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Making Moiré Patterns

Age 11 to 18 Challenge Level:

Why do this problem?

Read this article for a discussion on the importance and the benefits of programming in the classroom.

This problem uses the free-to-download LOGO software to introduce students to some programming through the engaging context of Moiré patterns. The patterns produced are pleasing to the eye, and students can be encouraged to be playful with their LOGO constructions in order to produce attractive patterns, while considering the geometry of different constructions.


Possible approach


Students will need to work on computers, with free software for LOGO: FMSLogo for Windows or ACSLogo for Mac.

If students have never used LOGO before, you may wish to use some of the First Forward Into LOGO resources before exploring Moiré patterns.

Hand out this worksheet.
"For each pattern, try to work out which set of commands created it, and then try it out on the computer to see if you were right."

Bring the class together to discuss how they matched the patterns with the commands. Then challenge them to create some patterns of their own.

Finally, invite students to share the patterns they are most pleased with, and to describe how they created them.

Key questions


What effects can you get by changing the length of the lines?
What effects can you get by changing the angle between the lines?
What effects can you get by changing the number of radial lines?

Possible extension


Once students know how to program these simple Moiré patterns, use the links at the top of the problem page to explore further.

Possible support

Encourage students to experiment by changing one variable at a time in the example programs and noting what happens.