LogicMap

A beautiful, interactive visualization of the Logistic Map—the simple equation that reveals the edge of chaos.

👉 Live Demo: logicmap.curnext.com

About

LogicMap is an educational tool designed to make Chaos Theory intuitive and accessible. It visualizes the famous logistic map equation:

$$x_{n+1} = r \cdot x_n \cdot (1 - x_n)$$

Through an interactive interface, users can explore how changing a single variable ($r$, the growth rate) transitions a system from stability to periodicity, and finally into pure chaos.

Features

• Interactive Bifurcation Diagram: Explore the fractal structure of the logistic map.
• Animated Cobweb Plot: Visualize the iterative process step-by-step.
• Guided Introduction: A built-in crash course on the "Edge of Chaos" and the Butterfly Effect.
• Real-time Controls: Adjust simulation speed, detail level, and visual parameters.

Tech Stack

• Framework: Svelte 5
• Build Tool: Vite
• Language: TypeScript
• Styling: CSS / Tailwind utilities

Local Development

1. Clone the repository

   git clone https://github.com/curnext/logicmap.git
   cd logicmap

2. Install dependencies

   npm install

3. Start the development server

   npm run dev

4. Build for production

   npm run build