🥧 Library of Pi

"Everything that can ever be said or written is contained within Pi's infinite digits"

A mystical, interactive web application that searches for words and phrases hidden within the infinite digits of Pi. Built with React, TypeScript, and mathematical wonder.

✨ Features

• 🔍 Word Search: Search for any (20 character) word or phrase within the first billion digits of Pi
• 🎭 Beautiful Visualization: Animated spirograph patterns based on Pi's mathematical properties
• 📊 Probability Analysis: Advanced mathematical calculations showing the likelihood of finding patterns
• 🎵 Ambient Experience: Subtle background music to enhance the cosmic exploration
• 📱 Responsive Design: Works seamlessly on desktop and mobile devices
• 🌌 Cosmic Theme: Mystical dark theme with golden accents and floating animations

🚀 Live Demo

Visit the live application: Library of Pi

🧮 How It Works

Letter-to-Number Mapping

Words are converted to numbers using a custom mapping table with 100 unique characters (including Latin, Turkish, accented, and select Greek letters):

• Each character is assigned a two-digit code from 00 to 99
• For example: A=00, Á=01, Ç=12, İ=34, Ö=58, Ş=72, Ψ=99
• "ÇAĞRI" becomes "1204311734"
• This numeric sequence is then searched within Pi's digits

Mathematical Search

• Searches through over 10 billion digits of Pi using the pilookup.com API and a Go API hosted on AWS EC2.
• Displays the exact position where your phrase appears
• Shows surrounding context with both numeric and letter representations

Probability Calculation

When a sequence isn't found, we calculate the probability using:

• Finite State Automata to track partial pattern matches
• Markov Chain Analysis for modeling the search process
• Matrix Exponentiation for efficient probability calculations
• Assumes Pi's digits are statistically random (which they appear to be)

🛠️ Tech Stack

• Frontend: React 18 + TypeScript
• Styling: Custom CSS with Tailwind CSS utilities
• Animations: GSAP (GreenSock)
• UI Components: Custom components with shadcn/ui base
• Build Tool: Vite
• API: pilookup.com for Pi digit searches

🏗️ Project Structure

src/
├── components/
│   ├── ui/              # Base UI components
│   └── PiVisualization/ # Mathematical visualization component
├── App.tsx              # Main application component
├── App.css              # Cosmic styling and animations
└── main.tsx             # Application entry point

🎨 Design Philosophy

The Library of Pi embraces a cosmic, mystical aesthetic that reflects the infinite nature of Pi:

• Dark cosmic background with subtle gradients
• Golden color palette (rgba(205, 193, 147)) for mathematical elegance
• Floating animations and particle effects
• Typography: Playfair Display for headings, Crimson Text for body
• Smooth transitions and micro-interactions throughout

🚀 Getting Started

Prerequisites

• Node.js 18+
• npm or yarn

Installation

1. Clone the repository

   git clone https://github.com/calebsakala/libraryofpi.git
   cd libraryofpi

2. Install dependencies

   npm install

3. Start development server

   npm run dev

4. Open your browser

   http://localhost:5173
   

Build for Production

npm run build

🎭 Features in Detail

🌟 Loading Experience

• Animated loading screen with progress simulation
• Cosmic ambiance preparation
• One-time experience with session persistence

🔍 Search Interface

• Real-time input validation
• Character limit (20 characters)
• Smooth animations and feedback
• Mobile-optimized input experience

📊 Result Display

• Success: Beautiful card showing discovery details, position, and context
• Not Found: Probability analysis with mathematical explanation
• Context Visualization: Shows before/after sequences in both numbers and letters

🎵 Audio Experience

• Embedded YouTube player with ambient music
• Subtle positioning and transparency
• User-controllable playback
• Auto-play after user interaction

🧠 The Mathematics

Pi contains every possible finite sequence of digits, which means:

• Every book ever written exists somewhere in Pi
• Every conversation, including this README
• Every possible combination of letters and numbers
• The challenge is finding them within computational limits

Our search covers the first 10 billion digits, giving us a substantial window into Pi's infinite sequence.

🤝 Contributing

Contributions are welcome! Whether you want to:

• Improve the mathematical algorithms
• Enhance the visual design
• Add new features
• Fix bugs
• Improve documentation

Please feel free to open issues and pull requests.

📝 License

This project is open source and available under the MIT License.

👨‍💻 About the Creator

Caleb Sakala - Inspired by the infinite beauty of mathematics and the wonder of Pi.

Connect with me:

• 💼 LinkedIn: linkedin.com/in/calebsakala
• 🐦 Twitter/X: @bytecaleb
• 💻 GitHub: @calebsakala

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🌟 Star This Repository

If you find this project interesting or useful, please consider giving it a star! It helps others discover the infinite beauty of Pi.

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"In the digits of Pi, every story has already been written, every equation already solved, every dream already dreamed. We're just archaeologists of the infinite, uncovering what was always there."