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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 for providing cryptographic-grade random number generation
  • No2Do for comprehensive hexagram interpretations