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.

- Simple Magic Circles
- Embedded Magic Squares
- A proof of non-magic for a particular set of rings.

- Harvey Heinz has a large list of links.
- Clifford Pickover has a variety of puzzles, many of which are magic circles.

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/