Entropy Puzzle

== INFORMATION THEORY METRICS ==
Moves: 0
Optimal: 0 moves
Objective: Arrange the tiles in order
🧠 Optimal Solution: Calculating...

Information Theory

How to Play

Click on tiles to select them. Click another adjacent tile to swap positions. The goal is to arrange all tiles in numerical order.

Information Theory Concepts

Entropy: Measures the disorder in the puzzle. Lower values indicate a more ordered state.

Mutual Information: Quantifies the relationship between tile positions and values.

Shannon Entropy: Measures the uncertainty about which property is relevant in the puzzle state.

Kolmogorov Complexity: Represents the minimum description length needed to explain the state.

Perceptual Entropy: Quantifies the visual complexity and processing load.

Color Mode Metrics

Gradient Continuity: Measures how smoothly the color gradient flows. Higher values indicate better continuity.

Shade Disparity: Indicates how far color shades are from their correct positions. Higher values are better.

Color Cohesion: Quantifies the visual flow of color patterns. Higher values indicate better visual harmony.

Color Info Gain: Measures information gained from optimizing color arrangements. Increases as you solve the puzzle.

Strategy Tips

Focus on placing tiles in their correct positions one row at a time, starting from the top.

Watch how your moves affect the information metrics to develop a deeper understanding of puzzle complexity.