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Can you use LOGO to draw the Star-square?
You might wish to look at the first couple of articles in the"First Forward" series. if you have not met LOGO before.
You can download some excellent free LOGO software from the internet at http://fmslogo.sourceforge.net/.
A Short introduction to using Logo. This is the first in a twelve part series.
Using LOGO, can you construct elegant procedures that will draw this family of 'floor coverings'?
In LOGO circles can be described in terms of polygons with an infinite (in this case large number) of sides - investigate this definition further.