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A set of magic circles is a numbering of the intersections of the
Circles such that the sum over
all intersections is the same constant for all circles. The above sets of three and four magic circles have magic constants
14 and 39 (Madachy 1979).
See also Magic Graph, Magic Square
References
Madachy, J. S. Madachy's Mathematical Recreations. New York: Dover, p. 86, 1979.