0
MIDDLE
Normal Speed
Direct
Hit from behind
Hit while pulsing

Orbital Rhythm

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

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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!