No2Do](https://www.no2do.com) for comprehensive hexagram interpretations