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Age 16 to 18 Challenge Level:

In all three cases find the number of cycles that are repeated to give the complete path and deduce the total turn for each cycle.

Use Logo to give the instructions for drawing the pattern. Design some patterns of your own.

You do not need to have met the Logo programming language previously in order to do this question. You can download the free MSWlogo program from

If you have not used Logo before then, from the first part of this simple introduction to Logo for beginners, you can learn enough in five minutes to use Logo to experiment in drawing the spirolaterals.