Pantriagdiag magic cube
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A Pantriagonal Diagonal magic cube is a magic cube that is a combination Pantriagonal magic cube and Diagonal magic cube. All main and broken triagonals must sum correctly, In addition, it will contain 3m order m simple magic squares in the orthogonal planes, and 6 order m pandiagonal magic squares in the oblique planes.
A proper pantriagdiag magic cube contains exactly 7m2 + 6m lines that sum to m(m3 + 1)/2.
For short, I will reduce this unwieldy name to PantriagDiag. This is number 4 in what is now 6 classes of magic cubes. So far, very little is known of this class of cube. The only ones constructed so far are order 8 (not associated and associated). Is order 8 the smallest possible for this type of cube? This cube was discovered in 2004 by Mitsutoshi Nakamura.
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