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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 http://www.softronix.com/logo.html

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.

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LOGO Challenge - Sequences and Pentagrams

Explore this how this program produces the sequences it does. What are you controlling when you change the values of the variables?

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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