The numbers 1 to 32 are arranged in a circle so that ANY two adjacent numbers sum to a square number ... really magic!!!

A magic circle is circle or sphere of space marked out by practitioners of many branches of ritual magic, either to contain energy and form a sacred space, or as a form of magical protection, or both. An important part of ceremonial magic was the drawing of a magic circle around the magician to protect him from the malice of evil spirits that he might invoke to perform his will. The circle was symbolic of a sphere that was believed to surround the magician. It both isolated him from the chaos outside and held in the magical power that he raised.
Magic circles were used for thousands of years and often took elaborate forms, requiring the inscribing of magical symbols, such as the Seal of Solomon (a double pentacle). In ancient Hindu folk customs, the bed of a woman in childbirth was encircled by red lead or black pebbles to ward off evil influences. In medieval magic practice, the circle was usually marked or drawn around the magician with a magic sword or knife.
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![]() Dürer Polyhedron |
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19
16
17 13 18
14 15
11 12
1
9 10
6 7
3 8 4
5
2
This magic circle was reported in 1660.