Pantriagdiag magic cube

Pantriagdiag magic cube

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.

ee also

Magic cube classes

External links

*http://homepage2.nifty.com/googol/magcube/en/ : Mitsutoshi Nakamura’s Magic Cubes and Tesseracts
*http://members.shaw.ca/hdhcubes/ : Harvey Heinz All about cubes


Wikimedia Foundation. 2010.

Игры ⚽ Нужен реферат?

Look at other dictionaries:

  • Magic cube classes — Every magic cube may be assigned to one of six magic cube classes, based on the cube characteristics. This new system is more precise in defining magic cubes. But possibly of more importance, it is consistent for all orders and all dimensions of… …   Wikipedia

  • Perfect magic cube — In mathematics, a perfect magic cube is a magic cube in which not only the columns, rows, pillars and main space diagonals, but also the cross section diagonals sum up to the cube s magic constant. Perfect magic cubes of order one are trivial;… …   Wikipedia

  • List of mathematics articles (P) — NOTOC P P = NP problem P adic analysis P adic number P adic order P compact group P group P² irreducible P Laplacian P matrix P rep P value P vector P y method Pacific Journal of Mathematics Package merge algorithm Packed storage matrix Packing… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”