3D Random Walk

About the 3D Random Walk Simulation

This interactive visualization demonstrates a random walk in three-dimensional space, a fundamental concept in mathematics, physics, and computer science.

What is a Random Walk?

A random walk is a mathematical model that describes a path consisting of a succession of random steps. In this 3D version, a particle moves through space by taking steps in one of six directions (up, down, left, right, forward, backward) based on configurable probabilities.

Key Features:

• Customizable Probabilities: Adjust the likelihood of movement in each direction to create biased or unbiased walks
• Real-time Statistics: Track steps taken, current distance from origin, and maximum distance reached
• 3D Visualization: Interactive camera controls allow you to observe the walk from any angle
• Trail Visualization: See the path taken with adjustable trail length
• Wraparound Boundaries: The particle seamlessly wraps around the world edges, creating an infinite space effect

Applications:

Random walks are used to model many real-world phenomena including:

• Stock market fluctuations and financial modeling
• Molecular motion and diffusion processes in physics
• Animal foraging patterns and ecological studies
• Network analysis and web page ranking algorithms
• Monte Carlo simulations and computational modeling