Implement 3D particle simulation with real-time physics and interactive controls

[Copilot]

Implements a browser-based 3D particle simulation exploring emergent behaviors from simple force interactions.

Implementation

• Particle System: 3D particles with position, velocity, acceleration vectors. Verlet integration for physics updates.
• Forces: Configurable gravity, center attraction, and short-range inter-particle interactions (<50 units).
• Rendering: Canvas-based with 3D→2D projection, automatic YX rotation, depth sorting for proper occlusion.
• Visual Effects: Depth-scaled particle sizing, HSL color mapping, optional motion trails with alpha decay, glow halos.
• Controls: Real-time parameter adjustment (particle count, forces, speed, rotation) with performance stats (FPS, count).

Technical Details

Pure HTML5/Canvas/JS with no dependencies. O(n²) inter-particle forces limited to nearby particles. Boundary wrapping at configurable limits. Runs 60+ FPS with 100-500 particles.

// Core particle update with configurable boundary
update(speedMultiplier) {
    this.vx += this.ax * speedMultiplier;
    this.vy += this.ay * speedMultiplier;
    this.vz += this.az * speedMultiplier;
    
    this.x += this.vx * speedMultiplier;
    this.y += this.vy * speedMultiplier;
    this.z += this.vz * speedMultiplier;
    
    // Boundary wrapping
    if (this.x > config.boundary) this.x = -config.boundary;
    // ... other axes
}

Screenshots

Default view - 100 particles with depth effects and automatic rotation:

Motion trails enabled - Shows particle trajectories over time:

High density - 260 particles demonstrating swarm behavior:

Original prompt

A simple 3D particle simulation to explore particles with interesting properties

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