Voronoi Diagrams

Level 1 :: Basic Level 2 :: Advanced Level 3 :: Missing Sites Level 4 :: Graphs

Challenge number 1

The diagram shows the locations of ATM machines in a city centre.

Your task is to show the region that is closest to the machine at A by finding the equations of the lines that border that region.

Perpendicular bisector of AB
y =Squared
Perpendicular bisector of AC
y =Squared
Perpendicular bisector of AD
y =Squared
Perpendicular bisector of AE
y =Squared
You do not have to wait until you have entered all of the equations before you click the Draw Graph button.
Sorry, your browser does not support this application.

A

B

C

D

E

This is the third part of a number of different activities involving Voronoi diagrams.

There is a printable worksheet on which you can draw Voronoi diagrams using the good, old-fashioned compasses, pencil and ruler method:

Worksheet
For Whole Class

Straight Line Graphs

Straight Line Graphs

10 straight line graph challenges for use with computer graph plotting software or a graphical display calculator.

The short web address is:

Transum.org/go/?to=straight

Related

Graph Match

Graph Match

Match the equations with the images of the corresponding graphs. Linear, quadratic and more.

The short web address is:

Transum.org/go/?to=graphmatch

Just For Fun

Human Graphs

Human Graphs

Students should be encouraged to stand up and make the shapes of the graphs with their arms.

The short web address is:

Transum.org/go/?to=humangraphs

Suggested

Plotting Graphs

Plotting Graphs

Complete a table of values then plot the corresponding points to create a linear, quadratic or reciprocal graph.

The short web address is:

Transum.org/go/?to=plotting

The solutions to this and other Transum puzzles, exercises and activities are available in this space when you are signed in to your Transum subscription account. If you do not yet have an account and you are a teacher or parent you can apply for one here.

A Transum subscription also gives you access to the 'Class Admin' student management system and opens up ad-free access to the Transum website for you and your pupils.

 

 

National Parks USA

Can you think of a reason why the Voronoi diagram below contains curved edges?

Nearest Major US City

Diagram created by delugetheory with more details on Brilliant Maps.

Apple

©1997-2025 WWW.TRANSUM.ORG

The graph plotting software used in this page was adapted from code written by Richard Ye | GitHub Development (version 0.4)