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The Pythagoreans believed mathematics is the foundation of reality. They were fascinated by the regular pentagon, and the pentagram:

The pentagram has long been associated with magic. Even its mathematical properties seem almost magical!













This picture is from the Wikipedia article on the Pentagram. Created by David Benbennick, it is in the public domain.

For interesting material on pentagrams and the flag of the United States, try the Coven Oldenwilde website.