A variety of questions about Voronoi Diagrams presented in a self-marking, online exercise.
This is level 1: general questions about a diagram of a rectangular shaped island. You can earn a trophy if you get at least 7 questions correct and you do this activity online.
This is a diagram of Oblong Island which, amazingly, is in the shape of a rectangle. Any location on the island can be defined by a set of coordinates.
There are seven camping sites on the island labelled A to G.
Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.
When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.
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Scan the QR code below to visit the online version of this activity.
Printable Worksheet: Get a real 'feel' for Voronoi diagrams with this resource on which you can draw Voronoi diagrams using the good, old-fashioned compasses, pencil and ruler method.
Level 1 - General questions about a diagram of a rectangular shaped island
Level 2 - Questions involving the vocabulary and mathematics of Voronoi diagrams.
Level 3 - Define a region on a Voronoi Diagrams by finding the equations of the edges.
Exam Style Questions - A collection of problems in the style of IB exam paper questions.
More on Loci including lesson Starters, visual aids, investigations and self-marking exercises.
See the National Curriculum page for links to related online activities and resources.
Sites: These are the important locations from which the positions of the lines of the Voronoi diagram are calculated.
Cells: These are the areas that surround the sites and contain the points which are closer to that site than to any other site. The cells are labelled according to the site which they contain.
Edges: These are the borders between the cells. They are the lines showing the points equidistant from pairs of sites.
Vertices: A vertex is the point at which three or more edges meet. Each vertex is equally close to the sites whose cells meet at that vertex.
Nearest Neighbour interpolation is a simple method of estimating the value of a variable at any point by using the variable's value at the nearest site.
Toxic Dump Problem: This problem can be described as finding the optimal position for a toxic waste dump, so as to maximise its distance from the nearest town. If not on the border of the diagram the location will always be at one of the vertices.
Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.