Magic Circles
Last Updated: May 15, 2013
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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/
A proof of non-magic for
a particular set of rings.
Spirogyralia
Callicrates