Google Classroom
GeoGebraGeoGebra Classroom

Voronoi possibilities

Image
Image
In Linz it is a bit more complicated than in Budweis. In Linz, five post offices (yellow dots on the map) are going to open. Each house should be supplied by the nearest post office as the crow flies. Try to construct the delivery areas for each post office!

From which post office do I get my parcel?

Check your solution using the command: Voronoi( List of points ) Using curly braces you can create a list of several objects (e.g. points). Example: L={A,B,C} gives you a list consisting of three prior defined points A, B, and C.

Discuss the following questions!

  • How many edges can converge a vertex?
  • In this diagram, are all the post offices enclosed? Why not?
  • If your house is on the edge between P1 and P3 - what does this mean?
  • What if you were in a house at the vertex between several regions?