Space Diagonal
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High Quality Content by WIKIPEDIA articles! In a rectangular box or a magic cube, the four space diagonals are the lines that go from a corner of the box or cube, through the center of the box or cube, to the opposite corner. These lines are also called triagonals or volume diagonals. For the cube to be considered magic, these four lines must sum correctly. The word triagonal is derived from the fact that as you travel down the line, three coordinates change. The equivalent in a magic square is diagonal, because two coordinates change. In a tesseract it is quadragonal because 4 coordinates…mehr

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High Quality Content by WIKIPEDIA articles! In a rectangular box or a magic cube, the four space diagonals are the lines that go from a corner of the box or cube, through the center of the box or cube, to the opposite corner. These lines are also called triagonals or volume diagonals. For the cube to be considered magic, these four lines must sum correctly. The word triagonal is derived from the fact that as you travel down the line, three coordinates change. The equivalent in a magic square is diagonal, because two coordinates change. In a tesseract it is quadragonal because 4 coordinates change, etc. This section applies particularly to Magic hypercubes. Over the last 5 or 7 years, the magic hypercube community is starting to recognize an abbreviated expression for these space diagonals. By using r as a variable to describe the various agonals, a concise notation is possible.