# Wave Function Collapse

> Mathematical theory and implementation details for Wave Function Collapse

## Mathematical Theory

**Mathematical Foundation**:

- **Wave Function**: Each cell represents superposition of possible states
- **Constraints**: Rules that define valid neighboring patterns
- **Collapse**: Observation reduces superposition to single state
- **Propagation**: Constraint propagation updates neighboring cells

**Key Properties**:

- **Constraint Satisfaction**: Ensures all constraints are satisfied
- **Pattern Coherence**: Maintains visual coherence in generated patterns
- **Backtracking**: Handles constraint violations through backtracking

## Implementation

For implementation details and usage examples, see the source code in the `src/` directory.

## API Reference

```typescript
// Import the algorithm
import { WaveFunctionCollapse } from '@entropy-tamer/reynard-algorithms';
```

## Performance

See the [Performance Analysis](../performance/) section for detailed benchmarks and optimization strategies.