Basic Brownian distribution

This experiment demonstrates spatial object distribution using a random walk algorithm inspired by Brownian motion principles. Rather than animating particles in motion, this visualization shows how objects can be positioned in 3D space using statistical patterns derived from random walk algorithms.

What You'll See

The scene features 2000 geometric objects (spheres, cubes, and pyramids) distributed throughout 3D space following a Brownian distribution pattern. Each object:

• Is positioned using a random walk algorithm that simulates particle displacement patterns
• Changes color on hover from the theme color to bright yellow
• Resets position when moving outside the boundary constraints
• Adapts to dark/light mode with appropriate color schemes

Central Animation

At the center of the chaos, three geometric shapes (pyramid, cube, sphere) perform a synchronized dance:

• Vertical oscillation using trigonometric functions
• Dynamic scaling that pulses with the animation
• Phase-shifted timing creating a wave-like effect

Technical Implementation

The experiment showcases several advanced TresJS concepts:

• Instanced Rendering: Efficiently renders 2000 objects using TresInstancedMesh
• Random Walk Distribution: Implements spatial distribution using random walk patterns with boundary constraints
• Interactive Materials: Hover effects using pointer events
• Loop Integration: Smooth animations using useLoop composable
• Dark Mode Support: Reactive color schemes using useDark

Key Features

• Performance Optimized: Uses Three.js instancing for smooth 60fps rendering
• Interactive: Hover over any particle to see it highlight
• Responsive: Adapts to different screen sizes and themes
• Statistically Accurate: Implements random walk distribution patterns based on Brownian motion statistics

This visualization serves as both an educational tool for understanding random distributions and a performance benchmark for TresJS's capability to handle large numbers of interactive objects.