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magic star
An ''n''-pointed magic star is a star polygon with Schläfli symbol in which numbers are placed at each of the ''n'' vertices and ''n'' intersections, such that the four numbers on each line sum to the same magic constant. A normal magic star contains the consecutive integers 1 to 2''n''. No numbers are ever repeated. The magic constant of an ''n''-pointed normal magic star is ''M'' = 4''n'' + 2.
No star polygons with fewer than 5 points exist, and the construction of a normal 5-pointed magic star turns out to be impossible. It can be proven that there exists no 4-pointed star that will satisfy the conditions here. The smallest examples of normal magic stars are therefore 6-pointed. Some examples are given below. Notice that for specific values of ''n'', the ''n''-pointed magic stars are also known as ''magic hexagram'' etc.
==See also==
*Magic square
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
■ウィキペディアで「magic star」の詳細全文を読む
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