Nov 23, 2009

Magic Circles

http://www.cgl.uwaterloo.ca/~smann/Magic/index.html

Magic Circles

Last Updated: September 16, 2002

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This page contains some work I've done on magic circles. Most of the work on these pages was either inspired by (or directly from) Clifford Pickover's book (The Zen of Magic Squares, Circles and Stars) or by W.S. Andrews's book (Magic Squares and Cubes, available at Amazon.com). A magic circle is actually a set of circles, where integers are placed at the intersections of two circles. The set of circles and integers is said to be magic if the integers on each circle sum to the same value.

Here is a simple example of a magic circle:

The numbers on each of the three circles sum to 14.

Constructions

Examples

Related Pages

The following is hardly an exhaustive list.
Stephen Mann
smann@uwaterloo.ca
University of Waterloo | School of Computer Science | 200 University Ave. W. | Waterloo, Ontario Canada | N2L 3G1 | 519.888.4567 | http://www.cgl.uwaterloo.ca/~smann/

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