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Geometry: Voronoi Diagrams

by Texas Instruments

Objectives

  • Students will create Voronoi Diagrams and apply them to real world situations.
  • Students will draw triangles and find their circumcenters using perpendicular bisectors.
  • Connect the use of Voronoi Diagrams with finding the Equations of lines in the form ax + by + c = 0 form, Where a, b, and c are all integers.

Vocabulary

  • Voronoi Diagrams
  • circumcenter
  • seeds
  •  Delaunay Triangulation
  • perpendicular bisector

About the Lesson

 This activity is done mainly by hand, but uses the TI-84 family as an aid to the problems. If you are skilled at using Cabri Jr. you can also share with the students how to create a Voronoi Diagram in the handheld. Students will need a ruler and pencil to complete the activity. Also, having colored pencils when the Voronoi Diagram is created will help distinguish the cells that are created.
 

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