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Three Pizzerias Voronoi Diagram

Three Pizzerias Voronoi Diagram
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2014-06-24 00:21
TrigonometryCoordinate GeometryGeometric Construction
In collections Voronoi Diagrams
This example demonstrates how Voronoi diagrams can be used to partition service areas for three pizzerias. Key math concepts include Voronoi diagrams, polygons, intersection points, and geometric transformations. It is constructed using GeoGebra commands like Intersect, Point, Polygon, and Voronoi. Suitable for high school mathematics education to understand real-world applications of Voronoi diagrams.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → D
  2. Point(yAxis) → E
  3. Point(xAxis) → G
  4. Polygon(D, E, F, G) → poly1, d, e, f, g
  5. Voronoi({A, B, C}) → graph1

AI Drawing Prompt Reference

Draw a coordinate plane with x-axis and y-axis. Place three points on the axes: one at the origin, one on the y-axis, and one on the x-axis. Connect these three points with a fourth point to form a quadrilateral region. Inside this region, mark three points representing three pizzerias. Then construct a Voronoi diagram for these three points, dividing the quadrilateral into three cells, each containing one pizzeria, with boundaries shown as lines or curves.
The prompt above was compiled from the original drawing commands and is for reference only.