Voronoi Egg

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A Voronoi Diagram is a partition of a plane into regions based on the proximity to points in a specific subset of the plane known as sites. These sites are typically represented by a set of discrete points, and each region within the diagram is defined as being closer to one particular site than any other. Each point within a region has a unique Voronoi cell that is bounded by the perpendicular bisectors of the lines connecting the point to its nearest neighbors. This means that for any given point in the plane, it will be assigned to exactly one Voronoi cell. Voronoi diagrams have numerous applications in various fields such as computer graphics, geography, and medicine. In computer graphics, they are used to generate realistic terrain models by partitioning a 2D or 3D space into regions based on proximity to certain points of interest. In geography, Voronoi diagrams can be used to divide a country or region into areas based on the distance from certain locations such as cities, towns, or landmarks. This information can be useful for understanding population density and distribution patterns. In medicine, Voronoi diagrams are used to study the spatial distribution of cells within tissues. By analyzing the proximity of cells to their nearest neighbors, researchers can gain insights into cellular behavior and interactions. Voronoi diagrams have many other applications in science, engineering, and economics as well, including data analysis, machine learning, and optimization problems.