Mathematical Definition

Neighborhoods are calculated using a Manhattan distance-based Voronoi diagram. Each filtered plot creates an "influence zone" that extends outward until it meets another plot's influence, using city-block distance (horizontal + vertical steps) rather than straight-line distance.

How It's Calculated

Step 1: For every empty plot on the grid, calculate Manhattan distance to all filtered plots.

Step 2: Assign each plot to its closest neighbor(s). Plots controlled by single owners get unique colors.

Step 3: "Contested" or "shared" territory (equidistant from multiple plots) gets gray shading with numbers showing how many plots compete for that space.

Visual Legend

Colored regions: Territory controlled by a single filtered plot.

Gray regions with numbers: Shared territory, the superimposed number showing how many filtered plots are equidistant (i.e. have equal claim).

Community-Driven Metaverse Architecture

The neighborhood system forms the foundation for a community-driven metaverse where Turf becomes a template for distributed virtual worlds. Like the internet itself, the Meturferse operates on distributed principles. When users hold real stakes through plot ownership, in-game value creation directly translates to real-world wealth generation.