Block the Pig

⬡ Hexagonal Grid Topology and Pathfinding AI

Block the Pig is a deceptive exercise in graph theory, specifically played on a hexagonal tessellation. Unlike square grids, a hexagon offers six degrees of movement freedom, significantly increasing the complexity of containment. The AI controlling the pig typically employs a shortest-path algorithm (akin to A* or Dijkstra) to calculate the fewest steps to the grid's perimeter. The player's role is to act as a "dynamic obstacle generator," altering the graph's weight in real-time to trap the agent.

The game starts with a random distribution of pre-existing blocks. This stochastic setup ensures that no two puzzles are identical, requiring the player to analyze the initial state for "weak nodes"—hexagons that offer the pig a direct line to the exit.

🧠 Strategic Encirclement Logic

Success requires shifting from reactive to proactive thinking:

• The 3-Block Rule: If the pig is within 3 moves of the edge and has an open path, it is mathematically impossible to stop it (unless you have pre-placed blocks). You must identify these "checkmate" scenarios early.
• Loose Containment: Beginners try to block the pig directly adjacent to its position. Experts build a "net" 2-3 rings out. By reducing the perimeter size gradually, you limit the pig's available nodes without wasting moves on immediate threats that can simply be sidestepped.

🎮 Mechanics: Turn-Based Determinism

The rules are strict:

• Turn Order: The player places one block (removes a node). The pig moves one space (traverses an edge).
• Round Start: The first three blocks are critical. If you do not sever the primary escape vector in the first turns, the pig's escape velocity becomes unstoppable.

🏆 Mastery Techniques

1. The "Triangle" Trap

The most efficient shape for containment on a hex grid is a triangle, not a square. Forming triangular barriers requires fewer blocks to cover the same angular area, leveraging the geometry of the grid against the AI.

2. Forcing the AI

You can manipulate the pig's path. By leaving a seemingly open route that leads to a pre-blocked dead end, you can bait the AI into wasting its moves walking into a trap.

🛡️ Technical Implementation

Engine notes:

• HTML5 Canvas: Renders the hex grid using vector math to ensure crisp lines at any resolution.
• Lightweight AI: The pathfinding logic is optimized to run instantly, ensuring zero wait time between turns.

❓ FAQ