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2. Broken space diagonal - Wikipedia

   en.wikipedia.org/wiki/Broken_space_diagonal

   In a magic cube, a broken space diagonal is a sequence of cells of the cube that follows a line parallel to a space diagonal of the cube, and continues on the corresponding point of an opposite face whenever it reaches a face of the cube. [1] [2] The corresponding concept in two-dimensional magic squares is a broken diagonal.

3. Magic hypercube - Wikipedia

   en.wikipedia.org/wiki/Magic_hypercube

   A magic hyperbeam (n-dimensional magic rectangle) is a variation on a magic hypercube where the orders along each direction may be different. As such a magic hyperbeam generalises the two dimensional magic rectangle and the three dimensional magic beam , a series that mimics the series magic square , magic cube and magic hypercube.

4. Pandiagonal magic square - Wikipedia

   en.wikipedia.org/wiki/Pandiagonal_magic_square

   A pandiagonal magic square remains pandiagonally magic not only under rotation or reflection, but also if a row or column is moved from one side of the square to the opposite side. As such, an n × n {\displaystyle n\times n} pandiagonal magic square can be regarded as having 8 n 2 {\displaystyle 8n^{2}} orientations.

5. List of four-dimensional games - Wikipedia

   en.wikipedia.org/wiki/List_of_four-dimensional_games

   This is a list of four-dimensional games—specifically, ... Magic Cube 4D: puzzle: Don Hatch, Melinda Green ~1988 Public Domain: Java: perspective projection: No [27]

6. Pandiagonal magic cube - Wikipedia

   en.wikipedia.org/wiki/Pandiagonal_magic_cube

   Pandiagonal magic cubes are extensions of diagonal magic cubes (in which only the unbroken diagonals need to have the same sum as the rows of the cube) and generalize pandiagonal magic squares to three dimensions. In a pandiagonal magic cube, all 3m planar arrays must be panmagic squares. The 6 oblique squares are always magic. Several of them ...

7. Magic cube classes - Wikipedia

   en.wikipedia.org/wiki/Magic_cube_classes

   Proper: A proper magic cube is a magic cube belonging to one of the six classes of magic cube, but containing exactly the minimum requirements for that class of cube. i.e. a proper simple or pantriagonal magic cube would contain no magic squares, a proper diagonal magic cube would contain exactly 3m + 6 simple magic squares, etc. This term was ...