What does a Voronoi diagram represent?

A Voronoi diagram represents a way to partition a plane into regions based on the distance to a specific set of points, where each region corresponds to one point and includes all locations closer to that point than to any other. This concept is closely related to Thiessen polygons, which are another name for the regions created by a Voronoi diagram. In essence, the Voronoi diagram visualizes how space can be divided based on proximity to a predetermined set of locations, and Thiessen polygons are the geometric manifestation of that division.

The connection lies in the fact that both Voronoi diagrams and Thiessen polygons illustrate spatial relationships and are utilized in various applications such as spatial analysis, resource allocation, and optimizing locations for services. The other options do not capture this specific aspect of Voronoi diagrams, which is fundamentally about proximity-based partitioning of space.