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A pantriagonal magic cube is a magic cube where all 4''m''2 pantriagonals sum correctly. There are 4 one-segment, 12(''m'' − 1) two-segment, and 4(''m'' − 2)(''m'' − 1) three-segment pantriagonals. This class of magic cubes may contain some simple magic squares and/or pandiagonal magic squares, but not enough to satisfy any other classifications. The constant for magic cubes is ''S'' = ''m''(''m''3 + 1)/2. A proper pantriagonal magic cube has 7''m''2 lines summing correctly. It contains ''no'' magic squares. Order 4 is the smallest pantriagonal magic cube possible. A pantriagonal magic cube is the 3-dimensional equivalent of the pandiagonal magic square. Only, instead of the ability to move a line from one edge to the opposite edge of the square with it remaining magic, you can move a plane from one edge to the other. ==See also== * Magic cube classes * triagonal 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「Pantriagonal magic cube」の詳細全文を読む スポンサード リンク
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