Education Technology

Voronoi Diagrams

Subject Area
Math: Geometry: Quadrilaterals and Polygons
Level
9-12
Activity Time
50 Minutes
Software
TI-Nspire™ CX
TI-Nspire™ CX CAS
TI Calculator
TI-Nspire™ CX series
TI-Nspire™ CX CAS/CX II CAS

Voronoi Diagrams

Activity Overview

In this activity, students will create Voronoi Diagrams and apply them to real world scenarios. 

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 lesson involves the creation and application of Voronoi Diagrams. As a result, students will:

  • Perform Delaunay Triangulation given a set of coordinates or seeds.
  • Find the circumcenter of each triangle created, using perpendicular bisectors.
  • Use the circumcenters to separate regions or cells in the Voronoi Diagram.
  • Apply Voronoi Diagrams to real world situations.

Subject Area
Math: Geometry: Quadrilaterals and Polygons
Level
9-12
Activity Time
50 Minutes
Software
TI-Nspire™ CX
TI-Nspire™ CX CAS
TI Calculator
TI-Nspire™ CX series
TI-Nspire™ CX CAS/CX II CAS
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