Voronoi Diagram and Similar Maps
This activity belongs to the GeoGebra book GeoGebra Principia.
Although the implicit curve is faster to create and use, the offset method allows us to tackle problems that the implicit curve cannot address. For instance, if instead of applying the offset method to the equidistance between two points (the bisector), we apply it to several points, we obtain the Voronoi diagram (or Thiessen polygons).
Similarly, we can also create the map of regions closest to a collection of lines or circles.
- Note: GeoGebra's Voronoi command does not color each region. A dynamic way of achieving this can be seen here
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Author of the construction of GeoGebra: Rafael Losada.