🏛️ A Library Of Algorithmic Wonders

A library of fun and interactive mathematical curisoities. Built with C++ and rendered in the browser using WebAssembly.

Explore the Library Live

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🌌 Current Wonders

1. The Chaos Game

A method of creating fractals using a polygon and a random point inside it.

• The Logic: In each iteration, a new point is placed a fraction of the distance between the previous point and a random vertex of the polygon.

• The Result: From pure randomness, the Sierpiński triangle emerges for n =3 and r = 1/2. Other patterns emerge for different n and r. Can you find them?* (Option to change r to be added soon.)

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🛠️ Technical Architecture

• Language: C++ (Standard 17+)
• Rendering: WebGL (via Emscripten/SDL2)
• Philosophy: Every "wonder" is designed to be mathematically accurate and performant at high iteration counts.

🚀 Future Additions

• Mandelbrot Set Visualizer
• Langton's Ant
• Boids Flocking Simulation
• Conway's Game of Life

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📦 Building Locally

To compile the library to WASM:

1. Ensure emsdk is installed and activated.
2. Run:

   emcc main.cpp -s WASM=1 -o index.html