Implement recursive algorithm patterns

Create implementations for common recursive algorithm patterns:

## Fundamental patterns:
- Linear recursion
- Binary recursion
- Tail recursion (with optimization)
- Mutual recursion
- Nested recursion
- Multiple recursion

## Classic recursive problems:
- Tower of Hanoi
- Factorial calculation
- Fibonacci sequence
- Binary search
- Merge sort
- Quick sort
- Power function

## Advanced techniques:
- Memoization implementation
- Tail recursion optimization
- Recursion to iteration conversion
- Recurrence relation analysis

## Requirements:
- Provide detailed explanations of recursion mechanics
- Include illustrations of the call stack
- Document time and space complexity
- Compare recursive vs iterative approaches

This collection will demonstrate proper implementation of recursive algorithms with a focus on understanding the underlying principles and optimization techniques.