#cli-lattice

Lattice Visualization Tool

This tool visualizes high-dimensional lattices and their duals using Three.js. It allows for the generation of lattice points, visualization of the fundamental parallelepiped, and visualization of the dual lattice.

Features

• Generate and visualize lattice points.
• Add and remove fundamental parallelepipeds.
• Visualize the dual lattice.

Installation

1. Clone the repository:

   git clone https://github.com/your-username/your-repository-name.git
   cd your-repository-name

2. Install dependencies:

   Ensure you have Node.js installed. Then run:

   npm install

Usage

1. Run the server:

   node lattice-visualizer.mjs --dimension <dimension> --sumLimit <sumLimit>

   Replace <dimension> with the desired dimension of the lattice and <sumLimit> with the sum limit for the lattice points. For example:

   node lattice-visualizer.mjs --dimension 3 --sumLimit 5
   

   node lattice-visualizer.mjs -d 3 -s 5

   Note: The number of points generated is restricted to 1000000000. You can change it depending on your device's capability by changng the value of MAX_POINTS.

2. Open the visualization:

   The server will start at http://localhost:3000. Open this URL in your web browser to view the lattice visualization.

Features and Controls

• Add Fundamental Parallelepiped: Adds a fundamental parallelepiped using random lattice points.
• Remove Parallelepiped: Removes the last added fundamental parallelepiped.
• Visualize Dual Lattice: Prompts for a basis and visualizes the dual lattice.
• Show Original Lattice: Reverts back to showing the original lattice points.

License

This project is licensed under the MIT License. See the LICENSE file for details.