Sheaf Theory Edition - Analyze your behavioral patterns
How to Play
Zones
Inner Zone: Time slows, you move faster Middle Zone: Balanced gameplay Outer Zone: Time rushes, higher scores
Threats
Red: Hit directly Blue: Hit from behind only Yellow: Hit while pulsing
PAUSED
Press SPACE to resume
GAME OVER
0
Your Behavioral Analysis
Behavioral Map
Coverage: 0%Consistency: -
Understanding Your Behavioral Map
What Is This Graph?
This visualization uses mathematical sheaf theory to analyze how you play. Think of it as a map of your decision-making patterns over time.
The graph spreads outward from the center like a clock - early game decisions are near the center, late game moves spread toward the edges.
Reading Your Patterns
Node Colors:
• Blue = Time spent in Inner Zone (safe, strategic)
• Gray = Time spent in Middle Zone (balanced)
• Red = Time spent in Outer Zone (risky, high-reward)
Node Size: Larger nodes mean you spent more time in that behavioral state and played more consistently there.
Connections: Lines between nodes show how you transitioned between different play styles. Thicker lines = stronger behavioral patterns.
What "Sheaf Consistent" Means
✓ Verified: Your local decisions combine into a coherent global strategy. You have developed a consistent play style that adapts well to different situations.
Building: Your strategies vary between different game contexts. This isn't bad - it means you're still exploring and learning optimal patterns.
Coverage Percentage
This shows how much of the game's possibility space you've explored:
• 0-30%: Still learning, focusing on familiar strategies
• 30-60%: Good exploration, developing versatility
• 60%+: Excellent mastery, you've tested many approaches
How This Helps You Improve
Look for patterns in your graph:
• Clusters of same-colored nodes = Your comfort zones
• Sparse areas = Strategies to practice
• Strong connections = Your reliable transitions
Use this information to identify what works and where to experiment next!