Pantriagdiag magic cube
Encyclopedia
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.
Magic cube
In mathematics, a magic cube is the 3-dimensional equivalent of a magic square, that is, a number of integers arranged in a n x n x n pattern such that the sum of the numbers on each row, each column, each pillar and the four main space diagonals is equal to a single number, the so-called magic...
that is a combination Pantriagonal magic cube
Pantriagonal magic cube
A pantriagonal magic cube is a magic cube where all 4m2 pantriagonals sum correctly. There are 4 one-segment, 12 two-segment, and 4 three-segment pantriagonals...
and Diagonal magic cube
Diagonal magic cube
A Diagonal Magic Cube is an improvement over the simple magic cube. It is the second of six magic cube classes when ranked by the number of lines summing correctly....
. 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.