<Li> In materials science, polycrystalline microstructures in metallic alloys are commonly represented using Voronoi tessellations . In solid state physics, the Wigner - Seitz cell is the Voronoi tessellation of a solid, and the Brillouin zone is the Voronoi tessellation of reciprocal (wave number) space of crystals which have the symmetry of a space group . </Li> <Li> In aviation, Voronoi diagrams are superimposed on oceanic plotting charts to identify the nearest airfield for in - flight diversion (see ETOPS), as an aircraft progresses through its flight plan . </Li> <Li> In architecture, Voronoi patterns were the basis for the winning entry for redevelopment of The Arts Centre Gold Coast . </Li> <Li> In mining, Voronoi polygons are used to estimate the reserves of valuable materials, minerals, or other resources . Exploratory drillholes are used as the set of points in the Voronoi polygons . </Li>

Describe the voronoi diagram for the vertices of a regular polygon