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Lynne McClure introduced us to the activity where, given
enough space and enough string, a whole class can stand in a circle
and the string can be passed from one person to another to form a
star.
Suppose there are $q$ people in the circle and the string is
passed to the $p$th person around the circle each time. This leads
to many questions about symmetry, about how the stars are formed,
about why the activity sometimes produces regular polygons, and
about how many different stars can be formed for a given $q$ by
varying $p$.
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