![]() Voronoi diagrams have practical and theoretical applications in many fields, mainly in science and technology, but also in visual art. Voronoi cells are also known as Thiessen polygons. The Voronoi diagram is named after mathematician Georgy Voronoy, and is also called a Voronoi tessellation, a Voronoi decomposition, a Voronoi partition, or a Dirichlet tessellation (after Peter Gustav Lejeune Dirichlet). The Voronoi diagram of a set of points is dual to that set's Delaunay triangulation. For each seed there is a corresponding region, called a Voronoi cell, consisting of all points of the plane closer to that seed than to any other. In the simplest case, these objects are just finitely many points in the plane (called seeds, sites, or generators). In mathematics, a Voronoi diagram is a partition of a plane into regions close to each of a given set of objects. # Use the extent's spatial reference to project the outputĪ of plane partition 20 points and their Voronoi cells (larger version below) This parameter is active when the Shape Type parameter is set to H3 hexagon.Ī(Output_Feature_Class, Extent, s".format(size=w/3 * h/3, unit=u) 15-Hexagons will be created at the H3 resolution of 15, with an average area of 0.000000895.14-Hexagons will be created at the H3 resolution of 14, with an average area of 0.000006267.13-Hexagons will be created at the H3 resolution of 13, with an average area of 0.000043870.12-Hexagons will be created at the H3 resolution of 12, with an average area of 0.000307092.11-Hexagons will be created at the H3 resolution of 11, with an average area of 0.002149643.10-Hexagons will be created at the H3 resolution of 10, with an average area of 0.015047502.9-Hexagons will be created at the H3 resolution of 9, with an average area of 0.105332513.8-Hexagons will be created at the H3 resolution of 8, with an average area of 0.737327598.7-Hexagons will be created at the H3 resolution of 7, with an average area of 5.161293360.6-Hexagons will be created at the H3 resolution of 6, with an average area of 36.129062164.5-Hexagons will be created at the H3 resolution of 5, with an average area of 252.903858182.4-Hexagons will be created at the H3 resolution of 4, with an average area of 1,770.347654491.3-Hexagons will be created at the H3 resolution of 3, with an average area of 12,393.434655088.2-Hexagons will be created at the H3 resolution of 2, with an average area of 86,801.780398997 square kilometers.1-Hexagons will be created at the H3 resolution of 1, with an average area of 609,788.441794133 square kilometers.0-Hexagons will be created at the H3 resolution of 0, with an average area of 4,357,449.416078381.With each increasing resolution value, the area of the polygons will be one seventh the size. Specifies the H3 resolution of the hexagons. To determine the area of a shape based on the length of a side, use one of the following formulas to calculate the value of the Size parameter: The tool generates shapes by areal units. To generate a grid that excludes tessellation features that do not intersect features in another dataset, use the Select Layer By Location tool to select output polygons that contain the source features, and use the Copy Features tool to make a permanent copy of the selected output features to a new feature class. For example, select all features in column A with GRID_ID like 'A-%', or select all features in row 1 with GRID_ID like '%-1'. This allows for easy selection of rows and columns by query using the Select Layer By Attribute tool. The format for the IDs is A-1, A-2, B-1, B-2, and so on. When the Shape Type parameter value is H3 hexagon, the GRID_ID field values will be a unique hierarchical index for each cell.įor all other Shape Type parameter values, the GRID_ID field will be a unique ID for each feature. The GRID_ID field will be added to the output. This occurs because the edges of the tessellated grid will not always be straight lines, and gaps would be present if the grid was limited by the input extent. To ensure that the entire input extent is covered by the tessellated grid, the output features purposely extend beyond the input extent.
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