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<record version="4" id="5704">
 <title>magic circles</title>
 <name>MagicCircles</name>
 <created>2004-03-13 19:50:33</created>
 <modified>2004-11-19 17:14:55</modified>
 <type>Definition</type>
 <creator id="3" name="drini"/>
 <author id="3" name="drini"/>
 <author id="1032" name="Johan"/>
 <classification>
	<category scheme="msc" code="51-00"/>
 </classification>
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 <content>Given $n$ circles which intersect $k$ times, the set of circles is referred to as \emph{magic circles} if there exists a numbering (using $\{1,\ldots,k\}$) of the intersections of the $n$ circles such that the sum of the numbers at the intersections along each circle is the same constant for all circles.

Further reference:
http://www.cgl.uwaterloo.ca/~smann/Magic/</content>
</record>
